By Stewart T. Coffin

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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: |