| ©1990-2012 by Stewart T. Coffin For questions or comments regarding this site, contact the chief metagrobologist:  |
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| Figure | Chapter | Description |
|---|---|---|
| 1 | Introduction | Blocks and Pins - Introductory graphic |
| 2 | Introduction | Burrs |
| 3 | Introduction | The Platonic Solids |
| 4 | Introduction | Wood puzzle from Johnson Smith & Co. 1930s Catalog |
| 5 | 1 | Spherical jigsaw puzzle |
| 6a | 1 | Tangram puzzle from Richter and Co. |
| 6b | 1 | Tangram candy dishes from 1860s China |
| 7 | 1 | Tangram design grid |
| 8 | 1 | Tangram design possibilities |
| 9 | 1 | Tangram sample patterns |
| 10 | 1 | Tangram convex patterns |
| 11 | 1 | Tangram puzzling pairs |
| 12 | 1 | Dissection grids |
| 13 | 1 | Tangram with large triangles omitted |
| 14 | 1 | Other Richter and Co. rectangular puzzle patterns |
| 15 | 1 | Other Richter and Co. polygonal puzzle patterns |
| 16 | 1 | Other Richter and Co. puzzle patterns with complicated angles |
| 17 | 1 | Loculus of Archimedes |
| 18 | 1 | Allan Boardman's miniature Tangram set |
| 19 | 1 | Sam Loyd's square dissection puzzle |
| 20 | 1 | Sam Loyd's square dissection puzzle - Patterns possible with modified piece |
| 21 | 1 | Henry Dudeney's four-piece dissection |
| 22 | 1 | Typical 12-piece checkerboard dissection |
| 23 | 2 | Possible ways to tile the plane |
| 24 | 2 | Ways to join triangles through size-six |
| 25 | 2 | Patterns for assembling pieces from Fig. 24 |
| 26 | 2 | Ways to join two-block rhombuses |
| 27 | 2 | Possible patterns for pieces from Fig. 26 |
| 28 | 2 | Ways to join squares through size-six (polyominoes) |
| 29 | 2 | Showing how a 4 x 5 rectangle cannot be assembled from size-four polyominoes |
| 30 | 2 | Size-four polyominoes with checkering |
| 31 | 2 | Pentomino pieces |
| 32 | 2 | Pentominoes solutions for 3 x 20, 4 x 15, 5 x 12 and 6 x 10 |
| 33 | 2 | Pentominoes by Wayne Daniel |
| 34 | 2 | Pentominoes analysis technique |
| 35 | 2 | Checkerboard puzzle pieces from Canterbury Puzzles |
| 36 | 2 | Checkerboard puzzle |
| 37 | 2 | Cornucopia Puzzle pieces |
| 37a | 2 | Cornucopia Puzzle by Stewart Coffin |
| 38 | 2 | Cornucopia Puzzle 8 x 8 fourfold symmetry patterns |
| 39 | 2 | Cornucopia Puzzle 3 x 20 impossibility proof |
| 40 | 2 | Cornucopia Puzzle pieces |
| 41 | 2 | Two Cornucopia Puzzle patterns |
| 42 | 2 | One "obscene" Cornucopia Puzzle pattern |
| 43a | 2 | Symmetry illustration 1 |
| 43b | 2 | Symmetry illustration 2 |
| 43c | 2 | Symmetry illustration 3 |
| 44 | 2 | Ways to join hexagons through size-four (hexominoes) |
| 45 | 2 | Hexagonal cluster patterns |
| 46a | 2 | Snowflake Puzzle - Hexagon solution |
| 46b | 2 | Snowflake Puzzle - Snowflake solution |
| 46c | 2 | Snowflake Puzzle by Stewart Coffin |
| 47 | 2 | Snowflake Puzzle patterns |
| 48 | 3 | Diabolical Cube pieces |
| 49 | 3 | Mikusinski's Cube pieces |
| 50a | 3 | Soma Cube pieces |
| 50b | 3 | Soma Cube by Trevor Wood |
| 51 | 3 | Four-piece, serially-interlocking 3 x 3 x 3 cube |
| 52 | 3 | Ways to join four or five cubes |
| 53 | 3 | Half Hour Puzzle pieces |
| 54 | 3 | Other patterns from Half Hour Puzzle pieces |
| 55 | 3 | One example of five-piece 3 x 3 x 3 cube with all non-symmetrical pieces |
| 56 | 3 | Solid Pentomino Puzzle pieces |
| 57 | 3 | Solid Pentominoes by Trevor Wood |
| 58 | 3 | Pentacube pieces |
| 59 | 3 | Checkered Pentacube 5 x 5 x 2 |
| 60 | 3 | Joined 1 x 2 x 2 block pieces |
| 61a | 4 | Convolution Puzzle pieces |
| 61b | 4 | Convolution Puzzle by Stewart Coffin |
| 61c | 4 | Convolution Puzzle by Wayne Daniel |
| 62 | 4 | Three-Piece Block Puzzle pieces |
| 63 | 5 | Interlocking box |
| 64 | 5 | Six-Piece Burr |
| 65 | 5 | Six-Piece Burr piece showing 12 cubic units that are possible to remove |
| 66 | 5 | Six-Piece Burr illustration of notchable and unnotchable pieces |
| 67 | 5 | Six-Piece Burr notchable pieces |
| 68 | 5 | Burr No. 305 |
| 69 | 5 | Burr No. 306 |
| 70 | 5 | Bill's Baffling Burr |
| 71 | 5 | Peter Marineau's level-nine burr |
| 72 | 6 | Illustration of homogeneity or congruence for burrs |
| 73 | 6 | Twelve-Piece and Three-Piece Burr |
| 74 | 6 | Twelve-Piece and Eighteen-Piece Burrs |
| 75a | 6 | Altekruse Burr and piece |
| 75b | 6 | Altekruse Burr by Tom Lensch |
| 76 | 6 | Altekruse Burr piece variations |
| 77 | 6 | Altekruse Burr unusual variation |
| 78 | 6 | Altekruse Burr variations with 24, 36 or 38 pieces |
| 79 | 6 | Altekruse Burr variation with pins and holes |
| 80 | 6 | Pin-Hole Puzzle and pieces |
| 81 | 6 | Pin-Hole Puzzle variations |
| 82a | 6 | Corner Block Puzzle |
| 82b | 6 | Corner Block Puzzle pieces |
| 83 | 6 | Twenty-Four Piece Burr |
| 84 | 6 | Twenty-Four Piece Burr - Other assemblies |
| 85 | 7 | Diagonal Burr pieces |
| 86 | 7 | Diagonal Burr mirror-image halves |
| 87 | 7 | Diagonal Burr with more than 100 pieces |
| 88 | 7 | Diagonal Burr with beveled pieces (Diagonal Star) |
| 89 | 7 | Diagonal Star piece components |
| 90 | 7 | Jig for making six-sided center blocks |
| 91 | 8 | Solids that fill the center of symmetrical stick arrangements |
| 92a | 8 | Rhombic dodecahedron as a beveled cube |
| 92b | 8 | Symmetry of rhombic dodecahedron |
| 93 | 8 | Cluster of 12 triangular sticks |
| 94 | 8 | Pin-Hole Puzzle - Theory of interlock illustration |
| 95 | 8 | Six-Piece Burr - Theory of interlock illustration |
| 96 | 8 | Diagonal Star - Theory of interlock illustration |
| 97 | 8 | One way to make the cluster of 12 triangular sticks interlocking |
| 98 | 8 | Third Stellation from the cluster of 12 triangular sticks |
| 99 | 8 | First Stellation from the second stellation from the cluster of 12 triangular sticks |
| 100 | 8 | The Second Stellation Puzzle foundation and piece |
| 101 | 8 | The Second Stellation Puzzle and piece |
| 102 | 8 | Four Corners Puzzle and piece |
| 103 | 8 | Four Corners Puzzle with color symmetry |
| 104 | 8 | Four Corners Puzzle with color symmetry assemblies |
| 105 | 8 | The Second Stellation Puzzle with color symmetry |
| 106 | 8 | The Second Stellation Puzzle with color symmetry assemblies |
| 107a | 8 | The Third Stellation Puzzle with color symmetry |
| 107b | 8 | The Third Stellation Puzzle with color symmetry - One assembly |
| 108 | 9 | The Permutated Second Stellation Puzzle and pieces |
| 109 | 9 | The Permutated Third Stellation Puzzle and pieces |
| 110 | 9 | The Broken Sticks Puzzle and pieces |
| 111 | 9 | The Augmented Second Stellation Puzzle and pieces |
| 112 | 9 | Puzzle building blocks |
| 113 | 9 | Rhombic dodecahedron dissection |
| 114 | 9 | Augmented Four Corners Puzzle and pieces |
| 115 | 9 | Diagonal Cube Puzzle and pieces |
| 116 | 9 | The Reluctant Cluster Puzzle and pieces |
| 117 | 10 |
The Hexagonal Prism Puzzle and pieces |
| 118 | 10 |
The Triangular Prism Puzzle and pieces |
| 119 | 10 | The Star Prism Puzzle (The General) |
| 120 | 10 | Other possible extensions to the prism family |
| 121 | 10 | The Square Prism Puzzle and piece |
| 122 | 10 | The Three Pairs Puzzle and pieces |
| 123a | 11 | The Star of David Puzzle pieces and assembly patterns |
| 123b | 11 | The Star of David Puzzle |
| 124a | 11 | A Puzzle In Reverse (Triumph) - Assembly 1 |
| 124b | 11 | A Puzzle In Reverse (Triumph) - Assembly 2 |
| 124c | 11 | A Puzzle In Reverse (Triumph) - Assembly 3 |
| 125 | 12 | Coordinate motion illustration |
| 126 | 12 | The Expanding Box Puzzle |
| 127a | 12 | The Rosebud Puzzle pieces |
| 127b | 12 | The Rosebud Puzzle assembled |
| 127c | 12 | The Rosebud Puzzle assembled and expanded into a "bloom" |
| 128 | 13 | Cluster of 12 pinned hexagonal sticks (Locked Nest) |
| 129 | 13 | Cluster of 12 pinned hexagonal sticks (Locked Nest) pieces |
| 130a | 13 | Cluster of 12 pinned hexagonal sticks (Locked Nest) extended |
| 130b | 13 | Cluster of 12 pinned hexagonal sticks (Locked Nest) sub-unit |
| 131 | 13 | Pinned hexagonal sticks - Piece suggestions |
| 132 | 13 | The Cuckoo Nest Puzzle |
| 133a | 13 | Triple Decker Puzzle (Nine Bars) |
| 133b | 13 | Triple Decker Puzzle (Nine Bars) pieces |
| 134 | 13 | A Holey Hex Hybrid |
| 135a | 13 | Hectix |
| 135b | 13 | Hectix pieces |
| 136 | 13 | Notched Rhombic Sticks |
| 137 | 14 | Scorpius Puzzle |
| 138 | 14 | Scorpius Puzzle - Four-color assemblies |
| 139 | 14 | The Dislocated Scorpius Puzzle piece |
| 140a | 14 | The Scrambled Scorpius Puzzle pieces |
| 140b | 14 | The Scrambled Scorpius Puzzle |
| 141 | 15 | Dissected Rhombic Dodecahedra (Garnet Puzzle) and pieces |
| 142 | 15 | Jig for making Dissected Rhombic Dodecahedra pieces |
| 143 | 15 | Dissected Rhombic Dodecahedra (Garnet Puzzle) modified into other shapes |
| 144a | 15 | Dissected Rhombic Dodecahedra (Split Star Puzzle) pieces |
| 144b | 15 | Dissected Rhombic Dodecahedra (Split Star Puzzle) |
| 145 | 15 | The Pennyhedron Puzzle |
| 146 | 15 | The Pennyhedron Puzzle - Modifications |
| 147 | 15 | The Pennyhedron Puzzle - Modifications |
| 148 | 16 | The Pseudo-Notched Sticks Puzzle |
| 149 | 16 | The Square Face Puzzle |
| 150 | 16 | The Queer Gear and pieces |
| 151 | 17 | Thirty-faced triacontahedron |
| 152 | 17 | Thirty Pentagonal Sticks and Dowels |
| 153 | 17 | Pentagonal sticks - Cutting and drilling illustrations |
| 154 | 17 | Pentagonal Sub-Units |
| 155 | 17 | Notched Pentagonal Sticks |
| 156a | 17 |
Notched Rhombic Sticks piece |
| 156b | 17 |
Notched Rhombic Sticks |
| 156c | 17 | Square-Rod Dodecaplex |
| 157 | 17 | The Jupiter Puzzle and piece |
| 158 | 17 | The Jupiter Puzzle showing color symmetry |
| 159 | 17 | The Dislocated Jupiter Puzzle piece only |
| 160 | 17 | A Scrambled Jupiter (compromise) pieces |
| 161 | 17 | The Jupiter Puzzle family - Piece specifications |
| 162 | 17 | The Dissected Triacontahedron |
| 163 | 17 | The Dissected Triacontahedron - Piece specifications |
| 164 | 18 | Truncated octahedra - Making from cubes |
| 165 | 18 | Ways to join truncated octahedra |
| 166 | 18 | The Setting Hen Puzzle |
| 167 | 18 | Ways to join rhombic dodecahedra through size-four |
| 168 | 18 | Rhombic dodecahedra patterns with isometric symmetry |
| 169 | 18 | The Leftover Block Puzzle pieces |
| 170 | 18 | Substitution of spheres in the rhombic dodecahedra pieces |
| 171 | 18 | The Four-Piece Pyramid Puzzle |
| 172 | 18 | The Octahedral Cluster Puzzle |
| 173a | 19 | Abstraction and reality illustration 1 |
| 173b | 19 | Abstraction and reality illustration 2 |
| 174 | 20 | The Two Tiers Puzzle |
| 175 | 21 | The Six-Part Invention pieces |
| 176a | 21 | The Six-Part Invention (The Peanut Puzzle) patterns |
| 176b | 21 | The Six-Part Invention (The Peanut Puzzle) |
| 177 | 21 | The Six-Part Invention (The Peanut Puzzle) additional patterns |
| 178 | 21 | The Eight-Piece Cube Puzzle (Pieces of Eight) pieces |
| 179a | 21 | The Eight-Piece Cube Puzzle (Pieces of Eight) patterns |
| 179b | 21 | The Eight-Piece Cube Puzzle (Pieces of Eight) |
| 180 | 21 | The Six-Part Invention pieces with 3 prongs |
| 181 | 21 | The Eight-Piece Cube Puzzle (Pieces of Eight) truncated pieces |
| 182 | 21 | Triple Cross Puzzle and piece |
| 183 | 21 | The Eight-Piece Cube Puzzle (Pieces of Eight) other piece variation |
| 184 | 21 | The Pillars of Hercules pieces from cubes |
| 185 | 21 | The Pillars of Hercules pieces from rhombic dodecahedra |
| 186 | 22 | Blocks and Pins example |
| 187 | 22 | Blocks and Pins from edge-beveled cubes and additional holes |
| 188 | 22 | Blocks and Pins from truncated cubes and additional holes |
| 189 | 22 | Blocks and Pins from rhombicuboctahedron blocks |
| 190 | 22 | Blocks and Pins - Pieces from edge-beveled cubes with only 12 holes |
| 191 | 22 | Pin-Hole Puzzle variation |
| 192 | 22 | Cubes with three mutually perpendicular non-intersecting holes |
| 193 | 22 | Cubes with three mutually perpendicular non-intersecting holes - Assembly |
| 194 | 22 | Cubes (2 x 2 x 2) with three non-intersecting holes with isometric symmetry |
| 195 | 22 | Dissection of Fig. 194 |
| 196 | 22 | Assemblies from cubes in Fig. 194 |
| 197 | 22 | Squat octahedra substituted for cubes in Fig. 194 |
| 198 | 22 | Illustration of similarity between Fig. 128 and Fig. 197 |
| 199 | 22 | Dissection of stellated rhombic dodecahedron with dowels |
| 200 | 22 | Individual piece from Fig. 199 with dowel fastened into place |
| 201 | 22 | The Lollipop Puzzle - Piece from Fig. 200 assembled into a tetrahedral pile |
| 202 | 22 | Triangular assembly of 3 pieces from Fig. 200. |
| 203 | 22 | Octahedral cluster assembly from six blocks |
| 204 | 22 | Showing the dowel diameter limit |
| 205 | 22 | Exceeding the limitation shown in Fig. 204 by milling the dowels |
| 206 | 23 | Jig for sawing square sticks |
| 207 | 23 | Jig for sawing rhombic dodecahedral blocks |
| 208 | 23 | Jig for sawing truncated octahedra |
| 209 | 23 | Jig for notching burr pieces |
| 210 | 23 | Jig for sawing equilateral-triangular sticks |
| 211 | 23 | Jigs for gluing First, Second and Third Stellation Puzzles |
| 212 | 23 | Gluing the Jupiter Puzzle |
| 213 | Finale | Closing graphic |
| Table | Chapter | |
|---|---|---|
| 1 | 2 | Polyiamond Piece Summary |
| 2 | 2 | Polyomino Piece Summary |
| 3 | 2 | Cornucopia Solution Summary |
| 4 | 2 | Hexagonal Piece Summary |
| 5 | 17 | Dissected Triacontahedron Piece Summary |
| ©1990-2012 by Stewart T. Coffin For questions or comments regarding this site, contact the chief metagrobologist: |