First release of revised edition, December 2000
[Puzzle World Home] [Introduction] [Part 1] [Part 2] [Part 3] [Puzzle Index] [Color Plates]
Before starting this listing in numerical order, for the sake of completeness I will insert a brief mention of those which predate the list or have been omitted for various reasons that should in most cases be obvious.
The first puzzles that I made were of the common jigsaw variety, when I was barely old enough to dissect scraps of plywood with a coping saw. From earliest childhood, I had a fascination for all things mechanical. My parents were very tolerant of my urge to take apart old appliances and machinery (later radios and electronic equipment), and soon I acquired a knack at repairing them. My father was an early pioneer in both scientific plant photography and pictorial nature photography, but he soon realized the futility of encouraging me to follow in his accomplished footsteps. He plied me with books and magazines on all the things I loved - mechanical, scientific, and mathematical. There was never the slightest question but that I would study engineering in college.
As a carry-over from model airplane days, I had some solid blocks of balsa wood. With these, I was inspired to create some three-dimensional jigsaw puzzles. These probably date from around 1946, since you could not get much balsa wood during World War II.
In that wonderful 1950 book already mentioned, Mathematical Snapshots by Steinhaus, I remember being especially fascinated by the rhombic dodecahedron and its various spatial properties. This must have remained dormant in the back of my mind until reemerging two decades later. That book also described a simple 3x3x3 cubic dissection called Mikusinski's Cube, which sparked my interest in cubic dissections.
The first original design for which I have any record is a 7-piece 4x4x4 cubic dissection called Seven Block. It was designed around 1958 while I was working at M. I. T. Lincoln Laboratory. I include it so that you can see progress has been made since then. Several of us at the Lab were interested in mathematical recreations, especially fellow electrical engineer Gus O'Brien. (It was he who first introduced me to the simple but intriguing six-piece first stellation of the rhombic dodecahedron.) I created the Seven Block and made one for Gus to puzzle over, but he quickly solved it. I made only that one. It is now in a collection in England.
As previously explained, for a while before the woodcraft began, I tinkered with experimental models cast in epoxy. The following were all created between 1968 and 1970.
One of the first was Spinner, consisting of 6 identically shaped pieces in 3 colors, 2 of each. An injection-molded styrene version of this was later produced by Skor-Mor in their Geo-Logic series as Tauri. There was also a 4-color version in which each piece was of 2 halves of different color bonded together, to be assembled in color symmetry. Only about a dozen Spinners were cast.
The consisted of 12 nearly identical Z-shaped pieces, likewise cast in multicolor, which assembled to form a truncated rhombic dodecahedron. Only a few of this uninteresting design were cast.
Prism consisted of 6 identical pieces, cast in 3 colors, which assembled to form 3 intersecting square prisms. (This was later the basis for the Seven Woods (#42). Only a few of this mundane design were cast.
Pluto was a slightly more interesting version of Prism, in which each piece had a shoulder at one end, with assembled end faces slightly octagonal rather than square, and only one axis of assembly. Only a few were cast.
Octo was similar to Prism except that each piece was dissected longitudinally, making 12 pieces. It likewise used 4 colors with associated color symmetry problems. It was an exercise in dexterity to assemble. One version had a split piece for easier assembly. The assembled shape suggested an octahedron. Only a few were cast, but a modified version later led to the baffling Three Pairs (#27).
Four Color Cube consisted of 12 cast pieces, 3 of each color, which were to be assembled into a cube with 4 colors on each face. There was also a slightly more interesting version in which the pieces were joined in pairs to make 6 bicolored pieces. Only a few were cast.
Four Color Octahedron was similar to the Four Color Cube described on the previous page except octahedral when assembled, with likewise 12-piece and six-piece versions. Only a few were cast.
Tetrahedron was similar in principle to Prism except that the assembled shape was tetrahedral. It later became the basis for the injection-molded Cetus, produced by Skor-Mor in their Geo-Logic series.
There were many other experimental few-of-a-kind models cast during this phase and on into 1971, mostly not recorded. Some of them became the models for other "puzzles" in the Skor-Mor Geo-Logic series, such as Nova, Spirus, and Uni. There was one, Double Star, that could be assembled inside-out to form two different geometrical solids, but the Skor-Mor version was so misshapen as to be nearly useless.
One of the problems with the Skor-Mor series was that, in order to economize on mold costs, the manufacturer insisted on only puzzles with six identical pieces. In that way, a multi-cavity mold could produce several different puzzles at the same time. There is only so much you can do with six identical pieces. Another problem was that the pieces had to be "cored out," meaning that they consisted entirely of thin walls in order to cool faster in the mold and speed up the mold cycle. I wish now that they had never been made.
The Hectix puzzle, on the other hand, was solid .75-inch hexagonal. This was achieved by including a blowing agent in the styrene and a slower mold cycle, increasing the cost. A lot of this technology was new to the molder, and there were problems with burned or misshapen pieces, some of which were never completely corrected. The discoloration from heat was especially bad because of the ugly off-white color that the manufacturer chose. Our Agreement called for it to be made in four contrasting colors - red, yellow, green, and blue - but they never did it that way. I wish now that it had never been made in plastic. A wooden version would have been better.
As I mentioned in Part 1, for a while in 1970 I even experimented with setting up a production line myself casting puzzle pieces in epoxy. In looking back now, that seems so totally impractical that I can only wonder what I could have been thinking. One problem never overcome was that the RTV rubber molds, which were a lot of work to make, deteriorated rapidly after only a few cycles. The whole process was slow and messy, and most important, the finished product was not very attractive. And so I switched to wood, and the remainder of this publication is devoted to that phase of my work.
Again simply for the sake of being complete, before proceeding to the numerical listing, I will briefly describe just a few of the early attempts in wood which never made it into production:
OCC-Wood consists of 3 plywood pieces in the shapes of O-C-C, plus 2 small cubic blocks. They assemble easily into a familiar burr shape with the blocks inside, and the problem is to have the blocks fall into position to permit disassembly. Without the cubic blocks, it is a familiar old novelty published in many books. Only a few were made around 1973.
Rec-Tangle also consists of 3 pieces in the O-C-C shape as above, but this time of glued up pieces, with a hole in one piece and a dowel loose inside. The first step of disassembly is to shake the dowel into the hole, which can be made as easy or hard as one wishes by the size and shape of the dowel and hole. Four more steps are required to disassemble. There is also a modified version in which the O piece is split into 2 burr-like pieces. Only a few were made around 1973.
Wunder Bar consists of 6 pieces which fit together to form a cubic lattice. There are 4 types of pieces - W, X, Y, Y, Z, Z. Each piece is made up of three 1x1x5 sticks joined together. W and X are mirror image, likewise Y and Z. The diagram shows the design. There are 4 distinct mechanical solutions, but by using multi-colored woods and requiring color symmetry, the number of solutions can be reduced. Only a few were made in 1973.
Interlocking Checkerboard consists of 8 pieces which fit together 2 different ways to form (guess what!) an interlocking checkerboard (1973). Probably none were made.
Cube Brute consists of 24 identical burr pieces which interlock to form a symmetrical cubic-shaped assembly. A 16-piece square assembly is also possible. A couple sets were made in 1973. Pentangle came up with this independently around the same time, sold as their Woodchuck Puzzle. I also proposed a set to be called TWIS-T, in which 16 pieces are bonded together into 8 T-shaped pairs. In yet another variation, RUFTY, the remaining 8 pieces are also bonded together in-line. Multicolored pieces with color symmetry solutions were also proposed. Possibly a few of each were made, all in 1973.
Mosaic is an 8-piece dissection of a 4x4x4 cube, designed in 1979. I must have made at least one, but have no record. The one known solution is shown here, but perhaps there are others. It is almost serially interlocking. An improved version became Convolution (#30).
In the same vein as the above, here is one with no name which appears in my notes for 1979. It is a six-piece 4x4x3 dissection with the capability of being made with eighteen 1x1x2 blocks and twelve 1x1x1 blocks of colorful woods such that symmetrical patterns appear on all faces. It is non-interlocking, so a box or tray might be used to retain it. Must have made one.
Triful was designed in 1973 for production in plastic, and a few models made of colored wood, but it was never produced. It consisted essentially of 12 triangular sticks with end blocks added, in 4 colors, 3 of each. Four pieces, one of each color, were split in two to permit assembly. Then a wooden version was designed around 1975 which used 4 sliding key pieces instead of split pieces, but only one or two were made. Much later this design was resurrected to become the basis for Isosceles (#101) and Iso-Prism (#101-A). See also Notched Rhombic Sticks in PWPD.
As some of the above entries indicate, I have ransacked my records to include everything in this comprehensive listing of AP-ART, no matter how mundane or obscure. There were many others that were never recorded and are now lost and forgotten. A few more may turn up from time to time, and if so I will add them later on as a supplement.
I am not including in this publication any of my admittedly feeble attempts at inventing games, such as Arc-Tic, and Hebee-Shebee, as they do not fit my concept of AP-ART. For the same reason, I omit topological amusements such as Lamplighter, Liberty Bell, Bottleneck, Sleeper-Stopper, Super Sleeper-Stopper, and Figure Eight, most of which are described in PC'85.
Now on to the numbered designs. I have tried to indicate the year designed, published, or first made, when known. The first illustrated brochure I put out was in 1970, and the last in 1990. I have also indicated the approximate number made, but only up to around 1990, after which the quantities decline to the level of a retirement hobby activity.
When a thumbnail photograph of the puzzle is present, you can click on it to go to the Puzzle World page for that puzzle. Check the Color Plates for other photographs.
|Click Puzzle for More Information||Serial No.|
|1||Ortho-Cube. A 12-piece dissection of a 5x5x5 cube that is not quite solid, 3 kinds of pieces, 4 of each. Symmetrical and not difficult. This early version, which appeared on my first brochure in 1970, was made of .875-inch square birch stock. About 20 made in 1970|
|1-A||The Cube. Same as Ortho-Cube
(#1) but made of .75-inch stock in contrasting fancy woods. By using 1x1x3
blocks, symmetrical colorful patterns appear on all faces. Appeared on
1971 brochure. About 100 made, 1971-1972.
This design was later made by Pentangle as their Wookey Hole.
|2||Pentablock. The familiar set of 12 solid pentominoes in a 3x4x5 box. Not my design. This one made of .875-inch birch stock. Appeared on 1970 brochure. About 20 made. See PWPD and PC'85.|
|2-A||Pentablock. Slightly improved version of Pentablock (#2), made of .75-inch hardwood stock in a Plexiglas box. Appeared on 1975 brochure. About 10 made.|
|2-B||Pentacube. An improved version of the Pentablock (#2-A), same size, but of 12 contrasting fancy woods colorfully combined in the given solution, with a box of blue mahoe. Appeared on 1977 brochure. About 20 made.|
|3||Snowflake. Ten flat pieces made of 37
hexagons joined different ways assemble on hexagonal tray to form
Snowflake or Hexagon. Other problem shapes shown in booklet. The first
version, which appeared on 1970 brochure, was of cast thermosetting resin.
About 50 made. See PC'85, PWPD,
The next version was one made by Span-Atwater of cast polyester resin. They made about 500, 1972-1973. Came with 10-page booklet with 49 problems, as did those which follow.
A wooden version is mentioned on my 1977 brochure, but I don't think many were made. The next version was of cast Hydrastone pieces, using surplus Span-Atwater molded styrene bases. Appeared on 1978, 1979, 1981, 1984, and 1985 brochures. About 100 made.
The next version was in fancy wood with plywood base and cover. About 10 made in 1986.
The next version was in thin birch plywood cut by Jim Ayer with a water jet, with molded styrene base. Appeared on 1990 brochure. About 30 made.
The next version was in plastic foam, made and sold by Binary Arts around 1993.
The most recent version was laser-cut by Walter Hoppe.
Note: All of these versions except the last one were the same scale - .75-inch hexagons.
|4||Sirius (aka Diagonal Star). The familiar six-piece first stellation of the rhombic dodecahedron. Not my idea - in the public domain. See PC'85, PWPD, and PC'92. This version made of glued up pieces in 3 contrasting hardwoods, 1-inch stock. Appeared on 1971 brochure. About 100 made.|
|4-A||Star. An improved version of the Sirius (#4) in 3 fancy woods, 1.25-inch stock. Appeared on 1974 and 1975 brochures. About 400 made.|
|5||Spider-Slider. Six identically shaped symmetrical pieces, each one made of 4 triangular sticks. In basswood stained 4 colors. About 20 made in 1970, my first polyhedral AP-ART in wood. See PC'85 and PWPD.|
|5||Scorpius. An improved version of the Spider-Slider (#5) in 4 contrasting fancy woods. Appeared on 1971 and 1972 brochures. About 200 made.|
|6||Four Corners. Six identically shaped symmetrical pieces in 4 contrasting fancy woods of 1-inch stock, assemble easily to make a polyhedral solid intermediate between the first and second stellations of the rhombic dodecahedron. Appeared on 1971, 1972, 1974, and 1975 brochures. About 200 made. See PC'85, PWPD, and PC'92. A version of Four Corners in 2 fancy woods was made by Roy Rice for the IPP-14 puzzle exchange.|
|6-A||Aries. The plastic version of Four Corners (#6) made by Skor-Mor for their Geo-Logic series.|
|7||Jupiter. Twelve identically shaped pieces, each one made up of 5 triangular sticks, assemble to form a hollow nearly spherical solid which I call a castellated triacontahedron. Six contrasting fancy woods are used, to be assembled with color symmetry. Over the years, by far my most popular AP-ART creation, but probably as a sculptural curiosity rather than a mechanical amusement. I'll bet half of those made have never been disassembled! Appeared on 1971, 1972, 1974, 1975, and 1977 brochures. About 400 made. See PC'85 and PWPD.|
|8||Nova. Six identical symmetrical pieces easily assemble to form the second stellation of the rhombic dodecahedron. More of a sculpture than a puzzle. Appeared on 1972 brochure. About 100 made of 1-inch zebrawood.|
|8-A||Nova. A plastic version of the above made by Skor-Mor for their Geo-Logic line.|
|8-B||Nova. A fancy version in 4 contrasting woods, color symmetry. Three made in 1987.|
|9||Square Knot. (aka Altekruse). Twelve identical notched square sticks - a popular design patented by W. Altekruse in 1890 and now in the public domain. My version used 3 contrasting fancy woods of .875-inch stock. I also included 2 extra pieces to make my newly discovered 14-piece version. Appeared on 1974 and 1975 brochures. About 40 made. See PC'85 and PWPD.|
|9-A||Frantix. A variation on Square Knot (#9) with pins and holes in place of notches. Two kinds of pieces, 6 of each. Only 4 made in 1973, as it was a prototype for the plastic version, Frantix (#9-B). See PC'85, PWPD, and PC'92.|
|9-B||Frantix. This design was licensed to 3M Company in 1974 for manufacture in injection molded styrene as a sequel to Hectix. It was very poorly made, with tapered holes, and not a success.|
|9-C||Frantix. This more interesting wooden version had extra pins and holes in the centers, 4 kinds of pieces, 3 of each. Probably about 4 made around 1973. See PC'85 and PWPD.|
|10||Giant Steps. A variation of Square Knot (#9) (but not an improvement!) made by adding extra blocks to 6 of the pieces to make T-shaped pieces. Appeared on 1974 and 1975 brochures. About 20 made, mostly butternut.|
|11||Hexagonal Prism. Six dissimilar pieces assemble one way only with only one sliding axis - a significant departure from previous AP-ART designs. Appeared on 1974 and 1975 brochures. About 60 made. See PC'85 and PWPD.|
|11-A||Double Hexagonal Prism. A variation of the Hexagonal Prism (#11) with eight faces made by adding more blocks.|
|12||Triangular Prism. A variation of the Hexagonal Prism (#11) by adding 12 more blocks to transform it into a most intriguing solid - and one that reappears later as Burr Muda (#112). Appeared on 1974, 1975, 1980, and 1981 brochures. About 100 made, mostly in mahogany. See PC'85 and PWPD.|
|12-A||Triangular Prism (elongate version). This was a slightly different version of the Triangular Prism (#12). Many such variations are possible depending upon how the additional blocks are placed. Only about 2 made around 1974.|
|13||The General (Four Star). A variation of Triangular Prism (#12) made by adding yet 12 more blocks. Appeared on 1974 and 1975 brochures. About 20 made, mostly in mahogany. See PC'85 and PWPD.|
|13-A||The General (elongate version). Same idea as Triangular Prism (#12-A). Only one made, around 1974.|
|13-B||Ring of Diamonds. An interesting variation of The General ( #13) made using rhombic rather than triangular stick segments. Easier to make. Evidently designed in 1973 and forgotten, then rediscovered in 1995. A few made in 1995. More information on the Dec. 1995 instruction sheet.|
|14||Super Nova. Same shape as Nova (#8), but 6 dissimilar pieces, difficult. A few had 8 dissimilar woods, but most were one wood. Appeared on 1974 and 1975 brochures. About 20 made.|
|14-A||Second Stellation. An improved version of the
Super Nova (#14), more accurately made.
Appeared on 1981 brochure. About 50 made in mahogany. See PC'85 and
A further improved version of Second Stellation was made starting in 1983, using triangular rather than square stock. About 50 made in mahogany.
|14-B||Augmented Second Stellation. A variation of Second Stellation (#14) in which the arms are lengthened to make a different shape. Only 2 made in 1990. This was redesigned in 1996 to use smaller .8-inch stock in 4 contrasting fancy woods, and a few more made.|
|15||Triumph. The 6 identically shaped pieces somewhat resemble those of Four Corners (#6), but have bilateral rather than axial symmetry. Assembles into 3 different symmetrical polyhedral shapes, the first AP-ART to do so. Use of 2 contrasting woods introduces color symmetry patterns also. Appeared on 1974 and 1975 brochures. About 50 made. See PC'85, PWPD, and PC'92.|
|15-A||Fusion-Confusion. By making a Triumph (#15) and bonding two pairs of pieces together different ways, an entirely new and more confusing amusement emerges. It likewise makes the 3 different shapes of Triumph (#15), but the color scheme is different. First made in 1990, and about 40 made in fancy woods. See PC'92.|
|16||Dislocated Scorpius. A variation of Scorpius (#5) with 6 identical but non-symmetrical pieces, making it slightly more confusing to assemble and disassemble. Appeared on 1974 and 1975 brochures. About 20 made. See PC'85 and PWPD.|
|17||Dislocated Jupiter. A variation of Jupiter (#7) analogous to Dislocated Scorpius (#16). Most and perhaps all were made of one wood. Appeared on 1974 and 1975 brochures. About 10 made. See PC'85 and PWPD.|
|18||Abbie's Waffle. Six pieces, each made of 4 cubic blocks, assemble various ways onto a square tray or into a 2x3x4 box. Created by my daughter and demonstrated by her on the PBS children's program ZOOM, first aired 9 Dec 1973. Appeared on 1975 brochure. About 10 made. See PC'85 and PC'92.|
|18-A||Joined Pairs. In the same style as the Abbie's Waffle (#18), 6 pieces, each made of 1x1x2 blocks joined different ways, pack into a 2x3x4 box various ways. Only one made in 1990. See PWPD and PC'92.|
|19||Pyracube. Four of the pieces are made of
truncated rhombic dodecahedron (or edge-beveled cubes) joined different
ways, and the 5th piece is a single such block, for a total of 14 blocks.
They pack snugly into a their cubic box, with or without the single block,
form a square pyramid, a rectangular pyramid, or a triangular pyramid with
only 4 pieces. Appeared on 1975 brochure. About 20 made. See PWPD.
A variation of this design using spheres appears in Creative Puzzles of the World by van Delft & Botermans, page 85.
|20||Pin-Hole. Six 1x1x3 bars with pins and holes assemble easily into a burr-like figure. By adding one or more pieces twice as long, more complicated assemblies are possible. Appeared on 1977 and 1978 brochures. About 50 sets made. See PC'85, PWPD, and PC'92.|
|20-A||King Pin. This was a variation of Pin-Hole (#20) but with blind holes and free pins as a sort of puzzling large construction set. It never got beyond the development stage in 1975.|
|20-B||Goose. A variation of King Pin (#20-A) but with animated figures, likewise never went beyond the development stage in 1986|
|21||Cuckoo Nest. Six hexagonal bars are held together with 6 dowels. Two solutions. Appeared on 1977, 1978, and 1979 brochures. About 100 made in birch. See PC'85 and PWPD.|
|22||Locked Nest. Twelve hexagonal bars are held together with 12 dowels in a symmetrical assembly. There are 2 versions. Most of those made had 5 elbow pieces, but the more challenging version has 6 elbows. Appeared on 1977, 1978, and 1979 brochures. About 100 made in birch. See PC'85 and PWPD.|
|22-A||Locked Nest (three-hole variation). This is simply a version of the Locked Nest (#22) in which the bars and dowels are shortened so that the end holes are eliminated. Only one made in 1990. Never illustrated, but use your imagination.|
|22-B||Siamese Locked Nests. Two Locked Nests (#22) joined together using longer bars. See PWPD. Two made in 1989. (Many other variations are possible.)|
|23||Scrambled Scorpius. A variation of Scorpius (#6) in which all the pieces are dissimilar and non-symmetrical. Only one solution and one order of assembly. Much more difficult than I realized when I first offered it. One of my most satisfactory AP-ART designs. Appeared on 1978, 1979, 1980, and 1981 brochures. About 200 made. See PC'85 and PWPD.|
|23-A||Egyptian. An improved and enlarged version of Scrambled Scorpius (#23), with the solution coded on the pieces. A few made in oak, 1993-1995.|
|24||Saturn. Similar to Jupiter (#7) except 6 kinds of pieces, two of each. Intended to have only one solution, but other solutions have been discovered. Appeared on 1978, 1979, 1980, and 1981 brochures. About 65 made, mostly in one kind of fancy wood. The deluxe versions had 6 kinds of wood and doweled joints. See PC'85 and PWPD for description.|
|25||Hectix. Twelve notched hexagonal bars interlock to form a symmetrical assembly. Nine bars have 2 notches and 3 bars have 3 notches. There are 3 distinctly different solutions. Patent 3721448. One of my most satisfactory AP-ART designs, discovered independently by Bill Cutler around 1965. This is the plastic version licensed to 3M Company in 1970. About 100,000 made. It was supposed to be in 4 colors, but they never got it. See PC'85 and PWPD. Copies have been made in Japan, France, and Australia.|
|25-A||Hexsticks. This is my wooden version of the Hectix (#25)in which 7 bars have 2 notches, 3 bars have 3 notches, and 2 bars have one notch. Same solutions possible. Appeared on 1979 and 1981 brochures. About 150 made, mostly birch.|
|25-B||Giant Hectix. Wooden version of the original Hectix (#25) but twice the size - 1.5-inch hexagonal stock. A few made in 1993.|
|25-C||Four-Color Hexsticks. A wooden version of the original Hectix (#25), but in 4 contrasting colors as it was supposed to have been, and larger - 1-inch instead of .75-inch. A few made in 1995.|
|25-D||Hextix. A wooden version made by Bits & Pieces and seen by me only in their 1996 catalog.|
|26||Four-Piece Pyramid. Four pieces, each made of 4 rhombic dodecahedron blocks joined different ways, assemble with surprising confusion one way and one order only to build a pyramid. Appeared on 1979 and 1981 brochures. The first 12, made in 1976, used edge-beveled rosewood cubes and doweled joints. The next 30, made around 1979, used 1-inch cherry rhombic dodecahedron blocks. About 25 were made starting in 1981 with larger edge-beveled cubes. In 1997, I made a few in contrasting fancy woods. See PC'85 and PWPD.|
|27||Three Pairs. Two kinds of pieces, 3 of each, assemble with amazing difficulty, to make the solid shown. My first truly coordinate motion puzzle, and still one of the best. Appeared on 1979 and 1981 brochures. About 150 made in mahogany. In 1986, a deluxe edition of 10 were made in rosewood with doweled joints. See PC'85, PWPD, and PC'92.|
|27-A||Three Pairs Variation. (aka Split Second) Several variations are possible, all with the same internal function but different external shape. The one with this designation is the second stellation of the rhombic dodecahedron, only one model made. I have also made a model having the shape of the first stellation of the rhombic dodecahedron, and another resembling the Four Corners (#6). Used as an exchange puzzle at IPP-19.|
|28||Truncated Octahedra. Five pieces made of 14 truncated octahedra blocks pack into a square box. Twelve-page booklet shows 18 other problems. Appeared on 1979 and 1981 brochures. About 50 made using 1.5-inch mahogany cubes with corners removed and box of Baltic birch which could be inverted to hold the square pyramid construction. See PC'85 and PWPD.|
|29||Half-Hour. Six-piece 3x3x3 cubic dissection with unique solution. Dozens of other construction problems were submitted by H. Havermann and D. Barge. Appeared on 1980 and 1981 brochures. About 50 made of 1-inch stock. Reissued in 1984 using 6 contrasting woods and a box of blue mahoe. See PC'85, PWPD, and PC'92.|
|30||Convolution. Seven pieces assemble one way only and in one order only to form a 4x4x4 interlocking cube with symmetrical pattern on all 6 faces. Appeared on 1980 and 1981 brochures. About 50 made of .75-inch stock. See PC'85, PWPD, and PC'92. Recently a fine reproduction of this design has been made by Wayne Daniel.|
|31||Octahedral Cluster. Four pieces made of 19 rhombic dodecahedron blocks assemble one way only and in one order only to form an interlocking octahedral cluster. Baffling. Appeared on 1980 and 1981 brochures. About 40 made of 1.25-inch limba rhombic dodecahedron blocks. See PC'85, PWPD, and PC'92.|
|31-A||Five-Piece Octahedral Cluster. Like the Octahedral Cluster (#31) except 5 pieces. Perhaps even more baffling. Recently I have made a few from 1-inch edge-beveled cubes of 5 fancy woods.|
|32||Broken Sticks. Six dissimilar pieces made of triangular stick segments assemble one way only with one sliding axis. Difficult. Appeared on 1980 and 1981 brochures. About 50 made. See PC'85 and PWPD.|
|33||Twelve-Point. Six dissimilar pieces assemble one way only to form an intriguing solid intermediate between 2nd and 3rd stellations of the rhombic dodecahedron. Appeared on 1981 brochure. About 50 made of 1-inch stock in 2 contrasting woods. See PC'85 and PWPD.|
|33-A||Twelve-Point. A remake of the Twelve-Point (#33) in .8-inch stock. A couple made in 1996.|
|34||Augmented Four Corners. Six pieces assemble one way only with one sliding axis. Appeared on 1981 brochure. About 60 made of 1-inch stock in 2 contrasting woods. See PC'85 and PWPD.|
|34-A||Modified Augmented Four Corners. These are variations of the Augmented Four Corners (#34) made by sanding the four faces down by varying amounts to create interesting sculptural effects, especially when using contrasting woods. Two versions made, one model of each, probably in early 1970's. One is shown.|
|35||Burr #305. Ordinary notchable Six-Piece Burr with unusual 3+3 solution. Appeared on 1981 brochure. About 60 made of 1-inch stock. See PC'85, PWPD, and PC'92.|
|36||Coffin's Improved Burr. More complicated than Burr #305 (#35), with 5 shifts to release the first two pieces. Appeared on 1981 brochure. About 50 made. See PC'85.|
|37||Star-of-David. Six dissimilar non-symmetrical pieces assemble to form three different interlocking polyhedral solids with confusing diagonal axes of assembly. Appeared on 1981 brochure. About 50 made of 1-inch mahogany stock. See PWPD.|
|37-A||Star-of-David, improved version. Same as Star-of-David (#37) but achieved with simpler pieces. About 12 made, beginning in 1990. In 1997, a few made of .8-inch stock in 2 contrasting fancy woods. See PC'92.|
|38||Three-Piece Block. Three pieces made of 10 cubic blocks interlock to form a triangular pyramid. Surprisingly confusing. First 300 made of cherry for Citibank in 1980. About 50 more made starting in 1981, all of 1-inch blocks. See PC'85, PWPD, and PC'92.|
|39||Rosebud. Two kinds of pieces, 3 of each, assemble with much difficulty by coordinate motion to form an intriguing polyhedral solid. About 42 made, starting in 1982. Some were in mulberry and cherry, others the deluxe in rosewood and tulipwood. See PWPD.|
|39-A||Rosebud Assembly Jig. Was made available later. Could (perhaps) be assembled without, but much easier with. About 32 made, starting in 1983.|
|40||Interrupted Slide. A higher-level Six-Piece Burr with one or two interesting solutions, depending upon the length of pieces. Made 28 in 1982 of golden bilinga. See PC'85.|
|41||Unhappy Childhood. Ten checkered pieces, each made of 5 cubic blocks joined different ways, pack into a 5x5x2 box. About 50 made, 1983-1984. See PWPD, page 47.|
|42||Seven Woods. Six simple pieces make a modified Diagonal Burr. About 20 made in 1971. See PC'85|
|42-A||Brickyard. A Seven Woods distorted by flattening along vertical axis. Only 2 made. Proposed for 1996 exchange puzzle but never used. Too simple perhaps.|
|43||Sleeper-Stopper. (Topological - not AP-ART)|
|44||Super Sleeper-Stopper. (Topological - not AP-ART)|
|45||Buttonhole. (Topological - not AP-ART)|
|46||Vega. Six simple identical pieces assemble easily to form an attractive solid. About 30 in fancy woods, 1-inch stock, sold at craft shows, 1972-1975.|
|46-A||Vega II. Same shape as Vega (#46), but made by truncating Superstar (#50). Maybe made one or two.|
|47||Cluster-Buster. Six identical pieces assemble easily into a polyhedral solid, but trickier to disassemble. About 5 made in 1973. See PC'85 and PWPD, page 97.|
|48||Truncated Cluster-Buster. Minor variation of the Cluster-Buster (#47). About 5 made in 1973.|
|49||Improved Cluster-Buster. Variation of the Cluster-Buster (#47) with dissimilar pairs of pieces. An unpublished design. About 10 made in 1973.|
|50||Superstar. Six identical pieces assemble easily to make 3rd stellation of rhombic dodecahedron. About 10 made in mahogany for craft shows, 1972-1975. See PWPD.|
|50-A||Superstar II. Variation of the Superstar (#50). One made in 1990. See PWPD.|
|50-B||Third Stellation. Version of Superstar II (#50-A) in 4 contrasting fancy woods, to be assembled with color symmetry. Proposed in 1986 but never made. See PWPD.|
|51||Little Superstar. Truncated version of Superstar (#50). Six identical pieces make 2nd stellation of the rhombic dodecahedron. Just a sculpture. Probably made a few.|
|52||Pennyhedron. Two pieces form rhombic dodecahedron. Amusing to take apart. Invented by my kids in 1971 while playing with scraps. With variations too numerous to mention. Made about 150, 1971-1985. See PC'85, PWPD, and PC'92.|
|52-A||Hole-in-One. Simple 3-piece derivative of Pennyhedron (#52) with pin and hole, coordinate motion. Proposed exchange puzzle but never used. Unpublished design.|
|52-B||Button Box. A distorted Pennyhedron (#52)in 4 fancy woods, used as an exchange puzzle at IPP-16.|
|52-C||Pennyhedron Trick Pair. A pair of Pennyhedrons which look alike but come apart two different ways. Only one set made. See PC'85 and PWPD.|
|53||Little Giant Steps. An uninteresting variation of Giant Steps (#10) in which the added blocks are cubic instead of 1x1x2. About 3 made in 1973.|
|54||Defiant Giant. A bizarre variation of Giant Steps (#10) in which the added blocks are attached differently. The first piece is a standard Square Knot (#9) piece of length 5, of which six are required. The next piece has a 1 x 1 x 1.5 block attached, and the next two a 1 x 1 x 2 block, one of each required. The last piece also has a 1 x 1 x 2 block, three required. Very tricky to assemble. Not previously published. Only one made in 1973.|
|55||Pagoda. Eight cubic blocks are added to the Square Knot (#9), resulting in 3 kinds of pieces, 4 of each. Somewhat trickier than standard Square Knot to assemble. Probably a few made in 1973.|
|56||Giant Pagoda. This version combines both the
added blocks of Giant Steps (#10) and Pagoda
(#55), resulting in 6 kinds of pieces, 2 of each. Probably made a few in
One of the delights of this editorial project is rediscovering old models, or plans for same, that were filed away many years ago and forgotten. Usually the reasons for putting them aside are obvious. On the other hand, in the light of experience sometimes new ways are seen to correct some deficiency. Every design listed here has its roots in previous designs, sometimes recombining in unexpected ways. Alas, such is not the case with the four dull ideas listed above, at least not yet.
|57||Plus 2. The 14-piece version of Square Knot (#9). See PC'85 for the amusing story of this design and its many variations. I may have made about 20 of these, 1973-1975, but my records did not always distinguish between the 12- and 14-piece versions. I made a few of the larger versions also, such as the 24- and 36-piece.|
|58||Diagonal Cube. Six pieces in 2 contrasting woods assemble diagonally to form an attractive cube. About 20 made in fancy woods, 1981-1985. See PC'85 and PWPD.|
|59||Corner Block. A Pin-Hole (#20) with 8 cubic blocks added to the corners. About 30 made in, starting in 1980. See PC'85.|
|59-A||Improved Corner Block. Designed in 1985 to
replace Corner Block (#59). About 15 made.
A nice replica of Corner Block (#59) has been made by Wayne Daniel
|60||Garnet. Six dissimilar pieces, each made of 4 tapered blocks, assemble into a rhombic dodecahedron. Appeared on 1984 brochure. About 30 made. See PWPD.|
|61||Setting Hen. Four pieces made of 14 rhombic dodecahedron blocks fit into a cubic box and construct other problem shapes. Appeared on 1984 brochure. About 30 made. Design not published.|
|61-A||Distorted Cube. A revised and improved version of the Setting Hen (#61), made instead with edge-beveled cubic blocks. Tricky box makes both cubic or rectangular insides. Designed in 1988. About 20 made. See PC'92.|
|62||Nine Bars. Same idea as Cuckoo Nest (#21), but 9 bars and dowels instead of 6, and 3 layers instead of 2. Only one solution known - difficult. Appeared on 1984 brochure. About 10 made in birch. See PWPD.|
|63||Pseudo-Notched Sticks. Six identical pieces. A novelty. Looks like ordinary Diagonal Burr but comes apart differently. About 25 made in 1985. See PC'85 and PWPD.|
|64||Expanding Box. Just a novelty. Six identical pieces enclosing cubic space expand with coordinate motion. Two made in 1971. See PWPD.|
||65||Thirty Notched Sticks. In my file of design ideas for 1972, I list theoretically a rhombic version and a couple of pentagonal versions. Shown are a cast epoxy triangular version and a rough wood pentagonal version. For more information, see PWPD.|
|65-A||Thirty Notched Rhombic Sticks. This version of the Thirty Notched Sticks (#65) has an instruction sheet dated 1987, evidently the year that a few were made. See PWPD.|
|66||Crystal Blocks. The pieces are rhombic dodecahedron blocks joined together different ways. Originally cast in epoxy, this would be listed in Part 1 except that I tinkered with wooden versions also. There were various sets tried, but the final version had 6 pieces and 22 blocks. It never got beyond design stage, but still it was an entertaining project, I proposing the sets of pieces and their associated problems, and Mike Beeler analyzing them using his computer. Only a few sets were actually made, either cast epoxy or wooden. But who cares if it never went into production. We had fun doing it! I still have all the papers, in case anyone wants to pursue something along these lines.|
|67||Peanut. Six polyhedral pieces fit together many ways to construct problem shapes. Designed in 1973 for possible manufacture in plastic. Resurrected in 1986 to make in wood. Made about 30 in 1-inch mahogany. See PC'85, and PC'92.|
|67-A||Shatterblock. Same idea as Peanut (#67), but based on a different dissection of the rhombic dodecahedron - three-pronged as in Pennyhedron (#52). Five kinds of pieces, two of each. Designed in 1973, and originally intended for production in plastic, which influenced the choice of design for ease of injection molding. Never got beyond design stage. Unpublished.|
|67-B||Pennydoodle. Improved version of Shatterblock (#67-A). Five pieces fit together many different ways. Eight problem shapes shown. About 30 made, 1989-1990. To be entirely satisfactory, they had to fit together precisely. But they had a tendency to warp and then not fit, so discontinued making. See PC'92.|
|68||Confessional. Variation of Square Knot (#9) using 85 degree rhombic sticks rather than square, .75 x 3 inches. Two kinds of pieces, 8 of one and 4 of the other. Tricky solution involves rotation. Designed in 1994.|
|68-A||Leaning Tower of Altekruse. A 14-piece variation of Confessional (#68-B). An IPP-15 exchange puzzle.|
|68-B||Confessional (long version). Like the original Confessional (#68) except sticks are 5 units long instead of 4. Even more confusing. One of my most satisfactory designs, but only a few made because of the labor of sawing out the slant notches with multiple saw cuts. With a special cutter, would be easy.|
|69||Unnamed. Distorted variations of Scorpius (#5) and Jupiter (#7) that never got beyond preliminary design stage.|
|70||Improved Saturn. An improved version of Saturn (#24) with unique solution. Never found one. See PWPD. Also see Sphinx (#164)|
|71||Stucksticks. A Hexsticks (#25-C) in 4 colors, but with 4 pairs of pieces bonded together for greater difficulty. Designed in 1995, and so far only 3 made. Unpublished.|
|71-A||Stucksticks (harder version). Variation of Stucksticks (#71), with only one kind of wood, even more confusing. Proposed but not yet made.|
|72||Design Number 72. Based on a dissection of the triacontahedron into 60 identical wedge-shaped blocks. In this version, each piece made of 6 blocks, all pieces dissimilar and non-symmetrical, and each a different kind of wood. Six made in 1985. Unpublished design, but this illustration gives a hint.|
|72-A||Design Number 72 (two-tiered version). Very complicated. Evidently one made in 1990, unpublished and unrecorded. In the two-tiered version, the blocks of the outer shell are truncated to make space for the inner layer. The inner layer are truncated also, because easier to make that way.|
|73||Seven-Piece Third Stellation. Tricky! All 7 pieces dissimilar and non-symmetrical. First step is 3-piece coordinate motion, remaining steps serially interlocking. Evidently designed in early 1970's and forgotten. Rediscovered in 1985, and five made in 1-inch mahogany. A satisfactory but unpublished design.|
|73-A||Seven-Piece Third Stellation (modified). This version of the Seven-Piece Third Stellation (#73) was designed in 1996 to incorporate a very tricky rotation in the coordinate motion first step of assembly. Unfortunately, this results in 2 pieces being identical and the final piece being a plain straight stick. A few made in .8-inch fancy woods, four colors. Unpublished design. I think I prefer the original version.|
|74||Square Face. To the Pseudo-Notched Sticks (#63), 12 additional notched blocks are attached, making 6 dissimilar non-symmetrical pieces. Two solutions. About 20 made, 1987-1988. See PWPD.|
|74-A||Square Face (improved). A variation of Square Face (#74), likewise 6 dissimilar non-symmetrical pieces, one solution with minor variations, coordinate motion.|
|75||Split Star. Complicated two-tiered variation of Garnet (#60), with the added outer layer making the first stellation of the rhombic dodecahedron. Four made in 1985 of applewood. See PC'85.|
|75-A||Two Tiers. Could be considered two Garnet (#60) types, one inside the outer hollow one. Designed and illustrated in 1988, but never made. See PWPD.|
|76||Cornucopia. A large family of designs involving fitting 10 hexominos chosen from a special set of 17 onto an 8 x 8 tray. Analyzed by M. Beeler around 1985 using a powerful computer and sophisticated techniques. About 100, all different, made 1985-1987. Also made in kit form. See PWPD.|
|76-A||Cornucopia 105747 (the Copious Cornucopia). Selected from among the 8203 possible usable sets for greatest versatility of solutions. About 30 made, 1985-1986, using 10 contrasting fancy woods.|
|76-B||Cornucopia 107715. Used in the IPP-16 puzzle exchange.|
|77||Pieces-of-Eight. Eight dissimilar pieces join together different ways to construct a cube and 8 other shapes. About 25 made, 1986-1988. See PWPD.|
|78||Pillars of Hercules. Has superficial appearance of an ordinary 5-piece dissection of a 3x3x3 cube, but two of the pieces break in two, using a joint as in Pieces-of-Eight (#77), to make 7 pieces, greatly increasing the difficulty. Two made in 1990. See PWPD.|
|78-A||Pillars of Hercules. Similar to the Pillars of Hercules (#78) except that the three apparent pieces all break in two, making six puzzle pieces. Trickier, since one piece must be assembled last and come apart first. Three made in 1990.|
|78-B||Pillars of Hercules. Another variation of the Pillars of Hercules (#78) in which, instead of coming apart, two of the pieces have rotating joints, made using countersunk flat-head screws, with the screw heads hidden by glue joints. Two made in 1990.|
|78-C||Five-Piece Solid Block Puzzle. Just an ordinary 5-piece dissection of the 3x3x3 cube. What makes it different from most is that if accurately made it tends to be interlocking, depending upon one's definition of interlocking, and surprisingly confusing. Two made in 1990. See PC'92.|
|78-D||Pretty Puzzle. Another 5-piece dissection of the 3x3x3 cube, this one not very difficult but if made of colorful contrasting woods has symmetrical patterns on the faces. One made in 1990.|
|79||Triple Cross. Among the various possibilities of using larger pieces with the type of joint used in the Pieces-of-Eight, this particular one used 12 or 14 pieces assembled in the familiar Altekruse configuration. Two made in 1973. See PWPD, page 165.|
|80||Thirty Pinned Pentagonal Sticks. This creation uses 30 identical pentagonal sticks pinned together with 30 dowels into a sort of spherical cluster. Each stick has 7 holes. It could be considered a geometrical construction kit, not too difficult if you have an illustration of the assembly to follow. About 20 made, 1987-1988. See PWPD.|
|80-A||Thirty Pinned Pentagonal Sticks (smaller 5-hole version) The sticks are shortened and the two end holes omitted. One made in 1988. See PWPD.|
|80-B||Thirty Pinned Pentagonal Sticks (even smaller 3-hole version). One made in 1988. See PWPD.|
|81||Nest Construction Set. This idea was proposed as an extension of the scheme used in the Locked Nest. No sets were ever produced - only a few experimental pieces. See PWPD.|
|Two-Three, Four-Legged Stand and Double Four-Legged Stand. These were all minor variations of the Nest Construction Set (#81). See PWPD.|
|82||Patio Block. Eight pieces, each one consisting of 1x2x2 rectangular blocks joined different ways, assemble to form a 4x4x4 cube with external symmetry. The idea for this came to me in a publication by Ric van Grol, which attributes the original 10-piece design to Toshiaki Betsumiya and an 8-piece version to Kevin Holmes. Four made in 1988. See PWPD and PC'92.|
|Pentagonal Stand. Five identical pentagonal sticks are held together with five dowels. In the "A" version, two of the dowels are fixed in place to make two elbow pieces. The assembly has five-fold symmetry. About 20 made in 1990. See PWPD.|
|84||Obstructed Pins. This could be considered a variation of Locked Nest (#22), with three holes in each of the 12 sticks rather than five, and no elbow pieces. Three of the sticks are slightly shorter at one end, allowing three dowels to be removed to begin disassembly. Two made in 1988.|
|84-A||Unnamed. This is a 30 pentagonal stick version of the Obstructed Pins (#84). Details of the design were never recorded. Only one made in 1988, now in California.|
|85||Twelve-Piece Separation. Twelve triangular sticks with pyramidal end blocks attached assemble with some difficulty to form an interlocking symmetrical burr. Fully described in PC'92, including solution. About 30 made, 1988-1992. A 1997 version was 10% smaller with fancy woods, 5 made.|
|85-A||Geodynamics. This is a variation of the a Twelve Piece Separation (#85) where it has been distorted by expansion along one orthogonal axis and compression along another - i.e. from cubic to brick shaped. To put it another way, all the sticks are of 50-60-70-degree cross-section. Very confusing to assemble, but the pieces are lettered in conjunction with printed solution. Difficult to make, requiring many complicated saw jigs. Thirteen made in 1994. There was a variation made of the Geodynamics, which my notes indicate had additional blocks for even greater confusion, details not recorded. One made of Sitka spruce around 1990, now in England.|
Note: From here on, regrettably many of the descriptions will be found
to be lacking in sufficient detail to serve as directions for making them. The
reason for this is that we now enter a phase of AP-ART in which many of the
designs involve distortions, weird angles, or other complications - hard to
design, even harder to make (not to mention solve!), and beyond my patience to
attempt to illustrate.
|86||Four-Piece Separation. A derivative of Twelve Piece Separation (#85). Four simple pieces, very easy, just a novelty. Four made in 1988.|
|86-A||Three-Piece Separation. Another variation of Twelve Piece Separation (#85), coordinate motion. One made in 1988.|
|87||Two-Sided Tray. This was a six-piece diagonal dissection of the square. It came with a two-sided tray, square on one side and rectangular on the other. One made for Atlanta museum exhibit in 1992 and lost there. For improved version, see Quadrilateral (#87-A).|
|87-A||Quadrilateral. This is an improved 7-piece variation of the Two-Sided Tray (#87). It is fully described in PC'92. Designed in 1989 and produced for a while in the early 1990's by Trench Enterprises in England.|
|88||Little Rocket. Six pieces made up of triangular blocks assemble to form solid rhombic dodecahedron, with square cupped stand to hold them together. Ten made, 1989-1990 (to use up scrap blocks left over from other projects).|
|89||Cylindrix. This was to be a variation of Hexsticks (#25-A), using round dowels rather than hexagonal. One rough model made long ago, which may still be around somewhere.|
|90||Permutated Four Corners. As the name suggests, this was a variation of Augmented Four Corners (#34). Two were made and sold in 1990, but the design was never recorded and I have forgotten the construction.|
|91||Pinned Triangular Sticks. Evidently this was to be a variation on Hexsticks (#25-A) in which the 12 triangular sticks were held together with pins rather than notches. Never carried to fruition.|
|92||Queer Gear. Six pieces assemble to form a Star of David prism. A few made around 1985. See PWPD.|
|92-A||Second Gear. This is a variation of Queer Gear (#92) in which the vertical axis has been compressed by 22%, changing all the angles and greatly complicating construction. Colorful wood combinations used. Eight made in 1996.|
|93||Four-Piece Interlocking Cube. A four-piece serially interlocking 3x3x3 cubic block dissection. Three made in 1992 and 2003.|
|94||Fourth Dimension. This is a derivative of Pennydoodle (#67-B). The four pieces (two of each kind) assemble with coordinate motion two different ways, making either a square or tetrahedral form. Must be made accurately and of stable woods to work satisfactorily. Otherwise would have made more. Four made in 1991.|
|95||All Star. This is an extension of Star-of-David (#37). The six dissimilar pieces assemble to form three different solids having three-fold symmetry plus two solids having reflexive symmetry. About 10 made in fancy woods starting in 1990, the more recent ones being scaled down about 10% from the original.|
|96||Teddy Burr. This design is derived from the standard Six-Piece Burr having five type-2 pieces and one type-3 piece (see PWPD), except that the three orthogonal axes are all skewed by 5 degrees, making assembly slightly more confusing. Eight made in 1993.|
|96-A||Grizzly Burr. Another variation of the standard Six-Piece Burr, but in this one all three pairs of sticks are rotated 5 degrees from their orthogonal positions, making the solution surprisingly confusing. About 30 made in 1994.|
|96-B||Double Notch (aka Grin 'N Burr It). Superficially similar to the Grizzly Burr (#96-A), but the double notch feature requires additional shifts to assemble, making it even more confusing. Used as an exchange puzzle at IPP-16.|
|97||Crooked Notches. This design is derived from the familiar six-piece Diagonal Burr, which has been compressed along one of its 3-fold axes, making the sticks rectangular rather than square and the notches crooked. Used as an exchange puzzle at IPP-14.|
|97-A||Rectangular Faces. To visualize this design, take design Square Face (#74), and distort it as with Crooked Notches (#97). Two made in 1994.|
|98||Yogi Burr. More complicated and confusing than either Teddy Burr (#96) or Grizzly Burr (#96-A, combining the features of both. Also the most difficult to craft. Several made in 1994.|
|98-A||Slant Six. Similar to Yogi Burr (#98) but more symmetrical and even more confusing. Several made in 1994 of padauk.|
|99||Disinclination. This can be visualized as Seven Woods (#42) that has been distorted by compression along one of its three-fold axes, making the faces rectangular rather than square and changing all the angles, very similar to Crooked Notches (#97). A few made in 1994.|
|100||Concentrix. A variation of Hectix (#25). Experimental model made around 1993 by machining down styrene Hectix pieces. Has the intriguing shape of two concentric first stellations of the rhombic dodecahedron.|
|100-A||Meteor. A variation on the Concentrix (#100). Twelve pieces form an interlocking stellated burr in somewhat the same way as Hexsticks (#25-A), although with a completely different shape. Made only one rough model in 1994, with the intention of making more of this intriguing design sometime.|
|101||Isosceles. A 12-piece burr made with triangular sticks and triangular end blocks, distorted by compression along one of its four-fold axes. A few made in 1994.|
|101-A||Iso-Prism. This is a variation of the Isosceles (#101) in which additional end blocks are used to make the eight end faces solid triangles. Even more confusing to solve. A few made in 1994.|
|102||Incongruous. This is an unusual variation of the familiar six-piece Diagonal Burrin which the sticks have rhombic cross-section and require coordinate motion to assemble. One piece has a third notch. Used as an exchange puzzle at IPP-15.|
|102-A||Redemption. This is a variation of the Incongruous (#102) in which two of the pieces have a third notch, yet it still requires coordinate motion to solve. Rough model made in 1995, but needs some further work.|
|103||Missing Piece! Uses five dowels and five pins, and forms a pentagonal ring. The individual pieces somewhat resemble those of the six-dowel Pin-Hole (#20), but with a piece missing, hence the name. Used as an exchange puzzle at IPP-16.|
|104||Tech Sticks. This is a variation of Hexsticks (#25-A) in which brick-like distortion has been applied to two orthogonal axes, as with Geodynamics (#85-A). Regard it as a hobby exercise in solid geometry and woodworking. Seven made in 1995.|
|104-A||Tech Sticks (four contrasting woods). Two made in 1995.|
|105||Lock Nut. An unusual variation of the six-piece Diagonal Burr, with rectangular cross-section pieces, requiring coordinate motion to assemble. Used as an exchange puzzle at IPP-16.|
|106||Burr Noodle. Has superficial resemblance to the standard six-piece Diagonal Burr but the rhombic cross-section sticks and weird angles make it extremely baffling to assemble. Made in padauk and used as an exchange puzzle at IPP-17.|
|106-A||Reluctance. This was a more non-symmetrical version of the Burr Noodle (#106). The original Burr Noodle (#106) appeared to be the better design of the two, so this one never got beyond the one 1995 experimental model.|
|107||Trillium. A distorted version of the standard six-piece Diagonal Burr. Two kinds of pieces, three of each, which assemble by mating two mirror-image halves. Used as an exchange puzzle at IPP-16.|
|107-A||Augatron. An augmented version of Trillium (#107). Additional end blocks make the six faces solid rectangles. Four made in 1995.|
|108||Nonesuch. A distorted version of Four Corners (#6), compressed along one axis. A couple experimental models were shown around in 1995 for possible use as exchange puzzles, but never used (for good reason, uninspired design).|
|109||Slocum-Pokum. A distorted version of Pin-Hole (#20). Used as an exchange puzzle at IPP-16. Sticks are rhombic cross-section.|
|109-A||Foul Dowel. Same as the Slocum-Pokum (#109) except made with round dowels. One experimental model made in 1995.|
|110||Octo Burr. An unusual 8-piece burr made with square sticks and crooked notches. Some sticks joined in pairs. Used as an exchange puzzle at IPP-17.|
|111||Lost & Found. A six-piece Diagonal Burr with identical pieces goes together in two halves, yet requires coordinate motion to assemble. My original model, dated 1973, was put away and forgotten until rediscovered recently. Five made in 1995.|
|111-A||Lucky Star. Functionally same as the Lost & Found (#111), but additional blocks give it the shape of Vega (#46). Six made in 1995.|
|111-B||Star Dust. Likewise functionally like Lost & Found (#111), but additional blocks give it the shape of the third stellation of the rhombic dodecahedron. Two made in 1995.|
|111-C||A-B-C. Has a superficial resemblance to Star Dust (#111-B), but has three kinds of pieces, two of each. The name is intended to mislead. Four made in 1995-1997.|
|111-D||Unnamed. Like Lost & Found (#111), but two kinds of pieces, three of each. One made in 1995.|
|112||Burr Muda. Has same shape as Triangular Prism (#12), but six identical pieces require coordinate motion and dexterity to assemble. Ten made in 1995.|
|113||Sliparoo (aka Dexterium). Similar to the Burr Muda (#112) except the square ends of the pieces give it a different appearance and make it perhaps even more frustrating to assemble. Used as an exchange puzzle at IPP-17.|
|114||Cluster Plus. Has a superficial resemblance to Cluster Buster (#49), but that is where the similarity ends. Six dissimilar, non-symmetrical pieces, difficult to disassemble and even more baffling to reassemble. Eleven made around 1996, of which five were given out as tokens at IPP-17.|
|115||Fancy This! A 7-piece serially interlocking burr, made in four contrasting fancy woods which, being symmetrically arranged, aid the otherwise very difficult solution. Eight made in 1996.|
|115-A||Fancy This! A more difficult version of the Fancy This! (#115) made in plain wood by Interlocking Puzzles and used as an exchange puzzle at IPP-17.|
|116||Burr Circus. A six-piece Diagonal Burr made with square sticks skewed. Six made in 1995.|
|117||Overdrive. Third (and last) of the "Gear" family of designs, this one involves coordinate motion of all six pieces to assemble. Came with assembly jig. Five made of teak in 1996.|
|118||Three Bunnies. Three dissimilar pieces assemble with coordinate motion to form a triangular three rhombic dodecahedron cluster. Used as an exchange puzzle at IPP-18.|
|119||Cluster's Last Stand. This Six-Piece Burr design bears a superficial resemblance to others in the Cluster Buster (#49) family, but its tricky assembly has baffled experts. About 18 made in 1996-1997.|
|120||Nine-Piece Pentagon. Nine dissimilar pieces fit into a pentagonal tray. Six made of 1/4-inch plywood in 1996. A laser-cut version made by Walter Hoppe was used as an exchange puzzle at IPP-17.|
|121||Pentagonal Star. Thirteen dissimilar pieces fit into a tray having the shape of a pentagonal star. Four made of 1/4-inch plywood in 1996. Some of these have also been laser-cut by Walter Hoppe.|
|122||Rhombic Blocks. Nine pieces representing all possible ways that three rhombuses can be joined together fit into a hexagonal tray. Analysis by computer has shown 14 solutions. Made in nine contrasting fancy woods. Ten made in 1996.|
|123||Abel's Chimney. A solid nearly cubic block is dissected by three diagonal cuts to make eight puzzle pieces which fit snugly inside a nearly cubic box, but alas with a ninth rectangular block left over. The problem is to rearrange the blocks so that the ninth block fits in too, made even more difficult by interchanging pieces between sets so that the grain of the wood is no help. Four made in 1997.|
|124||R-D-16. This is a continuation of the series represented by designs Four-Piece Pyramid (#26) and Octahedral Cluster (#31). Sixteen rhombic dodecahedron blocks are joined together to make four puzzle pieces which assemble into a symmetrical interlocking polyhedral cluster. Four made in 1997.|
|125||Archimedes Tile. Seven pieces made of squares and triangles joined together different ways fit into square tray. One made in 1997. Not very good.|
|126||Stew's Scrap Pile. A hybrid Six-Piece Burr which has characteristics of both the standard square burr and the Diagonal Burr. Used by as an exchange puzzle at IPP-17.|
|127||Make Room. A set of eight rectangular blocks appears to fit snugly into a 7x9x11 box, and the problem is to also fit the left-over ninth block in. One made in 1997.|
|127-A||Make Room (larger variation). In a 9x10x11 box. One made in 1997.|
|128||Combination Lock. This unusual design could be considered a modified version of the Rosebud (#39). Main difference - all pieces are dissimilar and go together with coordinate motion one way only. The assembly jig for Rosebud can also be used for this one. Six made in 1997.|
|129||Dudd. Appears to be an impossible version of the standard Six-Piece Burr, but with some superfluous diagonal notches added. There are several variations, depending upon the number and arrangement of diagonal notches. Six is the minimum. Six made in 1997.|
|129-A||Missing Notches Burr. This particular version of the Dudd (#129), with 10 extra notches, was used as an exchange puzzle at IPP-18.|
|130||Slider. A six-piece Diagonal Burr made with rhombic sticks that requires coordinate motion to assemble. Two mirror-image types of pieces, three of each. Five made in 1997.|
|131||Six of Diamonds. Similar to the Slider (#130) except that all six pieces are dissimilar. Reported to be extremely difficult. Made in padauk and used as an his exchange puzzle at IPP-18.|
|132||Tectonic. A Six-Piece Burr which combines all three techniques used in the #96 and #98 series of skewed burrs to make them confusing - rotation and slant in two different directions Previous designs used only one or two. (Where to go from here?) Used as an exchange puzzle at IPP-18.|
|133||Few Tile. Four simple pieces fit into a rectangular tray. Some puzzle experts have declared it impossible! Used as an exchange puzzle at IPP-18.|
|134||Outhouse. Five blocks fit into a constricted square tray by a series of shifts. A slightly modified version (with different name!) was made in England and used as an exchange puzzle at IPP-19. Either design error or inaccuracy in manufacture allowed easier false solutions which defeated the purpose of the design.|
|135||Unnamed. Seven irregular hexagons fit into a hexagonal tray. This design remains unfinished.|
|136||Tangram Plus. Looks like the familiar 7-piece Tangram but will not fit into the square tray in the usual way. The rhomboid piece is too long! Six made in 1998.|
|136-A||Tangram Plus (alternate version). In this one the rhomboid piece is too fat. One made in 1998. May have been used as an exchange puzzle at IPP-19.|
|137||Engelberg Square. Six polyomino-type pieces made with corner-beveled squares fit onto a square tray. Six made in 1998.|
|138||Piggy Box. A 3-D shifting block packing puzzle. Five types of pieces are made of cubes joined together different ways. Rectangular box has rectangular hole on top for insertion of pieces, with round holes in sides for manipulating them inside. Various problems with different combinations of pieces. Eight made in 1998.|
|139||Unnamed. Nine puzzle pieces made up of 54 triangular tiles joined different ways fit into hexagonal tray. A joint venture with computer help from Nick Baxter and Mike Beeler. So far only rough models made.|
|140||Sticky Sticks. Looks just like Hexsticks (#25-A) when assembled, but eight of the pieces are joined in pairs to make four compound pieces. This greatly increases the difficulty, but use of four contrasting woods arranged symmetrically is big hint. Five made in 1998.|
|141||Isosceles. Ten puzzle pieces made up of isosceles right triangles joined different ways fit into square tray. Two contrasting woods used for artistic effect. Six made in 1998.|
|142||Octahedron. Seven polyomino-type pieces made of squares joined different ways fit onto a squat octahedron tray. A couple rough models made. Design may undergo some further modifications and improvements before becoming final.|
Note. This completes the listing of AP-ART designs through December 1998. I regret that many of these descriptions are lacking in design details and drawings, especially the more recent ones, but the task of providing all of that would be overwhelming. I usually do not work from mechanical drawings, so creating these just for publication hardly warrants the great time and effort that would be required.
I have always encouraged others to copy my designs, either as a hobby or business. Many are now finding their way into the IPP puzzle exchanges. I have attempted to indicate which ones have already been used, but I expect that my notes are incomplete. I like to know when someone uses one of my designs for production, and I would appreciate receiving a few samples in exchange.
Beginning in January 1999, my serial listing of AP-ART designs continues as
before, but with the added by-name Castle Creations. This reflects a
change in location from Lincoln to Andover and also a change in operations from
a woodworking enterprise involving production and sales to a part-time hobby
limited to designing, model making, and publishing. Incidentally, the name castle
derives from the utility structure that I designed and built in our backyard
here in Andover.
|143||Checkout. Twelve checkered pieces made up of isosceles right triangles fit into a square tray. Used as an exchange puzzle at IPP-20.|
|143-A||Checker. Same idea as Checkout (#143), but only nine pieces.|
|144||Windmill. Same idea as Checkout (#143) and Checker (#143-A) but larger and more difficult, 17 dissimilar pieces. Several minor variations are possible using multi-colored pieces to create solutions with symmetrical patterns.|
|145||Lemon. Ten colorful pieces made up of isosceles and equilateral triangles fit into elliptical tray.|
|146||Lime. Similar to Lemon (#145) except 10 pieces made up of isosceles right triangles and 30-60-90 triangles fit into elliptical tray. Used as an exchange puzzle at IPP-19.|
|147||Pineapple. Similar to Lemon (#145) and Lime (#146) but larger and more complicated, with 13 pieces made up of squares and equilateral triangles.|
|148||Fourteen-piece Square. This little novelty was made as a handout for an Elderhostel puzzle workshop in Lenox, MA in April 1999. Six triangular pieces and eight polyomino-types fit into square tray.|
|149||Five-piece Garnet. (with coordinate motion). This and Five-piece Garnet (#150) were experimental variations of the original Garnet (#60). I prefer the original six-piece design.|
|150||Five-piece Garnet. See Five-piece Garnet (#149).|
|151||Two-Tiers with Scorpius Outer Shell. Outer shell is Scorpius (#5), and inner is Garnet (#60). Intriguing and confusing, but hard to make, so only made two.|
|152||Seven-piece Scrambled Scorpius. Several variations found, but none very satisfactory, so call it still unfinished.|
|153||The Trap. Four trapezoidal pieces fit into a nearly square tray.|
|154||Unnamed. This abortive design was to have been similar to Outhouse (#134) but involving coordinate rotation of all four pieces. I have yet to find a design that does not have unwanted solutions, so unfinished.|
|155||Eight-piece Tangram. Looks like a standard Tangram but pieces must be rearranged to accommodate extra triangular piece in slightly oversized tray. Used as an exchange puzzle at IPP-20.|
|156||Sphinx. This could be considered a sequel to Jupiter (#7) and Saturn (#24). Twelve dissimilar pieces fit together one way only, and in essentially one order. Several variations are possible depending upon the arrangement of dissimilar woods. This version, by far the most difficult, uses all one wood.|
|156-A||Sphinx. This version uses 5 dissimilar woods in matched pairs, with the pairs arranged in what I call cubic symmetry. This greatly facilitates the solution.|
|156-B||Sphinx. This version uses 15 dissimilar woods in matched pairs, with the pairs arranged opposite each other. This is the easiest of the three versions.|
|157||Egyptian (4 woods). A multi-color version of Egyptian (#23-A).|
|157-A||Egyptian (3 woods). A multi-color version of Egyptian (#23-A).|
|157-B||Egyptian (2 woods). A multi-color version of Egyptian (#23-A).|
|157-C||Egyptian (6 woods). A multi-color version of Egyptian (#23-A). In all of the #157 Egyptians, the dissimilar woods are arranged symmetrically, which aids the solution.|
|158||Augmented Scorpius (with coordinate motion). A practical design for this intriguing idea has so far not been found, and may not even exist.|
|159||Seven-piece Hexsticks. An improved version of a design first listed as Sticky Sticks (#140), which this one replaces. All but two of the ordinary Hexsticks pieces are joined in pairs. Reported to be very difficult.|
|160||Venus. This is a variation of the old Design Number 72 (#72), which has the assembled shape of a triacontahedron. This particular version uses 10 woods, one for each piece.|
|160-A||Venus (5-woods). Same as Venus (#160)except two pieces of each wood.|
|160-B||Venus (5-woods, matched pairs). Unlike Venus (#160-A), these dissimilar woods are symmetrically arranged, facilitating the solution.|
|160-C||Venus (6-woods). Dissimilar woods arranged in what I call double pinwheel symmetry, slightly easier than the Venus (#160-B).|
|160-D||Venus (1 wood). This would be the most difficult version if one were to be made.|
|161||New Garnet. This is just a new edition of the old No. 60, Garnet, larger and more accurately made.|
|162||Scrambled Legs. Similar in principle to the Scrambled Scorpius (#23), but having the assembled shape of the third stellation of the rhombic dodecahedron. Just one more example, if any is needed, of how the same idea gets recycled over and over. The only one made was used for the logo prize awarded at IPP-20.|
|163||Unnamed. Five rectangular blocks fit into a rectangular tray - this proved to be unsatisfactory and has been shelved.|
|164||Scrambled Scorpius (4 woods). More colorful than the original Scrambled Scorpius (#23) because of the four contrasting fancy woods, and easier because of the color symmetry.|
|164-A||Scrambled Scorpius (6 woods). One wood for each piece, so more colorful than the original Scrambled Scorpius (#23) but just as difficult.|
|164-B||Scrambled Scorpius (6 woods). In this 6-wood version the woods are arranged symmetrically with no like colors touching, so somewhat easier than the Scrambled Scorpius (#164-A)|
|165||Split Star (simplified version). This modified version of the Split Star (#75) is easier to make than the original and also stronger because the inner and outer blocks are joined by full faces rather than half faces. This construction lends itself to sculptural recreations by selectively removing some outer blocks, as in the Diminished Split Star variations.|
|165-A||Diminished Split Star (hexagonal column).|
|165-B||Diminished Split Star (square column).|
|165-C||Diminished Split Star (octahedral).|
|165-D||Diminished Split Star (triangular).|
|165-E||Diminished Split Star (six-pointed star).|
|166||Shouldered Scorpius, simple version. Resembles the old Scorpius (#5), but the added shoulders restrict movement to one axis.|
|166-A||Shouldered Scorpius, three plus three version. All six pieces identical but non-symmetrical. Tricky solution requires coordinate motion.|
|166-B||Shouldered Scorpius, symmetrical version. All six pieces identical and symmetrical. Solution requires coordinate motion.|
|167||Four Pieces In A Tray. Four simple pieces, two trapezoidal and two triangular, fit onto a rectangular tray. Laser cut by Walter Hoppe and used as an exchange puzzle for IPP-20.|
|169-A||Four Sleezy Pieces. Four polyominoes fit into a tray. Laser cut by Walter Hoppe and used as an exchange puzzle for IPP-21.|
Puzzle World Home] [Introduction] [Part 1] [Part 2] [Part 3] [Puzzle Index] [Color Plates]
|Puzzle World ©1997-2012 by John Rausch
For questions or comments regarding this site, contact the chief metagrobologist: