Polyhedra in OpenSCAD

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group : dmccooey   Count = 447


Name Groups #vertices #faces face orders #edges Conway
10-Truncated Triakis Icosahedron (canonical)  dmccooeyTruncated Catalan 140 72 60 of 5,12 of 10 210 t10kI
132-pentagon Polyhedron  dmccooeyDerived 200 132 132 of 5 330
4-5-Truncated Deltoidal Hexecontahedron  dmccooeyTruncated Catalan 200 102 30 of 4,12 of 5,60 of 7 300
4-Truncated Deltoidal Icositetrahedron (canonical)  dmccooeyTruncated Catalan 80 42 18 of 4,24 of 7 120 t4oO
6-Truncated Joined Truncated Tetrahedron (canonical)  dmccooeyDerived 40 22 12 of 5,10 of 6 60 t6jtT
6-Truncated Pentakis Dodecahedron (canonical)  dmccooeyTruncated Catalan 132 80 60 of 5,20 of 6 210 t6kD
6-Truncated Tetrakis Hexahedron (canonical)  dmccooeyTruncated Catalan 54 32 24 of 5,8 of 6 84 t6kC
6-Truncated Triakis Tetrahedron (canonical)  dmccooeyTruncated Catalan 28 16 12 of 5,4 of 6 42 t6kT
8-Truncated Triakis Octahedron (canonical)  dmccooeyTruncated Catalan 56 30 24 of 5,6 of 8 84 t8kO
Anti-Heptagonal Iris Toroid  dmccooeyRegular Triangular Toroidalconcave 14 28 28 of 3 40
Anti-Hexagonal Iris Toroid  dmccooeyRegular Triangular Toroidalconcave 12 24 24 of 3 34
Anti-Octagonal Iris Toroid #1  dmccooeyRegular Triangular Toroidalconcave 16 32 32 of 3 46
Anti-Octagonal Iris Toroid #2  dmccooeyRegular Triangular Toroidalconcave 16 32 32 of 3 46
Associahedron (canonical)  dmccooeyOther 14 9 3 of 4,6 of 5 21
Biscribed Disdyakis Dodecahedron  dmccooeyBiscribed Non-Chiral 26 48 48 of 3 72
Biscribed Disdyakis Triacontahedron  dmccooeyBiscribed Non-Chiral 62 120 120 of 3 180
Biscribed Dual Snub Truncated Icosahedron  dmccooeyBiscribed Chiral 272 180 180 of 5 450
Biscribed Dual Snub Truncated Octahedron  dmccooeyBiscribed Chiral 110 72 72 of 5 180
Biscribed Hexpropello Cube (dextro)  dmccooeyBiscribed Chiral 56 30 6 of 4,24 of 6 84
Biscribed Hexpropello Dodecahedron (dextro)  dmccooeyBiscribed Chiral 140 72 12 of 5,60 of 6 210
Biscribed L-Propello L-Snub Cube  dmccooeyBiscribed Chiral 144 158 32 of 3,126 of 4 300
Biscribed L-Propello R-pentagonal Icositetrahedron  dmccooeyBiscribed Chiral 158 144 120 of 4,24 of 5 300
Biscribed Orthokis Propello Cube  dmccooeyBiscribed Chiral 38 48 24 of 3,24 of 4 84
Biscribed Orthokis Propello Dodecahedron  dmccooeyBiscribed Chiral 92 120 60 of 3,60 of 4 210
Biscribed Orthotruncated Propello Icosahedron  dmccooeyBiscribed Chiral 120 92 20 of 3,72 of 5 210
Biscribed Orthotruncated Propello Octahedron  dmccooeyBiscribed Chiral 48 38 8 of 3,6 of 4,24 of 5 84
Biscribed pentagonal Hexecontahedron (dextro)  dmccooeyBiscribed Chiral 92 60 60 of 5 150
Biscribed pentagonal Icositetrahedron (dextro)  dmccooeyBiscribed Chiral 38 24 24 of 5 60
Biscribed Pentakis Dodecahedron  dmccooeyBiscribed Non-Chiral 32 60 60 of 3 90
Biscribed Pentakis Snub Dodecahedron (laevo)  dmccooeyBiscribed Chiral 72 140 140 of 3 210
Biscribed Propello Cube  dmccooeyBiscribed Chiral 32 30 30 of 4 60
Biscribed Propello Disdyakis Dodecahedron  dmccooeyBiscribed Chiral 170 192 48 of 3,144 of 4 360
Biscribed Propello Disdyakis Triacontahedron  dmccooeyBiscribed Chiral 422 480 120 of 3,360 of 4 900
Biscribed Propello Dodecahedron  dmccooeyBiscribed Chiral 80 72 60 of 4,12 of 5 150
Biscribed Propello Icosahedron  dmccooeyBiscribed Chiral 72 80 20 of 3,60 of 4 150
Biscribed Propello Octahedron  dmccooeyBiscribed Chiral 30 32 8 of 3,24 of 4 60
Biscribed Propello Pentakis Dodecahedron  dmccooeyBiscribed Chiral 212 240 60 of 3,180 of 4 450
Biscribed Propello Tetrahedron  dmccooeyBiscribed Chiral 16 16 4 of 3,12 of 4 30
Biscribed Propello Tetrakis Hexahedron  dmccooeyBiscribed Chiral 86 96 24 of 3,72 of 4 180
Biscribed Propello Truncated Cuboctahedron  dmccooeyBiscribed Chiral 192 170 156 of 4,8 of 6,6 of 8 360
Biscribed Propello Truncated Icosahedron  dmccooeyBiscribed Chiral 240 212 180 of 4,12 of 5,20 of 6 450
Biscribed Propello Truncated Icosidodecahedron  dmccooeyBiscribed Chiral 480 422 390 of 4,20 of 6,12 of 10 900
Biscribed Propello Truncated Octahedron  dmccooeyBiscribed Chiral 96 86 78 of 4,8 of 6 180
Biscribed Snub Cube (laevo)  dmccooeyBiscribed Chiral 24 38 32 of 3,6 of 4 60
Biscribed Snub Dodecahedron (laevo)  dmccooeyBiscribed Chiral 60 92 80 of 3,12 of 5 150
Biscribed Snub Truncated Icosahedron  dmccooeyBiscribed Chiral 180 272 240 of 3,12 of 5,20 of 6 450
Biscribed Snub Truncated Octahedron  dmccooeyBiscribed Chiral 72 110 96 of 3,6 of 4,8 of 6 180
Biscribed Tetrakis Hexahedron  dmccooeyBiscribed Non-Chiral 14 24 24 of 3 36
Biscribed Tetrakis Snub Cube (laevo)  dmccooeyBiscribed Chiral 30 56 56 of 3 84
Biscribed Truncated Cuboctahedron  dmccooeyBiscribed Non-Chiral 48 26 12 of 4,8 of 6,6 of 8 72
Biscribed Truncated Icosahedron  dmccooeyBiscribed Non-Chiral 60 32 12 of 5,20 of 6 90
Biscribed Truncated Icosidodecahedron  dmccooeyBiscribed Non-Chiral 120 62 30 of 4,20 of 6,12 of 10 180
Biscribed Truncated Octahedron  dmccooeyBiscribed Non-Chiral 24 14 6 of 4,8 of 6 36
Borromean Rings  dmccooeyRegular Tetragonal Toroidalconcave 36 36 36 of 4 70
Cairo-Tiling Toroid with 16 faces (type A) (8 faces overarching)  dmccooeyNon-Regular Toroidalconcave 24 16 16 of 5 38
Cairo-Tiling Toroid with 16 faces (type B) (square form)  dmccooeyNon-Regular Toroidalconcave 24 16 16 of 5 38
Cairo-Tiling Toroid with 16 faces (type C) (boomerang form)  dmccooeyNon-Regular Toroidalconcave 24 16 16 of 5 38
Cairo-Tiling Toroid with 8 overarching faces (version 1)  dmccooeyNon-Regular Toroidalconcave 12 8 8 of 5 18
Canonical Joined Truncated Icosahedron  dmccooeyOther 92 90 90 of 4 180 jtI
Chamfered Cube (all edges equal)  dmccooeyChamfered 32 18 6 of 4,12 of 6 48 cC
Chamfered Dodecahedron (all edges equal)  dmccooeyChamfered 80 42 12 of 5,30 of 6 120 cD
Chamfered Icosahedron (all edges equal)  dmccooeyChamfered 72 50 20 of 3,30 of 6 120 cI
Chamfered Octahedron (all edges equal)  dmccooeyChamfered 30 20 8 of 3,12 of 6 48 cO
Chamfered Tetrahedron (all edges equal)  dmccooeyChamfered 16 10 4 of 3,6 of 6 24 cT
Chamfered Truncated Icosahedron (canonical)  Goldberg(2,2) dmccooeyChamferedGoldberg 240 122 12 of 5,110 of 6 360 ctI
Concave Dodecahedron  dmccooeyconcaveOther 20 12 12 of 5 30
Császár Polyhedron (version 4)  dmccooeyRegular Triangular Toroidalconcave 7 14 14 of 3 19
Cube  Hexahedron dmccooeyPlatonicisohedronSpace-filling 8 6 6 of 4 12 C, jY3
Cube-Octahedron Compound  dmccooeyconcaveOther 14 14 8 of 3,6 of 4 26 y0.57C
Cube-Octahedron Toroid  dmccooeyNon-Regular Toroidalconcave 12 12 6 of 3,6 of 5 22
Cubitruncated Cuboctahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 48 20 8 of 6,12 of 8 66
Cuboctahedron  dmccooeyArchimedean 12 14 8 of 3,6 of 4 24 aC
Cubohemioctahedron  dmccooeyVersi-Regularconcave 12 10 6 of 4,4 of 6 20 k(h=-0.65,fn=[3])aC
Deltoidal Hexecontahedron  dmccooeyCatalanisohedron 62 60 60 of 4 120 oD
Deltoidal Icositetrahedron  dmccooeyCatalanisohedron 26 24 24 of 4 48 oO
Disdyakis Dodecahedron  Hexakis Octahedron dmccooeyCatalanisohedron 26 48 48 of 3 72 mC, mO
Disdyakis Triacontahedron  Hexakis Icosahedron dmccooeyCatalanisohedron 62 120 120 of 3 180 mD
Ditrigonal Dodecadodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 24 24 of 5 42
Dodecadodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 30 24 24 of 5 52
Dodecahedron  Goldberg(0,1) dmccooeyGoldbergPlatonicisohedron 20 12 12 of 5 30 D, gY3
Dodecahedron-Icosahedron Compound  dmccooeyconcaveOther 32 32 20 of 3,12 of 5 62 y0.3D
Dual Geodesic Icosahedron Pattern 1 [1,1]  Truncated Icosahedron, Goldberg(1,1) dmccooeyDual Geodesic IcosahedraGoldberg 60 32 12 of 5,20 of 6 90 tI, dkD
Dual Geodesic Icosahedron Pattern 10 [5,0]  Goldberg(5,0) dmccooeyDual Geodesic IcosahedraGoldberg 500 252 12 of 5,240 of 6 750
Dual Geodesic Icosahedron Pattern 11 [3,3]  Goldberg(3,3) dmccooeyDual Geodesic IcosahedraGoldberg 540 272 12 of 5,260 of 6 810 tktI
Dual Geodesic Icosahedron Pattern 12 [4,2]  Goldberg(4,2) dmccooeyDual Geodesic IcosahedraGoldberg 560 282 12 of 5,270 of 6 840 wcD
Dual Geodesic Icosahedron Pattern 13 [5,1]  Goldberg(5,1) dmccooeyDual Geodesic IcosahedraGoldberg 620 312 12 of 5,300 of 6 930
Dual Geodesic Icosahedron Pattern 14 [6,0]  Goldberg(6,0) dmccooeyDual Geodesic IcosahedraGoldberg 720 362 12 of 5,350 of 6 1080 ctkD, cdktI, tkt5daD
Dual Geodesic Icosahedron Pattern 15 [4,3]  Goldberg(4,3) dmccooeyDual Geodesic IcosahedraGoldberg 740 372 12 of 5,360 of 6 1110
Dual Geodesic Icosahedron Pattern 16 [5,2]  Goldberg(5,2) dmccooeyDual Geodesic IcosahedraGoldberg 780 392 12 of 5,380 of 6 1170
Dual Geodesic Icosahedron Pattern 17 [6,1]  Goldberg(6,1) dmccooeyDual Geodesic IcosahedraGoldberg 860 432 12 of 5,420 of 6 1290
Dual Geodesic Icosahedron Pattern 18 [4,4]  Goldberg(4,4) dmccooeyDual Geodesic IcosahedraGoldberg 960 482 12 of 5,470 of 6 1440 dkt5dadkt5daD, cctI
Dual Geodesic Icosahedron Pattern 19 [7,0]  Goldberg(7,0) dmccooeyDual Geodesic IcosahedraGoldberg 980 492 12 of 5,480 of 6 1470
Dual Geodesic Icosahedron Pattern 2 [2,0]  Chamfered Dodecahedron, Goldberg(2,0) dmccooeyDual Geodesic IcosahedraGoldberg 80 42 12 of 5,30 of 6 120 cD
Dual Geodesic Icosahedron Pattern 20 [5,3]  Goldberg(5,3) dmccooeyDual Geodesic IcosahedraGoldberg 980 492 12 of 5,480 of 6 1470 wwD
Dual Geodesic Icosahedron Pattern 21 [6,2]  Goldberg(6,2) dmccooeyDual Geodesic IcosahedraGoldberg 1040 522 12 of 5,510 of 6 1560
Dual Geodesic Icosahedron Pattern 22 [7,1]  Goldberg(7,1) dmccooeyDual Geodesic IcosahedraGoldberg 1140 572 12 of 5,560 of 6 1710
Dual Geodesic Icosahedron Pattern 23 [5,4]  Goldberg(5,4) dmccooeyDual Geodesic IcosahedraGoldberg 1220 612 12 of 5,600 of 6 1830
Dual Geodesic Icosahedron Pattern 24 [6,3]  Goldberg(6,3) dmccooeyDual Geodesic IcosahedraGoldberg 1260 632 12 of 5,620 of 6 1890
Dual Geodesic Icosahedron Pattern 25 [8,0]  Goldberg(8,0) dmccooeyDual Geodesic IcosahedraGoldberg 1280 642 12 of 5,630 of 6 1920 cccD
Dual Geodesic Icosahedron Pattern 3 [2,1]  Hexpropello Dodecahedron, Goldberg(2,1) dmccooeyDual Geodesic IcosahedraGoldberg 140 72 12 of 5,60 of 6 210 wD, dk5sD, t5gD
Dual Geodesic Icosahedron Pattern 4 [3,0]  Truncated Pentakis Dodecahedron, Goldberg(3,0) dmccooeyDual Geodesic IcosahedraGoldberg 180 92 12 of 5,80 of 6 270 tkD, dktI, tdtI
Dual Geodesic Icosahedron Pattern 5 [2,2]  Truncated Pentakis Icosidodecahedron, Goldberg(2,2) dmccooeyDual Geodesic IcosahedraGoldberg 240 122 12 of 5,110 of 6 360 ctI, dkt5daD
Dual Geodesic Icosahedron Pattern 6 [3,1]  Goldberg(3,1) dmccooeyDual Geodesic IcosahedraGoldberg 260 132 12 of 5,120 of 6 390
Dual Geodesic Icosahedron Pattern 7 [4,0]  Goldberg(4,0) dmccooeyDual Geodesic IcosahedraGoldberg 320 162 12 of 5,150 of 6 480 ccD
Dual Geodesic Icosahedron Pattern 8 [3,2]  Goldberg(3,2) dmccooeyDual Geodesic IcosahedraGoldberg 380 192 12 of 5,180 of 6 570
Dual Geodesic Icosahedron Pattern 9 [4,1]  Goldberg(4,1) dmccooeyDual Geodesic IcosahedraGoldberg 420 212 12 of 5,200 of 6 630 tk5sD
Dual Snub Hexpropello Dodecahedron (canonical)  dmccooeyDerived 632 420 420 of 5 1050 dswD
Dual Snub Truncated Icosahedron (canonical)  dmccooeyDerived 272 180 180 of 5 450 dstI
Dual Snub Truncated Octahedron (canonical)  dmccooeyDerived 110 72 72 of 5 180 dstO
Dürer's Solid  dmccooeyOther 12 8 2 of 3,6 of 5 18
Elongated Square Gyrobicupola  dmccooeyOther 24 26 8 of 3,18 of 4 48
Escher's Solid  dmccooeyconcaveOther 26 48 48 of 3 72 k(h=0.76)KjC
Expanded Joined Hexpropello Dodecahedron (canonical)  dmccooeyDerived 840 842 140 of 3,630 of 4,12 of 5,60 of 6 1680 ejwD
Expanded Joined Truncated Pentakis Dodecahedron (canonical)  dmccooeyDerived 1080 1082 180 of 3,810 of 4,12 of 5,80 of 6 2160 ejtkD
Expanded Propello Truncated Icosahedron (canonical)  dmccooeyDerived 900 902 60 of 3,810 of 4,12 of 5,20 of 6 1800 eptI
Geodesic Cube Pattern 1 [1,1]  Rhombic Dodecahedron dmccooeyGeodesic CubesSpace-filling 14 12 12 of 4 24 jC
Geodesic Cube Pattern 10 [3,3]  dmccooeyGeodesic Cubes 110 108 108 of 4 216
Geodesic Cube Pattern 11 [4,2]  dmccooeyGeodesic Cubes 122 120 120 of 4 240 oKpC
Geodesic Cube Pattern 12 [5,0]  dmccooeyGeodesic Cubes 152 150 150 of 4 300 pKpC
Geodesic Cube Pattern 13 [4,3]  dmccooeyGeodesic Cubes 152 150 150 of 4 300
Geodesic Cube Pattern 14 [5,1]  dmccooeyGeodesic Cubes 158 156 156 of 4 312
Geodesic Cube Pattern 15 [5,2]  dmccooeyGeodesic Cubes 176 174 174 of 4 348
Geodesic Cube Pattern 2 [2,0]  Deltoidal Icositetrahedron dmccooeyGeodesic Cubes 26 24 24 of 4 48 oC
Geodesic Cube Pattern 3 [2,1]  Propello Cube dmccooeyGeodesic Cubes 32 30 30 of 4 60 pC
Geodesic Cube Pattern 4 [2,2]  dmccooeyGeodesic Cubes 50 48 48 of 4 96 ojC
Geodesic Cube Pattern 5 [3,0]  dmccooeyGeodesic Cubes 56 54 54 of 4 108
Geodesic Cube Pattern 6 [3,1]  dmccooeyGeodesic Cubes 62 60 60 of 4 120 jKpC
Geodesic Cube Pattern 7 [3,2]  dmccooeyGeodesic Cubes 80 78 78 of 4 156
Geodesic Cube Pattern 8 [4,0]  dmccooeyGeodesic Cubes 98 96 96 of 4 192 ooC
Geodesic Cube Pattern 9 [4,1]  dmccooeyGeodesic Cubes 104 102 102 of 4 204
Geodesic Icosahedron Pattern 1 [1,1]  Pentakis Dodecahedron dmccooeyGeodesic Icosahedra 32 60 60 of 3 90 kI, kD
Geodesic Icosahedron Pattern 10 [5,0]  dmccooeyGeodesic Icosahedra 252 500 500 of 3 750
Geodesic Icosahedron Pattern 11 [3,3]  dmccooeyGeodesic Icosahedra 272 540 540 of 3 810
Geodesic Icosahedron Pattern 12 [4,2]  dmccooeyGeodesic Icosahedra 282 560 560 of 3 840
Geodesic Icosahedron Pattern 13 [5,1]  dmccooeyGeodesic Icosahedra 312 620 620 of 3 930
Geodesic Icosahedron Pattern 14 [6,0]  dmccooeyGeodesic Icosahedra 362 720 720 of 3 1080
Geodesic Icosahedron Pattern 15 [4,3]  dmccooeyGeodesic Icosahedra 372 740 740 of 3 1110
Geodesic Icosahedron Pattern 16 [5,2]  dmccooeyGeodesic Icosahedra 392 780 780 of 3 1170
Geodesic Icosahedron Pattern 17 [6,1]  dmccooeyGeodesic Icosahedra 432 860 860 of 3 1290
Geodesic Icosahedron Pattern 18 [4,4]  dmccooeyGeodesic Icosahedra 482 960 960 of 3 1440
Geodesic Icosahedron Pattern 19 [7,0]  dmccooeyGeodesic Icosahedra 492 980 980 of 3 1470
Geodesic Icosahedron Pattern 2 [2,0]  Pentakis Icosidodecahedron dmccooeyGeodesic Icosahedra 42 80 80 of 3 120 vI, k5aD
Geodesic Icosahedron Pattern 20 [5,3]  dmccooeyGeodesic Icosahedra 492 980 980 of 3 1470
Geodesic Icosahedron Pattern 21 [6,2]  dmccooeyGeodesic Icosahedra 522 1040 1040 of 3 1560
Geodesic Icosahedron Pattern 22 [7,1]  dmccooeyGeodesic Icosahedra 572 1140 1140 of 3 1710
Geodesic Icosahedron Pattern 23 [5,4]  dmccooeyGeodesic Icosahedra 612 1220 1220 of 3 1830
Geodesic Icosahedron Pattern 24 [6,3]  dmccooeyGeodesic Icosahedra 632 1260 1260 of 3 1890
Geodesic Icosahedron Pattern 25 [8,0]  dmccooeyGeodesic Icosahedra 642 1280 1280 of 3 1920
Geodesic Icosahedron Pattern 3 [2,1]  Pentakis Snub Dodecahedron dmccooeyGeodesic Icosahedra 72 140 140 of 3 210 k5sD
Geodesic Icosahedron Pattern 4 [3,0]  Hexakis-Pentakis Truncated Icosahedron dmccooeyGeodesic Icosahedra 92 180 180 of 3 270
Geodesic Icosahedron Pattern 5 [2,2]  Hexakis-Pentakis Chamfered Dodecahedron dmccooeyGeodesic Icosahedra 122 240 240 of 3 360
Geodesic Icosahedron Pattern 6 [3,1]  dmccooeyGeodesic Icosahedra 132 260 260 of 3 390
Geodesic Icosahedron Pattern 7 [4,0]  dmccooeyGeodesic Icosahedra 162 320 320 of 3 480
Geodesic Icosahedron Pattern 8 [3,2]  dmccooeyGeodesic Icosahedra 192 380 380 of 3 570
Geodesic Icosahedron Pattern 9 [4,1]  dmccooeyGeodesic Icosahedra 212 420 420 of 3 630
Great Cubicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 20 8 of 3,6 of 4,6 of 8 42
Great Deltoidal Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 62 60 60 of 4 120
Great Deltoidal Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 26 24 24 of 4 48
Great Dirhombicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 124 40 of 3,60 of 4,24 of 5 182
Great Disdyakis Dodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 26 48 48 of 3 72
Great Disdyakis Triacontahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 62 120 120 of 3 180
Great Ditrigonal Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 60 60 of 4 102
Great Ditrigonal Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 44 20 of 3,12 of 5,12 of 10 102
Great Ditrigonal Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 32 20 of 3,12 of 5 50
Great Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 60 60 of 4 102
Great Dodecahedron  dmccooeyKepler-Poinsotconcave 12 12 12 of 5 22 k(h=-0.2)I
Great Dodecahemicosahedron  dmccooeyVersi-Regularconcave 30 22 12 of 5,10 of 6 50
Great Dodecahemidodecahedron  dmccooeyVersi-Regularconcave 30 18 12 of 5,6 of 10 46
Great Dodecicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 32 60 60 of 4 90
Great Dodecicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 32 20 of 6,12 of 10 90
Great Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 44 20 of 3,12 of 5,12 of 10 102
Great Hexacronic Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 20 24 24 of 4 42
Great Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 104 60 60 of 6 162
Great Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 52 60 60 of 4 110
Great Icosahedron  dmccooeyKepler-Poinsotconcave 12 20 20 of 3 30 k(h=-0.2)k(h=1)D
Great Icosicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 52 20 of 3,12 of 5,20 of 6 110
Great Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 30 32 20 of 3,12 of 5 60
Great Icosihemidodecahedron  dmccooeyVersi-Regularconcave 30 26 20 of 3,6 of 10 54
Great Inverted pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 60 60 of 5 150
Great Inverted Snub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 92 80 of 3,12 of 5 150
Great pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 60 60 of 5 150
Great pentagrammic Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 92 60 60 of 5 150
Great Pentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 24 60 60 of 3 82
Great Retrosnub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 92 80 of 3,12 of 5 150
Great Rhombic Triacontahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 30 30 of 4 60
Great Rhombidodecacron  dmccooeyVersi-Quasi-Regular Dualsconcave 42 60 60 of 4 100
Great Rhombidodecahedron  dmccooeyVersi-Quasi-Regularconcave 60 42 30 of 4,12 of 10 100
Great Rhombihexacron  dmccooeyVersi-Quasi-Regular Dualsconcave 18 24 24 of 4 40
Great Rhombihexahedron  dmccooeyVersi-Quasi-Regularconcave 24 18 12 of 4,6 of 8 40
Great Snub Dodecicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 104 80 of 3,24 of 5 162
Great Snub Icosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 92 80 of 3,12 of 5 150
Great Stellapentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 32 60 60 of 3 90
Great Stellated Dodecahedron  Stellated Great Dodecahedron dmccooeyKepler-Poinsotconcave 20 12 12 of 5 30 k(h=1.6)I
Great Stellated Truncated Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 32 20 of 3,12 of 10 90
Great Triakis Icosahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 32 60 60 of 3 90
Great Triakis Octahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 14 24 24 of 3 36
Great Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 20 20 of 6 50
Great Truncated Cuboctahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 48 26 12 of 4,8 of 6,6 of 8 72
Great Truncated Icosidodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 62 30 of 4,20 of 6,12 of 10 180
Gyrate Deltoidal Icositetrahedron  dmccooeyOther 26 24 24 of 4 48
Heptagonal Antiprism  dmccooeyAntiprisms 14 16 14 of 3,2 of 7 28 A7
Heptagonal Dipyramid  dmccooeyDipyramids and Trapezohedra 9 14 14 of 3 21 dP7
Heptagonal Dodecahedron (type A) (C3-symmetric form 3)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Dodecahedron (type A) (S4-symmetric form 1)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Dodecahedron (type B) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Dodecahedron (type C) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Dodecahedron (type D) (form 3)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Dodecahedron (type E) (form 1)  dmccooeyHigher Genus Toroidalconcave 28 12 12 of 7 38
Heptagonal Iris Toroid  dmccooeyNon-Regular Toroidalconcave 14 21 14 of 3,7 of 4 33
Heptagonal Prism  dmccooeyPrisms 14 9 7 of 4,2 of 7 21 P7
Heptagonal Trapezohedron  dmccooeyDipyramids and Trapezohedra 16 14 14 of 4 28 dA7
Heptagrammic 7/2 Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 16 14 of 3,2 of 7 28
Heptagrammic 7/2 Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 9 14 14 of 3 21
Heptagrammic 7/2 Prism  dmccooeyStar Prisms and Antiprismsconcave 14 9 7 of 4,2 of 7 21
Heptagrammic 7/2 Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 14 14 of 4 28
Heptagrammic 7/3 Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 16 14 of 3,2 of 7 28
Heptagrammic 7/3 Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 9 14 14 of 3 21
Heptagrammic 7/3 Prism  dmccooeyStar Prisms and Antiprismsconcave 14 9 7 of 4,2 of 7 21
Heptagrammic 7/3 Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 14 14 of 4 28
Heptagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 16 14 14 of 4 28
Heptagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 14 16 14 of 3,2 of 7 28
Hexagonal Antiprism  dmccooeyAntiprisms 12 14 12 of 3,2 of 6 24 A6
Hexagonal Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 24 24 12 of 3,12 of 5 46
Hexagonal Dipyramid  dmccooeyDipyramids and Trapezohedra 8 12 12 of 3 18 dP6
Hexagonal Prism  dmccooeyPrismsSpace-filling 12 8 6 of 4,2 of 6 18 P6
Hexagonal Toroid with 8 overarching faces  dmccooeyRegular Hexagonal Toroidalconcave 16 8 8 of 6 22
Hexagonal Trapezohedron  dmccooeyDipyramids and Trapezohedra 14 12 12 of 4 24 dA6
Hexagonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 36 24 24 of 5 58
Hexagonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 24 24 12 of 3,12 of 5 46
Hexpropello Cube (dextro) (canonical)  dmccooeyDerived 56 30 6 of 4,24 of 6 84 wC
Hexpropello Dodecahedron (dextro) (canonical)  dmccooeyDerived 140 72 12 of 5,60 of 6 210 wD
Hugel's Polyhedron  concavedmccooeyOther 20 20 20 of 6 38 i(r=0.2,h=-0.5)D
Icosahedron  dmccooeyPlatonicisohedrondeltahedronGeodesic Icosahedra 12 20 20 of 3 30 I, sY3, k5aY5
Icosidodecadodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 44 24 of 5,20 of 6 102
Icosidodecahedron  dmccooeyArchimedean 30 32 20 of 3,12 of 5 60 aD
Icositruncated Dodecadodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 44 20 of 6,24 of 10 162
Inverted Snub Dodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 84 60 of 3,24 of 5 142
Isohedral Toroid with 24 faces  dmccooeyNon-Regular Toroidalconcave 12 24 24 of 3 34
Jessen's Orthogonal Icosahedron  dmccooeyconcaveOther 12 20 20 of 3 30
Joined Cuboctahedron  dmccooeyArchimedean-Catalan Hulls 26 24 24 of 4 48 jaC
Joined Icosidodecahedron  dmccooeyArchimedean-Catalan Hulls 62 60 60 of 4 120 jI
Joined Rhombicosidodecahedron  dmccooeyArchimedean-Catalan Hulls 122 120 120 of 4 240 jeD
Joined Rhombicuboctahedron  dmccooeyArchimedean-Catalan Hulls 50 48 48 of 4 96 jeO
Joined Snub Cube (dextro)  dmccooeyArchimedean-Catalan Hulls 62 60 60 of 4 120 rjsC
Joined Snub Cube (laevo)  dmccooeyArchimedean-Catalan Hulls 62 60 60 of 4 120 jsC
Joined Snub Dodecahedron (dextro)  dmccooeyArchimedean-Catalan Hulls 152 150 150 of 4 300 rjsD
Joined Snub Dodecahedron (laevo)  dmccooeyArchimedean-Catalan Hulls 152 150 150 of 4 300 jsD
Joined Truncated Cube  dmccooeyArchimedean-Catalan Hulls 38 36 36 of 4 72 jtC
Joined Truncated Cuboctahedron  dmccooeyArchimedean-Catalan Hulls 74 72 72 of 4 144 jaD
Joined Truncated Dodecahedron  dmccooeyArchimedean-Catalan Hulls 92 90 90 of 4 180 jtD
Joined Truncated Icosahedron  dmccooeyArchimedean-Catalan Hulls 92 90 90 of 4 180 jtI
Joined Truncated Icosidodecahedron  dmccooeyArchimedean-Catalan Hulls 182 180 180 of 4 360 jteD
Joined Truncated Octahedron  dmccooeyArchimedean-Catalan HullsSpace-filling 38 36 36 of 4 72 jtO
Joined Truncated Tetrahedron  dmccooeyArchimedean-Catalan Hulls 20 18 18 of 4 36 jtT
Klein Map Dual {3,7}8 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 24 56 56 of 3 78
Klein Map {7,3}8 (basic shape)  dmccooeyHigher Genus Toroidalconcave 56 24 24 of 7 78
Knotted Dodecahedron  dmccooeyNon-Regular Toroidalconcave 18 12 6 of 4,6 of 6 28
L-Propello L-Snub Cube (canonical)  dmccooeyPropellor 144 158 32 of 3,126 of 4 300 pdtO
L-Propello R-pentagonal Icositetrahedron (canonical)  dmccooeyPropellor 158 144 120 of 4,24 of 5 300 pgC
Medial Deltoidal Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 54 60 60 of 4 112
Medial Disdyakis Triacontahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 54 120 120 of 3 172
Medial Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 104 60 60 of 6 162
Medial Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 60 60 of 4 102
Medial Inverted pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 84 60 60 of 5 142
Medial pentagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 84 60 60 of 5 142
Medial Rhombic Triacontahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 24 30 30 of 4 52
Medial Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 24 20 20 of 6 42
Octagonal Antiprism  dmccooeyAntiprisms 16 18 16 of 3,2 of 8 32 A8
Octagonal Dipyramid  dmccooeyDipyramids and Trapezohedra 10 16 16 of 3 24 dP8
Octagonal Iris Toroid  dmccooeyNon-Regular Toroidalconcave 16 24 16 of 3,8 of 4 38
Octagonal Prism  dmccooeyPrisms 16 10 8 of 4,2 of 8 24 P8
Octagonal Trapezohedron  dmccooeyDipyramids and Trapezohedra 18 16 16 of 4 32 dA8
Octagrammic Antiprism  dmccooeyStar Prisms and Antiprismsconcave 16 18 16 of 3,2 of 8 32
Octagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 18 16 16 of 4 32
Octagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 16 18 16 of 3,2 of 8 32
Octagrammic Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 10 16 16 of 3 24
Octagrammic Prism  dmccooeyStar Prisms and Antiprismsconcave 16 10 8 of 4,2 of 8 24
Octagrammic Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 18 16 16 of 4 32
Octahedron  Square Dipyramid dmccooeyPlatonicisohedrondeltahedron 6 8 8 of 3 12 O, aY3
Octahemioctahedron  dmccooeyVersi-Regularconcave 12 12 8 of 3,4 of 6 22 k(h=-0.7,fn=[4])aC
Orthokis Propello Cube (canonical)  dmccooeyDerived 38 48 24 of 3,24 of 4 84 k(regular=true)pC
Orthokis Propello Dodecahedron (canonical)  dmccooeyDerived 92 120 60 of 3,60 of 4 210 k(regular=true)pD
Orthotruncated Propello Icosahedron (canonical)  dmccooeyDerived 120 92 20 of 3,72 of 5 210
Orthotruncated Propello Octahedron (canonical)  dmccooeyDerived 48 38 8 of 3,6 of 4,24 of 5 84
pentagonal Antiprism  dmccooeyAntiprisms 10 12 10 of 3,2 of 5 20 A5
pentagonal Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 20 20 10 of 3,10 of 5 38
pentagonal Dipyramid  dmccooeyDipyramids and Trapezohedra 7 10 10 of 3 15 dP5
pentagonal Hexecontahedron  dmccooeyCatalanchiralisohedron 92 60 60 of 5 150 gD
pentagonal Icositetrahedron  gyroid dmccooeychiralCatalanisohedron 38 24 24 of 5 60 gC
pentagonal Prism  dmccooeyPrisms 10 7 5 of 4,2 of 5 15 P5
pentagonal Trapezohedron  dmccooeyDipyramids and Trapezohedra 12 10 10 of 4 20 dA5
pentagonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 30 20 20 of 5 48
pentagonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 20 20 10 of 3,10 of 5 38
Pentagrammic Antiprism  dmccooeyStar Prisms and Antiprismsconcave 10 12 10 of 3,2 of 5 20
pentagrammic Concave Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 12 10 10 of 4 20
Pentagrammic Crossed Antiprism  dmccooeyStar Prisms and Antiprismsconcave 10 12 10 of 3,2 of 5 20
Pentagrammic Dipyramid  dmccooeyStar Dipyramids and Trapezohedraconcave 7 10 10 of 3 15
Pentagrammic Prism  dmccooeyStar Prisms and Antiprismsconcave 10 7 5 of 4,2 of 5 15
pentagrammic Trapezohedron  dmccooeyStar Dipyramids and Trapezohedraconcave 12 10 10 of 4 20
Pentakis Dodecahedron  dmccooeyCatalanisohedronGeodesic Icosahedra 32 60 60 of 3 90 kD
Pentakis Icosidodecahedron (canonical)  dmccooeyDerivedGeodesic Icosahedra 42 80 80 of 3 120
Pentakis Snub Dodecahedron (laevo) (canonical)  dmccooeyDerived 72 140 140 of 3 210
Propello Cube (canonical)  dmccooeyPropellor 32 30 30 of 4 60 pC
Propello Disdyakis Dodecahedron (canonical)  dmccooeyPropellor 170 192 48 of 3,144 of 4 360 pmC
Propello Disdyakis Triacontahedron (canonical)  dmccooeyPropellor 422 480 120 of 3,360 of 4 900 pmD
Propello Dodecahedron (canonical)  dmccooeyPropellor 80 72 60 of 4,12 of 5 150 pD
Propello Icosahedron (canonical)  dmccooeyPropellor 72 80 20 of 3,60 of 4 150 pI
Propello Octahedron (canonical)  dmccooeyPropellor 30 32 8 of 3,24 of 4 60 pO
Propello Pentakis Dodecahedron (canonical)  dmccooeyPropellor 212 240 60 of 3,180 of 4 450 pkD
Propello Tetrahedron (canonical)  dmccooeyPropellor 16 16 4 of 3,12 of 4 30 pT
Propello Tetrakis Hexahedron (canonical)  dmccooeyPropellor 86 96 24 of 3,72 of 4 180 pdtO
Propello Truncated Cuboctahedron (canonical)  dmccooeyPropellor 192 170 156 of 4,8 of 6,6 of 8 360 ptaC
Propello Truncated Icosahedron (canonical)  dmccooeyPropellor 240 212 180 of 4,12 of 5,20 of 6 450 ptI
Propello Truncated Icosidodecahedron (canonical)  dmccooeyPropellor 480 422 390 of 4,20 of 6,12 of 10 900 pkD
Propello Truncated Octahedron (canonical)  dmccooeyPropellor 96 86 78 of 4,8 of 6 180 ptO
Rectified Truncated Icosahedron  dmccooeyDerived 90 92 60 of 3,12 of 5,20 of 6 180
Regular Hexagonal Toroid with 10 faces (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 20 10 10 of 6 28
Regular Hexagonal Toroid with 11 faces  dmccooeyRegular Hexagonal Toroidalconcave 22 11 11 of 6 31
Regular Hexagonal Toroid with 12 faces (type A) (trapezohedral form)  dmccooeyRegular Hexagonal Toroidalconcave 24 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 24 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type C) (knot form)  dmccooeyRegular Hexagonal Toroidalconcave 24 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type C) (simple form)  dmccooeyRegular Hexagonal Toroidalconcave 24 12 12 of 6 34
Regular Hexagonal Toroid with 12 faces (type D) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 24 12 12 of 6 34
Regular Hexagonal Toroid with 13 faces (type A)  dmccooeyRegular Hexagonal Toroidalconcave 26 13 13 of 6 37
Regular Hexagonal Toroid with 13 faces (type B) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 26 13 13 of 6 37
Regular Hexagonal Toroid with 14 faces (type A) (version 2)  dmccooeyRegular Hexagonal Toroidalconcave 28 14 14 of 6 40
Regular Hexagonal Toroid with 14 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 28 14 14 of 6 40
Regular Hexagonal Toroid with 15 faces (type A) (knot form 2)  dmccooeyRegular Hexagonal Toroidalconcave 30 15 15 of 6 43
Regular Hexagonal Toroid with 15 faces (type A) (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 30 15 15 of 6 43
Regular Hexagonal Toroid with 15 faces (type D) (version 6)  dmccooeyRegular Hexagonal Toroidalconcave 30 15 15 of 6 43
Regular Hexagonal Toroid with 24 faces  dmccooeyRegular Hexagonal Toroidalconcave 48 24 24 of 6 70
Regular Hexagonal Toroid with 8 faces (D2 symmetry)  dmccooeyRegular Hexagonal Toroidalconcave 16 8 8 of 6 22
Regular Hexagonal Toroid with 8 faces (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 16 8 8 of 6 22
Regular Hexagonal Toroid with 9 faces (type A) (cubic form)  dmccooeyRegular Hexagonal Toroidalconcave 18 9 9 of 6 25
Regular Hexagonal Toroid with 9 faces (type A) (triangular form)  dmccooeyRegular Hexagonal Toroidalconcave 18 9 9 of 6 25
Regular Hexagonal Toroid with 9 faces (type B)  dmccooeyRegular Hexagonal Toroidalconcave 18 9 9 of 6 25
Regular Map {4,6}10 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 20 30 30 of 4 48
Regular Map {6,4}10 (Schulte & Wills)  dmccooeyHigher Genus Toroidalconcave 30 20 20 of 6 48
Regular Tetragonal Toroid with 18 faces (type A) (version 1)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type A) (version 2)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type B) (antiprismatic form)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 18 of 4 34
Regular Tetragonal Toroid with 18 faces (type B) (cubic form)  dmccooeyRegular Tetragonal Toroidalconcave 18 18 18 of 4 34
Regular Tetragonal Toroid with 9 faces  dmccooeyRegular Tetragonal Toroidalconcave 9 9 9 of 4 16
Regular Triangular Toroid with 16 faces  dmccooeyRegular Triangular Toroidalconcave 8 16 16 of 3 22
Regular Triangular Toroid with 18 faces (type A) (triangular form)  dmccooeyRegular Triangular Toroidalconcave 9 18 18 of 3 25
Regular Triangular Toroid with 18 faces (type B)  dmccooeyRegular Triangular Toroidalconcave 9 18 18 of 3 25
Regular Triangular Toroid with 20 faces  dmccooeyRegular Triangular Toroidalconcave 10 20 20 of 3 28
Regular Triangular Toroid with 22 faces  dmccooeyRegular Triangular Toroidalconcave 11 22 22 of 3 31
Regular Triangular Toroid with 24 faces (type A) (square form)  dmccooeyRegular Triangular Toroidalconcave 12 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type B)  dmccooeyRegular Triangular Toroidalconcave 12 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type C)  dmccooeyRegular Triangular Toroidalconcave 12 24 24 of 3 34
Regular Triangular Toroid with 24 faces (type D)  dmccooeyRegular Triangular Toroidalconcave 12 24 24 of 3 34
Rhombic Dodecahedron  dmccooeyCatalanisohedron 14 12 12 of 4 24 jC
Rhombic Enneacontahedron  dmccooeyOther 92 90 90 of 4 180
Rhombic Icosahedron  dmccooeyOther 22 20 20 of 4 40
Rhombic Triacontahedron  dmccooeyCatalanisohedron 32 30 30 of 4 60 gD
Rhombicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 50 60 60 of 4 108
Rhombicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 50 30 of 4,20 of 6 108
Rhombicosidodecahedron  dmccooeyArchimedean 60 62 20 of 3,30 of 4,12 of 5 120 aaD
Rhombicuboctahedron  dmccooeyArchimedean 24 26 8 of 3,18 of 4 48 eO, eC, aaC
Rhombidodecadodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 54 30 of 4,24 of 5 112
Schönhardt Polyhedron  dmccooeyconcaveOther 6 8 8 of 3 12
Self-Dual Icosioctahedron #1 (canonical)  dmccooeyGreater Self-Dual 28 28 12 of 3,12 of 4,4 of 6 54
Self-Dual Icosioctahedron #2 (canonical)  dmccooeyGreater Self-Dual 28 28 16 of 3,12 of 5 54
Self-Dual Icosioctahedron #3 (canonical)  dmccooeyGreater Self-Dual 28 28 16 of 3,12 of 5 54
Self-Dual Icosioctahedron #4 (canonical)  dmccooeyGreater Self-Dual 28 28 4 of 3,24 of 4 54
Self-Dual Tetracontahedron #1 (canonical)  dmccooeyGreater Self-Dual 40 40 24 of 3,12 of 4,4 of 9 78
Self-Dual Tetracontahedron #2 (canonical)  dmccooeyGreater Self-Dual 40 40 24 of 3,12 of 5,4 of 6 78
Self-Dual Tetracontahedron #3 (canonical)  dmccooeyGreater Self-Dual 40 40 28 of 3,12 of 6 78
Self-Dual Tetracontahedron #4 (canonical)  dmccooeyGreater Self-Dual 40 40 16 of 3,12 of 4,12 of 5 78
Self-Dual Tetracontahedron #5 (canonical)  dmccooeyGreater Self-Dual 40 40 16 of 3,12 of 4,12 of 5 78
Self-Dual Tetracontahedron #6 (canonical)  dmccooeyGreater Self-Dual 40 40 16 of 3,12 of 4,12 of 5 78
Small Cubicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 20 8 of 3,6 of 4,6 of 8 42
Small Ditrigonal Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 60 60 of 4 102
Small Ditrigonal Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 44 20 of 3,12 of 5,12 of 10 102
Small Ditrigonal Icosidodecahedron  dmccooeySelf-Intersecting Quasi-Regularconcave 20 32 20 of 3,12 of 5 50
Small Dodecacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 44 60 60 of 4 102
Small Dodecahemicosahedron  dmccooeyVersi-Regularconcave 30 22 12 of 5,10 of 6 50
Small Dodecahemidodecahedron  dmccooeyVersi-Regularconcave 30 18 12 of 5,6 of 10 46 k(h=-0.94,fn=[3])aD
Small Dodecicosacron  dmccooeyVersi-Quasi-Regular Dualsconcave 32 60 60 of 4 90
Small Dodecicosahedron  dmccooeyVersi-Quasi-Regularconcave 60 32 20 of 6,12 of 10 90
Small Dodecicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 44 20 of 3,12 of 5,12 of 10 102
Small Hexacronic Icositetrahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 20 24 24 of 4 42
Small Hexagonal Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 112 60 60 of 6 170
Small Hexagrammic Hexecontahedron  dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave 112 60 60 of 6 170
Small Icosacronic Hexecontahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave 52 60 60 of 4 110
Small Icosicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 52 20 of 3,12 of 5,20 of 6 110
Small Icosihemidodecahedron  dmccooeyVersi-Regularconcave 30 26 20 of 3,6 of 10 54 k(5,h=0.5)aD
Small Retrosnub Icosicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 112 100 of 3,12 of 5 170
Small Rhombidodecacron  dmccooeyVersi-Quasi-Regular Dualsconcave 42 60 60 of 4 100
Small Rhombidodecahedron  dmccooeyVersi-Quasi-Regularconcave 60 42 30 of 4,12 of 10 100
Small Rhombihexacron  dmccooeyVersi-Quasi-Regular Dualsconcave 18 24 24 of 4 40
Small Rhombihexahedron  dmccooeyVersi-Quasi-Regularconcave 24 18 12 of 4,6 of 8 40
Small Snub Icosicosidodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 112 100 of 3,12 of 5 170
Small Stellapentakis Dodecahedron  dmccooeySelf-Intersecting Truncated Regular Dualsconcave 24 60 60 of 3 82
Small Stellated Dodecahedron  Stellated Dodecahedron dmccooeyKepler-Poinsotconcave 12 12 12 of 5 22 k(h=1)D
Small Stellated Truncated Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 24 12 of 5,12 of 10 82
Small Triambic Icosahedron  dmccooeySelf-Intersecting Quasi-Regular Dualsconcave 32 20 20 of 6 50
Snub Cube  dmccooeychiralArchimedean 24 38 32 of 3,6 of 4 60 sC
Snub Dodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 84 60 of 3,24 of 5 142
Snub Dodecahedron  dmccooeychiralArchimedean 60 92 80 of 3,12 of 5 150 sD
Snub Hexpropello Dodecahedron (canonical)  dmccooeyDerived 420 632 560 of 3,12 of 5,60 of 6 1050 swD
Snub Icosidodecadodecahedron  dmccooeySelf-Intersecting Snub Quasi-Regularconcave 60 104 80 of 3,24 of 5 162
Snub Truncated Icosahedron (canonical)  dmccooeyDerived 180 272 240 of 3,12 of 5,20 of 6 450 stI
Snub Truncated Octahedron (canonical)  dmccooeyDerived 72 110 96 of 3,6 of 4,8 of 6 180 stO
Square Antiprism  dmccooeyAntiprisms 8 10 8 of 3,2 of 4 16 A4
Square Antiprism-Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 16 16 8 of 3,8 of 5 30
Square Dipyramid  Octahedron dmccooeyDipyramids and Trapezohedra 6 8 8 of 3 12 dP4
Square Prism (Cube)  dmccooeyPrisms 8 6 6 of 4 12 P4
Stella Octangula  Stellated Octahedron, Tetrahedron-Tetrahedron Compound dmccooeyconcaveOther 8 8 8 of 3 14 y0.65O
Stellated Truncated Hexahedron  dmccooeySelf-Intersecting Truncated Regularconcave 24 14 8 of 3,6 of 8 36
Stewart's G3  dmccooeyconcaveOther 13 13 7 of 3,3 of 4,3 of 5 24
Szilassi Polyhedron (version 1)  dmccooeyRegular Hexagonal Toroidalconcave 14 7 7 of 6 19
Tetradyakis Hexahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 20 48 48 of 3 66
Tetragonal Trapezohedron  dmccooeyDipyramids and Trapezohedra 10 8 8 of 4 16 dA4
Tetragonal Trapezohedron Toroid  dmccooeyNon-Regular Toroidalconcave 24 16 16 of 5 38
Tetragonal Trapezohedron-Antiprism Toroid  dmccooeyNon-Regular Toroidalconcave 16 16 8 of 3,8 of 5 30
Tetrahedron  dmccooeyPlatonicisohedrondeltahedron 4 4 4 of 3 6 T, Y3
Tetrahemihexahedron  dmccooeyVersi-Regularconcave 6 7 4 of 3,3 of 4 11
Tetrakis Cuboctahedron (canonical)  dmccooeyDerived 18 32 32 of 3 48 k4aC
Tetrakis Hexahedron  tetrahexahedron dmccooeyCatalanisohedron 14 24 24 of 3 36 kC
Tetrakis Snub Cube (laevo) (canonical)  dmccooeyDerived 30 56 56 of 3 84
Toroid with regular faces  dmccooeyNon-Regular Toroidalconcave 30 24 6 of 3,9 of 4,9 of 6 52
Triakis Icosahedron  dmccooeyCatalanisohedron 32 60 60 of 3 90 kI
Triakis Octahedron  Small Triakis Octahedron, trisoctahedron dmccooeyCatalanisohedron 14 24 24 of 3 36 kO
Triakis Tetrahedron  Tristetrahedron dmccooeyCatalanisohedron 8 12 12 of 3 18 kT
Triangular Antiprism  Octahedron dmccooeyAntiprisms 6 8 8 of 3 12 A3
Triangular Dipyramid  dmccooeyDipyramids and Trapezohedra 5 6 6 of 3 9 dP3
Triangular Prism  dmccooeyPrismsSpace-filling 6 5 2 of 3,3 of 4 9 P3
Tridyakis Icosahedron  dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave 44 120 120 of 3 162
Trigonal Trapezohedron  Cube dmccooeyDipyramids and Trapezohedra 8 6 6 of 4 12 dA3
Truncated Cube  dmccooeyArchimedean 24 14 8 of 3,6 of 8 36 tC
Truncated Cuboctahedron  dmccooeyArchimedean 48 26 12 of 4,8 of 6,6 of 8 72 NtaC
Truncated Disdyakis Dodecahedron  dmccooeyTruncated Catalan 144 74 12 of 4,56 of 6,6 of 8 216 tmC
Truncated Disdyakis Triacontahedron  dmccooeyTruncated Catalan 360 182 30 of 4,140 of 6,12 of 10 540 tMD
Truncated Dodecadodecahedron  dmccooeySelf-Intersecting Truncated Quasi-Regularconcave 120 54 30 of 4,24 of 10 172
Truncated Dodecahedron  dmccooeyArchimedean 60 32 20 of 3,12 of 10 90 tD
Truncated Great Dodecahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 24 12 of 5,12 of 10 82
Truncated Great Icosahedron  dmccooeySelf-Intersecting Truncated Regularconcave 60 32 12 of 5,20 of 6 90
Truncated Icosahedron  Goldberg(1,1), Soccer Ball, C60 Buckyball dmccooeyGoldbergArchimedean 60 32 12 of 5,20 of 6 90 tI
Truncated Icosidodecahedron  dmccooeyArchimedean 120 62 30 of 4,20 of 6,12 of 10 180 bD
Truncated Octahedron  dmccooeyArchimedean 24 14 6 of 4,8 of 6 36 tO
Truncated Pentakis Dodecahedron (canonical)  Goldberg(3,0) dmccooeyGoldbergTruncated CatalanGoldberg 180 92 12 of 5,80 of 6 270 tkD
Truncated Tetrahedron  dmccooeyArchimedean 12 8 4 of 3,4 of 6 18 tT
Truncated Tetrakis Hexahedron (canonical)  dmccooeyTruncated Catalan 72 38 6 of 4,32 of 6 108 tkC
Uniform Great Rhombicosidodecahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 60 62 20 of 3,30 of 4,12 of 5 120
Uniform Great Rhombicuboctahedron  dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave 24 26 8 of 3,18 of 4 48