| Anti-Heptagonal Iris Toroid
|
|
dmccooeyRegular Triangular Toroidalconcave
|
14 |
14{6} |
28 |
28{3} |
40 |
|
| Anti-Hexagonal Iris Toroid
|
|
dmccooeyRegular Triangular Toroidalconcave
|
12 |
12{6} |
24 |
24{3} |
34 |
|
| Anti-Octagonal Iris Toroid #1
|
|
dmccooeyRegular Triangular Toroidalconcave
|
16 |
16{6} |
32 |
32{3} |
46 |
|
| Anti-Octagonal Iris Toroid #2
|
|
dmccooeyRegular Triangular Toroidalconcave
|
16 |
16{6} |
32 |
32{3} |
46 |
|
| Borromean Rings
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
36 |
36{4} |
36 |
36{4} |
70 |
|
| Cairo-Tiling Toroid with 16 faces (type A) (8 faces overarching)
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
16{3}+8{4} |
16 |
16{5} |
38 |
|
| Cairo-Tiling Toroid with 16 faces (type B) (square form)
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
16{3}+8{4} |
16 |
16{5} |
38 |
|
| Cairo-Tiling Toroid with 16 faces (type C) (boomerang form)
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
8{4}+16{3} |
16 |
16{5} |
38 |
|
| Cairo-Tiling Toroid with 8 overarching faces (version 1)
|
|
dmccooeyNon-Regular Toroidalconcave
|
12 |
8{3}+4{4} |
8 |
8{5} |
18 |
|
| Concave Dodecahedron
|
Y |
dmccooeyconcaveOther
|
20 |
20{3} |
12 |
12{5} |
30 |
|
| Császár Polyhedron (version 4)
|
Y |
dmccooeyRegular Triangular Toroidalconcave
|
7 |
7{6} |
14 |
14{3} |
19 |
|
| Cube-Octahedron Compound
|
Y |
dmccooeyconcaveOther
|
14 |
8{3}+6{4} |
14 |
6{4}+8{3} |
26 |
y0.57C |
| Cube-Octahedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
12 |
6{3}+6{5} |
12 |
6{5}+6{3} |
22 |
|
| Cubitruncated Cuboctahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
48 |
48{3} |
20 |
12{8}+8{6} |
66 |
|
| Cubohemioctahedron
|
Y |
dmccooeyVersi-Regularconcave
|
12 |
12{4} |
10 |
4{6}+6{4} |
20 |
k(h=-0.65,fn=[3])aC |
| Ditrigonal Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Regularconcave
|
20 |
20{6} |
24 |
24{5} |
42 |
|
| Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Regularconcave
|
30 |
30{4} |
24 |
24{5} |
52 |
|
| Dodecahedron-Icosahedron Compound
|
Y |
dmccooeyconcaveOther
|
32 |
20{3}+12{5} |
32 |
12{5}+20{3} |
62 |
y0.3D |
| Escher's Solid
|
Y |
dmccooeyconcaveOther
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
k(h=0.76)KjC |
| Excavated Dodecahedron
|
|
concavedeltahedron
|
|
|
|
|
|
k(h=-0.25)D |
| Great Cubicuboctahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
24 |
24{4} |
20 |
6{8}+6{4}+8{3} |
42 |
|
| Great Deltoidal Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
|
| Great Deltoidal Icositetrahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
|
| Great Dirhombicosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{8} |
124 |
24{5}+60{4}+40{3} |
182 |
|
| Great Disdyakis Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
|
| Great Disdyakis Triacontahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
62 |
30{4}+20{6}+12{10} |
120 |
120{3} |
180 |
|
| Great Ditrigonal Dodecacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
44 |
12{10}+20{3}+12{5} |
60 |
60{4} |
102 |
|
| Great Ditrigonal Dodecicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
12{10}+12{5}+20{3} |
102 |
|
| Great Ditrigonal Icosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Regularconcave
|
20 |
20{6} |
32 |
12{5}+20{3} |
50 |
|
| Great Dodecacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
44 |
12{10}+20{3}+12{5} |
60 |
60{4} |
102 |
|
| Great Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
12 |
12{5} |
22 |
k(h=-0.2)I |
| Great Dodecahemicosahedron
|
|
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
22 |
10{6}+12{5} |
50 |
|
| Great Dodecahemidodecahedron
|
|
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
18 |
6{10}+12{5} |
46 |
|
| Great Dodecicosacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
32 |
12{10}+20{6} |
60 |
60{4} |
90 |
|
| Great Dodecicosahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
60 |
60{4} |
32 |
12{10}+20{6} |
90 |
|
| Great Dodecicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
12{10}+12{5}+20{3} |
102 |
|
| Great Hexacronic Icositetrahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
20 |
6{8}+6{4}+8{3} |
24 |
24{4} |
42 |
|
| Great Hexagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
104 |
80{3}+24{5} |
60 |
60{6} |
162 |
|
| Great Icosacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
52 |
20{6}+12{5}+20{3} |
60 |
60{4} |
110 |
|
| Great Icosahedron
|
|
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
20 |
20{3} |
30 |
k(h=-0.2)k(h=1)D |
| Great Icosicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
52 |
20{6}+12{5}+20{3} |
110 |
|
| Great Icosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Regularconcave
|
30 |
30{4} |
32 |
12{5}+20{3} |
60 |
|
| Great Icosihemidodecahedron
|
|
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
26 |
6{10}+20{3} |
54 |
|
| Great Inverted pentagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
|
| Great Inverted Snub Icosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
92 |
12{5}+80{3} |
150 |
|
| Great pentagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
|
| Great pentagrammic Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
|
| Great Pentakis Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regular Dualsconcave
|
24 |
12{10}+12{5} |
60 |
60{3} |
82 |
|
| Great Retrosnub Icosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
92 |
12{5}+80{3} |
150 |
|
| Great Rhombic Triacontahedron
|
|
dmccooeySelf-Intersecting Quasi-Regular Dualsconcave
|
32 |
12{5}+20{3} |
30 |
30{4} |
60 |
|
| Great Rhombidodecacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
42 |
12{10}+30{4} |
60 |
60{4} |
100 |
|
| Great Rhombidodecahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
60 |
60{4} |
42 |
12{10}+30{4} |
100 |
|
| Great Rhombihexacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
18 |
6{8}+12{4} |
24 |
24{4} |
40 |
|
| Great Rhombihexahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
24 |
24{4} |
18 |
6{8}+12{4} |
40 |
|
| Great Snub Dodecicosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{6} |
104 |
24{5}+80{3} |
162 |
|
| Great Snub Icosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
92 |
12{5}+80{3} |
150 |
|
| Great Stellapentakis Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regular Dualsconcave
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
|
| Great Stellated Dodecahedron
Stellated Great Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
20 |
20{3} |
12 |
12{5} |
30 |
k(h=1.6)I |
| Great Stellated Truncated Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regularconcave
|
60 |
60{3} |
32 |
12{10}+20{3} |
90 |
|
| Great Triakis Icosahedron
|
|
dmccooeySelf-Intersecting Truncated Regular Dualsconcave
|
32 |
12{10}+20{3} |
60 |
60{3} |
90 |
|
| Great Triakis Octahedron
|
|
dmccooeySelf-Intersecting Truncated Regular Dualsconcave
|
14 |
6{8}+8{3} |
24 |
24{3} |
36 |
|
| Great Triambic Icosahedron
|
|
dmccooeySelf-Intersecting Quasi-Regular Dualsconcave
|
32 |
20{3}+12{5} |
20 |
20{6} |
50 |
|
| Great Truncated Cuboctahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
48 |
48{3} |
26 |
6{8}+8{6}+12{4} |
72 |
|
| Great Truncated Icosidodecahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
120 |
120{3} |
62 |
12{10}+20{6}+30{4} |
180 |
|
| Heptagonal Dodecahedron (type A) (C3-symmetric form 3)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type A) (S4-symmetric form 1)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type B) (form 1)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type C) (form 1)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type D) (form 3)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type E) (form 1)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Iris Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
14 |
14{5} |
21 |
7{4}+14{3} |
33 |
|
| Heptagrammic 7/2 Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{4} |
16 |
2{7}+14{3} |
28 |
|
| Heptagrammic 7/2 Dipyramid
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
9 |
2{7}+7{4} |
14 |
14{3} |
21 |
|
| Heptagrammic 7/2 Prism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{3} |
9 |
2{7}+7{4} |
21 |
|
| Heptagrammic 7/2 Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
16 |
2{7}+14{3} |
14 |
14{4} |
28 |
|
| Heptagrammic 7/3 Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{4} |
16 |
2{7}+14{3} |
28 |
|
| Heptagrammic 7/3 Dipyramid
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
9 |
2{7}+7{4} |
14 |
14{3} |
21 |
|
| Heptagrammic 7/3 Prism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{3} |
9 |
2{7}+7{4} |
21 |
|
| Heptagrammic 7/3 Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
16 |
2{7}+14{3} |
14 |
14{4} |
28 |
|
| Heptagrammic Concave Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
16 |
2{7}+14{3} |
14 |
14{4} |
28 |
|
| Heptagrammic Crossed Antiprism
|
Y |
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{4} |
16 |
2{7}+14{3} |
28 |
|
| Hexagonal Antiprism-Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
12{5}+12{3} |
24 |
12{5}+12{3} |
46 |
|
| Hexagonal Toroid with 8 overarching faces
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
16 |
16{3} |
8 |
8{6} |
22 |
|
| Hexagonal Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
36 |
12{4}+24{3} |
24 |
24{5} |
58 |
|
| Hexagonal Trapezohedron-Antiprism Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
12{5}+12{3} |
24 |
12{5}+12{3} |
46 |
|
| Hugel's Polyhedron
|
Y |
concavedmccooeyOther
|
20 |
20{6} |
20 |
20{6} |
38 |
i(r=0.2,h=-0.5)D |
| Icosidodecadodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
20{6}+24{5} |
102 |
|
| Icositruncated Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
120 |
120{3} |
44 |
24{10}+20{6} |
162 |
|
| Inverted Snub Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
84 |
24{5}+60{3} |
142 |
|
| Isohedral Toroid with 24 faces
|
|
dmccooeyNon-Regular Toroidalconcave
|
12 |
6{7}+6{5} |
24 |
24{3} |
34 |
|
| Jessen's Orthogonal Icosahedron
|
Y |
dmccooeyconcaveOther
|
12 |
12{5} |
20 |
20{3} |
30 |
|
| Klein Map Dual {3,7}8 (Schulte & Wills)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
24 |
24{7} |
56 |
56{3} |
78 |
|
| Klein Map {7,3}8 (basic shape)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
56 |
56{3} |
24 |
24{7} |
78 |
|
| Knotted Dodecahedron
|
|
dmccooeyNon-Regular Toroidalconcave
|
18 |
12{3}+6{4} |
12 |
6{4}+6{6} |
28 |
|
| Medial Deltoidal Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
54 |
30{4}+24{5} |
60 |
60{4} |
112 |
|
| Medial Disdyakis Triacontahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
54 |
24{10}+30{4} |
120 |
120{3} |
172 |
|
| Medial Hexagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
104 |
24{5}+80{3} |
60 |
60{6} |
162 |
|
| Medial Icosacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
44 |
20{6}+24{5} |
60 |
60{4} |
102 |
|
| Medial Inverted pentagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
84 |
24{5}+60{3} |
60 |
60{5} |
142 |
|
| Medial pentagonal Hexecontahedron
|
Y |
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
84 |
24{5}+60{3} |
60 |
60{5} |
142 |
|
| Medial Rhombic Triacontahedron
|
|
dmccooeySelf-Intersecting Quasi-Regular Dualsconcave
|
24 |
24{5} |
30 |
30{4} |
52 |
|
| Medial Triambic Icosahedron
|
|
dmccooeySelf-Intersecting Quasi-Regular Dualsconcave
|
24 |
24{5} |
20 |
20{6} |
42 |
|
| Octagonal Iris Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
16 |
16{5} |
24 |
8{4}+16{3} |
38 |
|
| Octagrammic Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
16 |
16{4} |
18 |
2{8}+16{3} |
32 |
|
| Octagrammic Concave Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
18 |
2{8}+16{3} |
16 |
16{4} |
32 |
|
| Octagrammic Crossed Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
16 |
16{4} |
18 |
2{8}+16{3} |
32 |
|
| Octagrammic Dipyramid
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
10 |
2{8}+8{4} |
16 |
16{3} |
24 |
|
| Octagrammic Prism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
16 |
16{3} |
10 |
2{8}+8{4} |
24 |
|
| Octagrammic Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
18 |
2{8}+16{3} |
16 |
16{4} |
32 |
|
| Octahemioctahedron
|
Y |
dmccooeyVersi-Regularconcave
|
12 |
12{4} |
12 |
4{6}+8{3} |
22 |
k(h=-0.7,fn=[4])aC |
| pentagonal Antiprism-Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
20 |
10{5}+10{3} |
20 |
10{5}+10{3} |
38 |
|
| pentagonal Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
30 |
20{3}+10{4} |
20 |
20{5} |
48 |
|
| pentagonal Trapezohedron-Antiprism Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
20 |
|
20 |
10{3}+10{5} |
38 |
|
| Pentagrammic Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
10 |
10{4} |
12 |
2{5}+10{3} |
20 |
|
| pentagrammic Concave Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
12 |
10{3}+2{5} |
10 |
10{4} |
20 |
|
| Pentagrammic Crossed Antiprism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
10 |
10{4} |
12 |
2{5}+10{3} |
20 |
|
| Pentagrammic Dipyramid
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
7 |
2{5}+5{4} |
10 |
10{3} |
15 |
|
| Pentagrammic Prism
|
|
dmccooeyStar Prisms and Antiprismsconcave
|
10 |
10{3} |
7 |
2{5}+5{4} |
15 |
|
| pentagrammic Trapezohedron
|
|
dmccooeyStar Dipyramids and Trapezohedraconcave
|
12 |
10{3}+2{5} |
10 |
10{4} |
20 |
|
| Regular Hexagonal Toroid with 10 faces (version 2)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
20 |
20{3} |
10 |
10{6} |
28 |
|
| Regular Hexagonal Toroid with 11 faces
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
22 |
22{3} |
11 |
11{6} |
31 |
|
| Regular Hexagonal Toroid with 12 faces (type A) (trapezohedral form)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
24 |
24{3} |
12 |
12{6} |
34 |
|
| Regular Hexagonal Toroid with 12 faces (type B)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
24 |
24{3} |
12 |
12{6} |
34 |
|
| Regular Hexagonal Toroid with 12 faces (type C) (knot form)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
24 |
24{3} |
12 |
12{6} |
34 |
|
| Regular Hexagonal Toroid with 12 faces (type C) (simple form)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
24 |
24{3} |
12 |
12{6} |
34 |
|
| Regular Hexagonal Toroid with 12 faces (type D) (version 2)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
24 |
24{3} |
12 |
12{6} |
34 |
|
| Regular Hexagonal Toroid with 13 faces (type A)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
26 |
26{3} |
13 |
13{6} |
37 |
|
| Regular Hexagonal Toroid with 13 faces (type B) (version 2)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
26 |
26{3} |
13 |
13{6} |
37 |
|
| Regular Hexagonal Toroid with 14 faces (type A) (version 2)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
28 |
28{3} |
14 |
14{6} |
40 |
|
| Regular Hexagonal Toroid with 14 faces (type B)
|
Y |
dmccooeyRegular Hexagonal Toroidalconcave
|
28 |
28{3} |
14 |
14{6} |
40 |
|
| Regular Hexagonal Toroid with 15 faces (type A) (knot form 2)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
30 |
30{3} |
15 |
15{6} |
43 |
|
| Regular Hexagonal Toroid with 15 faces (type A) (version 1)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
30 |
30{3} |
15 |
15{6} |
43 |
|
| Regular Hexagonal Toroid with 15 faces (type D) (version 6)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
30 |
30{3} |
15 |
15{6} |
43 |
|
| Regular Hexagonal Toroid with 24 faces
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
48 |
48{3} |
24 |
24{6} |
70 |
|
| Regular Hexagonal Toroid with 8 faces (D2 symmetry)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
16 |
16{3} |
8 |
8{6} |
22 |
|
| Regular Hexagonal Toroid with 8 faces (version 1)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
16 |
16{3} |
8 |
8{6} |
22 |
|
| Regular Hexagonal Toroid with 9 faces (type A) (cubic form)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
18 |
18{3} |
9 |
9{6} |
25 |
|
| Regular Hexagonal Toroid with 9 faces (type A) (triangular form)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
18 |
18{3} |
9 |
9{6} |
25 |
|
| Regular Hexagonal Toroid with 9 faces (type B)
|
|
dmccooeyRegular Hexagonal Toroidalconcave
|
18 |
18{3} |
9 |
9{6} |
25 |
|
| Regular Map {4,6}10 (Schulte & Wills)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
20 |
20{6} |
30 |
30{4} |
48 |
|
| Regular Map {6,4}10 (Schulte & Wills)
|
Y |
dmccooeyHigher Genus Toroidalconcave
|
30 |
30{4} |
20 |
20{6} |
48 |
|
| Regular Tetragonal Toroid with 18 faces (type A) (version 1)
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
18 |
18{4} |
18 |
18{4} |
34 |
|
| Regular Tetragonal Toroid with 18 faces (type A) (version 2)
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
18 |
18{4} |
18 |
18{4} |
34 |
|
| Regular Tetragonal Toroid with 18 faces (type B) (antiprismatic form)
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
18 |
18{4} |
18 |
18{4} |
34 |
|
| Regular Tetragonal Toroid with 18 faces (type B) (cubic form)
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
18 |
18{4} |
18 |
18{4} |
34 |
|
| Regular Tetragonal Toroid with 9 faces
|
|
dmccooeyRegular Tetragonal Toroidalconcave
|
9 |
9{4} |
9 |
9{4} |
16 |
|
| Regular Triangular Toroid with 16 faces
|
|
dmccooeyRegular Triangular Toroidalconcave
|
8 |
8{6} |
16 |
16{3} |
22 |
|
| Regular Triangular Toroid with 18 faces (type A) (triangular form)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
9 |
9{6} |
18 |
18{3} |
25 |
|
| Regular Triangular Toroid with 18 faces (type B)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
9 |
9{6} |
18 |
18{3} |
25 |
|
| Regular Triangular Toroid with 20 faces
|
|
dmccooeyRegular Triangular Toroidalconcave
|
10 |
10{6} |
20 |
20{3} |
28 |
|
| Regular Triangular Toroid with 22 faces
|
|
dmccooeyRegular Triangular Toroidalconcave
|
11 |
11{6} |
22 |
22{3} |
31 |
|
| Regular Triangular Toroid with 24 faces (type A) (square form)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
12 |
12{6} |
24 |
24{3} |
34 |
|
| Regular Triangular Toroid with 24 faces (type B)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
12 |
12{6} |
24 |
24{3} |
34 |
|
| Regular Triangular Toroid with 24 faces (type C)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
12 |
12{6} |
24 |
24{3} |
34 |
|
| Regular Triangular Toroid with 24 faces (type D)
|
|
dmccooeyRegular Triangular Toroidalconcave
|
12 |
12{6} |
24 |
24{3} |
34 |
|
| Rhombic Dodecahemioctahedron
|
|
Space-fillingconcave
|
13 |
4{4}+8{5}+1{8} |
20 |
16{3}+4{4} |
31 |
|
| Rhombicosacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
50 |
20{6}+30{4} |
60 |
60{4} |
108 |
|
| Rhombicosahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
60 |
60{4} |
50 |
20{6}+30{4} |
108 |
|
| Rhombidodecadodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
54 |
24{5}+30{4} |
112 |
|
| Schönhardt Polyhedron
|
Y |
dmccooeyconcaveOther
|
6 |
6{4} |
8 |
8{3} |
12 |
|
| Small Cubicuboctahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
24 |
24{4} |
20 |
6{8}+6{4}+8{3} |
42 |
|
| Small Ditrigonal Dodecacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
44 |
12{10}+20{3}+12{5} |
60 |
60{4} |
102 |
|
| Small Ditrigonal Dodecicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
12{10}+12{5}+20{3} |
102 |
|
| Small Ditrigonal Icosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Regularconcave
|
20 |
20{6} |
32 |
12{5}+20{3} |
50 |
|
| Small Dodecacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
44 |
12{10}+20{3}+12{5} |
60 |
60{4} |
102 |
|
| Small Dodecahemicosahedron
|
|
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
22 |
10{6}+12{5} |
50 |
|
| Small Dodecahemidodecahedron
|
Y |
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
18 |
6{10}+12{5} |
46 |
k(h=-0.94,fn=[3])aD |
| Small Dodecicosacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
32 |
12{10}+20{6} |
60 |
60{4} |
90 |
|
| Small Dodecicosahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
60 |
60{4} |
32 |
12{10}+20{6} |
90 |
|
| Small Dodecicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
12{10}+12{5}+20{3} |
102 |
|
| Small Hexacronic Icositetrahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
20 |
6{8}+6{4}+8{3} |
24 |
24{4} |
42 |
|
| Small Hexagonal Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
112 |
100{3}+12{5} |
60 |
60{6} |
170 |
|
| Small Hexagrammic Hexecontahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regular Dualsconcave
|
112 |
100{3}+12{5} |
60 |
60{6} |
170 |
|
| Small Icosacronic Hexecontahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regular Dualsconcave
|
52 |
20{6}+12{5}+20{3} |
60 |
60{4} |
110 |
|
| Small Icosicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
52 |
20{6}+12{5}+20{3} |
110 |
|
| Small Icosihemidodecahedron
|
Y |
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
26 |
6{10}+20{3} |
54 |
k(5,h=0.5)aD |
| Small Retrosnub Icosicosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{6} |
112 |
12{5}+100{3} |
170 |
|
| Small Rhombidodecacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
42 |
12{10}+30{4} |
60 |
60{4} |
100 |
|
| Small Rhombidodecahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
60 |
60{4} |
42 |
12{10}+30{4} |
100 |
|
| Small Rhombihexacron
|
|
dmccooeyVersi-Quasi-Regular Dualsconcave
|
18 |
6{8}+12{4} |
24 |
24{4} |
40 |
|
| Small Rhombihexahedron
|
|
dmccooeyVersi-Quasi-Regularconcave
|
24 |
24{4} |
18 |
6{8}+12{4} |
40 |
|
| Small Snub Icosicosidodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{6} |
112 |
12{5}+100{3} |
170 |
|
| Small Stellapentakis Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regular Dualsconcave
|
24 |
12{10}+12{5} |
60 |
60{3} |
82 |
|
| Small Stellated Dodecahedron
Stellated Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
12 |
12{5} |
22 |
k(h=1)D |
| Small Stellated Truncated Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regularconcave
|
60 |
60{3} |
24 |
12{10}+12{5} |
82 |
|
| Small Triambic Icosahedron
|
|
dmccooeySelf-Intersecting Quasi-Regular Dualsconcave
|
32 |
20{3}+12{5} |
20 |
20{6} |
50 |
|
| Snub Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
84 |
24{5}+60{3} |
142 |
|
| Snub Icosidodecadodecahedron
|
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{6} |
104 |
24{5}+80{3} |
162 |
|
| Square Antiprism-Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
16 |
8{5}+8{3} |
16 |
8{5}+8{3} |
30 |
|
| Stella Octangula
Stellated Octahedron, Tetrahedron-Tetrahedron Compound
|
Y |
dmccooeyconcaveOther
|
8 |
8{3} |
8 |
8{3} |
14 |
y0.65O |
| Stellated Truncated Hexahedron
|
|
dmccooeySelf-Intersecting Truncated Regularconcave
|
24 |
24{3} |
14 |
6{8}+8{3} |
36 |
|
| Stewart's G3
|
Y |
dmccooeyconcaveOther
|
13 |
7{3}+3{4}+3{5} |
13 |
3{5}+3{4}+7{3} |
24 |
|
| Szilassi Polyhedron (version 1)
|
Y |
dmccooeyRegular Hexagonal Toroidalconcave
|
14 |
14{3} |
7 |
7{6} |
19 |
|
| Tetradyakis Hexahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
20 |
12{8}+8{6} |
48 |
48{3} |
66 |
|
| Tetragonal Trapezohedron Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
8{4}+16{3} |
16 |
16{5} |
38 |
|
| Tetragonal Trapezohedron-Antiprism Toroid
|
|
dmccooeyNon-Regular Toroidalconcave
|
16 |
8{5}+8{3} |
16 |
8{5}+8{3} |
30 |
|
| Tetrahemihexahedron
|
Y |
dmccooeyVersi-Regularconcave
|
6 |
6{4} |
7 |
3{4}+4{3} |
11 |
|
| Toroid with regular faces
|
Y |
dmccooeyNon-Regular Toroidalconcave
|
30 |
15{3}+12{4}+3{5} |
24 |
9{6}+9{4}+6{3} |
52 |
|
| Tridyakis Icosahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
44 |
24{10}+20{6} |
120 |
120{3} |
162 |
|
| Truncated Dodecadodecahedron
|
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
120 |
120{3} |
54 |
24{10}+30{4} |
172 |
|
| Truncated Great Dodecahedron
|
|
dmccooeySelf-Intersecting Truncated Regularconcave
|
60 |
60{3} |
24 |
12{10}+12{5} |
82 |
|
| Truncated Great Icosahedron
|
|
dmccooeySelf-Intersecting Truncated Regularconcave
|
60 |
60{3} |
32 |
20{6}+12{5} |
90 |
|
| Uniform Great Rhombicosidodecahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
62 |
12{5}+30{4}+20{3} |
120 |
|
| Uniform Great Rhombicuboctahedron
|
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
24 |
24{4} |
26 |
18{4}+8{3} |
48 |
|