| 10-Truncated Triakis Icosahedron (canonical)
|
dmccooeyTruncated Catalan
|
140 |
140{3} |
72 |
12{10}+60{5} |
210 |
t10kI |
| 132-pentagon Polyhedron
|
dmccooeyDerived
|
200 |
140{3}+60{4} |
132 |
132{5} |
330 |
|
| 4-5-Truncated Deltoidal Hexecontahedron
|
dmccooeyTruncated Catalan
|
200 |
200{3} |
102 |
60{7}+12{5}+30{4} |
300 |
|
| 4-Truncated Deltoidal Icositetrahedron (canonical)
|
dmccooeyTruncated Catalan
|
80 |
80{3} |
42 |
24{7}+18{4} |
120 |
t4oO |
| 6-Truncated Joined Truncated Tetrahedron (canonical)
|
dmccooeyDerived
|
40 |
40{3} |
22 |
10{6}+12{5} |
60 |
t6jtT |
| 6-Truncated Pentakis Dodecahedron (canonical)
|
dmccooeyTruncated Catalan
|
132 |
120{3}+12{5} |
80 |
20{6}+60{5} |
210 |
t6kD |
| 6-Truncated Tetrakis Hexahedron (canonical)
|
dmccooeyTruncated Catalan
|
54 |
6{4}+48{3} |
32 |
8{6}+24{5} |
84 |
t6kC |
| 6-Truncated Triakis Tetrahedron (canonical)
|
dmccooeyTruncated Catalan
|
28 |
28{3} |
16 |
4{6}+12{5} |
42 |
t6kT |
| 8-Truncated Triakis Octahedron (canonical)
|
dmccooeyTruncated Catalan
|
56 |
56{3} |
30 |
6{8}+24{5} |
84 |
t8kO |
| 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 |
|
| Associahedron (canonical)
|
dmccooeyOther
|
14 |
14{3} |
9 |
6{5}+3{4} |
21 |
|
| Bilinski's Dodecahedron
|
Otherdmccooey
|
14 |
6{4}+8{3} |
12 |
12{4} |
24 |
|
| Biscribed Disdyakis Dodecahedron
|
dmccooeyBiscribed Non-Chiral
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
|
| Biscribed Disdyakis Triacontahedron
|
dmccooeyBiscribed Non-Chiral
|
62 |
30{4}+20{6}+12{10} |
120 |
120{3} |
180 |
|
| Biscribed Dual Snub Truncated Icosahedron
|
dmccooeyBiscribed Chiral
|
272 |
240{3}+20{6}+12{5} |
180 |
180{5} |
450 |
|
| Biscribed Dual Snub Truncated Octahedron
|
dmccooeyBiscribed Chiral
|
110 |
6{4}+96{3}+8{6} |
72 |
72{5} |
180 |
|
| Biscribed Hexpropello Cube (dextro)
|
dmccooeyBiscribed Chiral
|
56 |
56{3} |
30 |
24{6}+6{4} |
84 |
|
| Biscribed Hexpropello Dodecahedron (dextro)
|
dmccooeyBiscribed Chiral
|
140 |
140{3} |
72 |
60{6}+12{5} |
210 |
|
| Biscribed L-Propello L-Snub Cube
|
dmccooeyBiscribed Chiral
|
144 |
120{4}+24{5} |
158 |
126{4}+32{3} |
300 |
|
| Biscribed L-Propello R-pentagonal Icositetrahedron
|
dmccooeyBiscribed Chiral
|
158 |
126{4}+32{3} |
144 |
24{5}+120{4} |
300 |
|
| Biscribed Orthokis Propello Cube
|
dmccooeyBiscribed Chiral
|
38 |
6{4}+24{5}+8{3} |
48 |
24{4}+24{3} |
84 |
|
| Biscribed Orthokis Propello Dodecahedron
|
dmccooeyBiscribed Chiral
|
92 |
72{5}+20{3} |
120 |
60{4}+60{3} |
210 |
|
| Biscribed Orthotruncated Propello Icosahedron
|
dmccooeyBiscribed Chiral
|
120 |
60{4}+60{3} |
92 |
72{5}+20{3} |
210 |
|
| Biscribed Orthotruncated Propello Octahedron
|
dmccooeyBiscribed Chiral
|
48 |
24{3}+24{4} |
38 |
24{5}+6{4}+8{3} |
84 |
|
| Biscribed pentagonal Hexecontahedron (dextro)
|
dmccooeyBiscribed Chiral
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
|
| Biscribed pentagonal Icositetrahedron (dextro)
|
dmccooeyBiscribed Chiral
|
38 |
6{4}+32{3} |
24 |
24{5} |
60 |
|
| Biscribed Pentakis Dodecahedron
|
dmccooeyBiscribed Non-Chiral
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
|
| Biscribed Pentakis Snub Dodecahedron (laevo)
|
dmccooeyBiscribed Chiral
|
72 |
60{6}+12{5} |
140 |
140{3} |
210 |
|
| Biscribed Propello Cube
|
dmccooeyBiscribed Chiral
|
32 |
24{4}+8{3} |
30 |
30{4} |
60 |
|
| Biscribed Propello Disdyakis Dodecahedron
|
dmccooeyBiscribed Chiral
|
170 |
6{8}+156{4}+8{6} |
192 |
144{4}+48{3} |
360 |
|
| Biscribed Propello Disdyakis Triacontahedron
|
dmccooeyBiscribed Chiral
|
422 |
390{4}+20{6}+12{10} |
480 |
360{4}+120{3} |
900 |
|
| Biscribed Propello Dodecahedron
|
dmccooeyBiscribed Chiral
|
80 |
60{4}+20{3} |
72 |
12{5}+60{4} |
150 |
|
| Biscribed Propello Icosahedron
|
dmccooeyBiscribed Chiral
|
72 |
60{4}+12{5} |
80 |
60{4}+20{3} |
150 |
|
| Biscribed Propello Octahedron
|
dmccooeyBiscribed Chiral
|
30 |
30{4} |
32 |
24{4}+8{3} |
60 |
|
| Biscribed Propello Pentakis Dodecahedron
|
dmccooeyBiscribed Chiral
|
212 |
180{4}+20{6}+12{5} |
240 |
180{4}+60{3} |
450 |
|
| Biscribed Propello Tetrahedron
|
dmccooeyBiscribed Chiral
|
16 |
12{4}+4{3} |
16 |
12{4}+4{3} |
30 |
|
| Biscribed Propello Tetrakis Hexahedron
|
dmccooeyBiscribed Chiral
|
86 |
78{4}+8{6} |
96 |
72{4}+24{3} |
180 |
|
| Biscribed Propello Truncated Cuboctahedron
|
dmccooeyBiscribed Chiral
|
192 |
144{4}+48{3} |
170 |
6{8}+8{6}+156{4} |
360 |
|
| Biscribed Propello Truncated Icosahedron
|
dmccooeyBiscribed Chiral
|
240 |
180{4}+60{3} |
212 |
20{6}+12{5}+180{4} |
450 |
|
| Biscribed Propello Truncated Icosidodecahedron
|
dmccooeyBiscribed Chiral
|
480 |
360{4}+120{3} |
422 |
12{10}+20{6}+390{4} |
900 |
|
| Biscribed Propello Truncated Octahedron
|
dmccooeyBiscribed Chiral
|
96 |
72{4}+24{3} |
86 |
8{6}+78{4} |
180 |
|
| Biscribed Snub Cube (laevo)
|
dmccooeyBiscribed Chiral
|
24 |
24{5} |
38 |
6{4}+32{3} |
60 |
|
| Biscribed Snub Dodecahedron (laevo)
|
dmccooeyBiscribed Chiral
|
60 |
60{5} |
92 |
12{5}+80{3} |
150 |
|
| Biscribed Snub Truncated Icosahedron
|
dmccooeyBiscribed Chiral
|
180 |
180{5} |
272 |
20{6}+12{5}+240{3} |
450 |
|
| Biscribed Snub Truncated Octahedron
|
dmccooeyBiscribed Chiral
|
72 |
72{5} |
110 |
8{6}+6{4}+96{3} |
180 |
|
| Biscribed Tetrakis Hexahedron
|
dmccooeyBiscribed Non-Chiral
|
14 |
6{4}+8{6} |
24 |
24{3} |
36 |
|
| Biscribed Tetrakis Snub Cube (laevo)
|
dmccooeyBiscribed Chiral
|
30 |
6{4}+24{6} |
56 |
56{3} |
84 |
|
| Biscribed Truncated Cuboctahedron
|
dmccooeyBiscribed Non-Chiral
|
48 |
48{3} |
26 |
6{8}+8{6}+12{4} |
72 |
|
| Biscribed Truncated Icosahedron
|
dmccooeyBiscribed Non-Chiral
|
60 |
60{3} |
32 |
20{6}+12{5} |
90 |
|
| Biscribed Truncated Icosidodecahedron
|
dmccooeyBiscribed Non-Chiral
|
120 |
120{3} |
62 |
12{10}+20{6}+30{4} |
180 |
|
| Biscribed Truncated Octahedron
|
dmccooeyBiscribed Non-Chiral
|
24 |
24{3} |
14 |
8{6}+6{4} |
36 |
|
| 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 |
|
| Canonical Joined Truncated Icosahedron
|
dmccooeyOther
|
92 |
20{6}+60{3}+12{5} |
90 |
90{4} |
180 |
jtI |
| Chamfered Cube (all edges equal)
|
dmccooeyChamfered
|
32 |
32{3} |
18 |
12{6}+6{4} |
48 |
cC |
| Chamfered Dodecahedron (all edges equal)
|
dmccooeyChamfered
|
80 |
80{3} |
42 |
30{6}+12{5} |
120 |
cD |
| Chamfered Icosahedron (all edges equal)
|
dmccooeyChamfered
|
72 |
12{5}+60{3} |
50 |
30{6}+20{3} |
120 |
cI |
| Chamfered Octahedron (all edges equal)
|
dmccooeyChamfered
|
30 |
6{4}+24{3} |
20 |
12{6}+8{3} |
48 |
cO |
| Chamfered Tetrahedron (all edges equal)
|
dmccooeyChamfered
|
16 |
16{3} |
10 |
6{6}+4{3} |
24 |
cT |
| Chamfered Truncated Icosahedron (canonical)
Goldberg(2,2)
|
dmccooeyChamferedGoldberg
|
240 |
240{3} |
122 |
110{6}+12{5} |
360 |
ctI |
| Concave Dodecahedron
|
dmccooeyconcaveOther
|
20 |
20{3} |
12 |
12{5} |
30 |
|
| Császár Polyhedron (version 4)
|
dmccooeyRegular Triangular Toroidalconcave
|
7 |
7{6} |
14 |
14{3} |
19 |
|
| Cube
Hexahedron
|
dmccooeyPlatonicisohedronSpace-fillingisotoxal
|
8 |
8{3} |
6 |
6{4} |
12 |
C, jY3 |
| Cube-Octahedron Compound
|
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 |
|
| Cuboctahedron
|
dmccooeyArchimedeanisotoxal
|
12 |
12{4} |
14 |
6{4}+8{3} |
24 |
aC |
| Cubohemioctahedron
|
dmccooeyVersi-Regularconcave
|
12 |
12{4} |
10 |
4{6}+6{4} |
20 |
k(h=-0.65,fn=[3])aC |
| Deltoidal Hexecontahedron
|
dmccooeyCatalanisohedron
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
oD |
| Deltoidal Icositetrahedron
|
dmccooeyCatalanisohedron
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
oO |
| Disdyakis Dodecahedron
Hexakis Octahedron
|
dmccooeyCatalanisohedron
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
mC, mO |
| Disdyakis Triacontahedron
Hexakis Icosahedron
|
dmccooeyCatalanisohedron
|
62 |
30{4}+20{6}+12{10} |
120 |
120{3} |
180 |
mD |
| 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
Goldberg(0,1)
|
dmccooeyGoldbergPlatonicisohedronisotoxal
|
20 |
20{3} |
12 |
12{5} |
30 |
D, gY3 |
| Dodecahedron-Icosahedron Compound
|
dmccooeyconcaveOther
|
32 |
20{3}+12{5} |
32 |
12{5}+20{3} |
62 |
y0.3D |
| Dual Geodesic Icosahedron Pattern 1 [1,1]
Truncated Icosahedron, Goldberg(1,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
60 |
60{3} |
32 |
20{6}+12{5} |
90 |
tI, dkD |
| Dual Geodesic Icosahedron Pattern 10 [5,0]
Goldberg(5,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
500 |
500{3} |
252 |
12{5}+240{6} |
750 |
|
| Dual Geodesic Icosahedron Pattern 11 [3,3]
Goldberg(3,3)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
540 |
540{3} |
272 |
12{5}+260{6} |
810 |
tktI |
| Dual Geodesic Icosahedron Pattern 12 [4,2]
Goldberg(4,2)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
560 |
560{3} |
282 |
12{5}+270{6} |
840 |
wcD |
| Dual Geodesic Icosahedron Pattern 13 [5,1]
Goldberg(5,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
620 |
620{3} |
312 |
12{5}+300{6} |
930 |
|
| Dual Geodesic Icosahedron Pattern 14 [6,0]
Goldberg(6,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
720 |
720{3} |
362 |
12{5}+350{6} |
1080 |
ctkD, cdktI, tkt5daD |
| Dual Geodesic Icosahedron Pattern 15 [4,3]
Goldberg(4,3)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
740 |
740{3} |
372 |
12{5}+360{6} |
1110 |
|
| Dual Geodesic Icosahedron Pattern 16 [5,2]
Goldberg(5,2)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
780 |
780{3} |
392 |
12{5}+380{6} |
1170 |
|
| Dual Geodesic Icosahedron Pattern 17 [6,1]
Goldberg(6,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
860 |
860{3} |
432 |
12{5}+420{6} |
1290 |
|
| Dual Geodesic Icosahedron Pattern 18 [4,4]
Goldberg(4,4)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
960 |
960{3} |
482 |
12{5}+470{6} |
1440 |
dkt5dadkt5daD, cctI |
| Dual Geodesic Icosahedron Pattern 19 [7,0]
Goldberg(7,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
980 |
980{3} |
492 |
12{5}+480{6} |
1470 |
|
| Dual Geodesic Icosahedron Pattern 2 [2,0]
Chamfered Dodecahedron, Goldberg(2,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
80 |
80{3} |
42 |
30{6}+12{5} |
120 |
cD |
| Dual Geodesic Icosahedron Pattern 20 [5,3]
Goldberg(5,3)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
980 |
980{3} |
492 |
12{5}+480{6} |
1470 |
wwD |
| Dual Geodesic Icosahedron Pattern 21 [6,2]
Goldberg(6,2)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
1040 |
1040{3} |
522 |
12{5}+510{6} |
1560 |
|
| Dual Geodesic Icosahedron Pattern 22 [7,1]
Goldberg(7,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
1140 |
1140{3} |
572 |
12{5}+560{6} |
1710 |
|
| Dual Geodesic Icosahedron Pattern 23 [5,4]
Goldberg(5,4)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
1220 |
1220{3} |
612 |
12{5}+600{6} |
1830 |
|
| Dual Geodesic Icosahedron Pattern 24 [6,3]
Goldberg(6,3)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
1260 |
1260{3} |
632 |
12{5}+620{6} |
1890 |
|
| Dual Geodesic Icosahedron Pattern 25 [8,0]
Goldberg(8,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
1280 |
1280{3} |
642 |
12{5}+630{6} |
1920 |
cccD |
| Dual Geodesic Icosahedron Pattern 3 [2,1]
Hexpropello Dodecahedron, Goldberg(2,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
140 |
140{3} |
72 |
60{6}+12{5} |
210 |
wD, dk5sD, t5gD |
| Dual Geodesic Icosahedron Pattern 4 [3,0]
Truncated Pentakis Dodecahedron, Goldberg(3,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
180 |
180{3} |
92 |
80{6}+12{5} |
270 |
tkD, dktI, tdtI |
| Dual Geodesic Icosahedron Pattern 5 [2,2]
Truncated Pentakis Icosidodecahedron, Goldberg(2,2)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
240 |
240{3} |
122 |
110{6}+12{5} |
360 |
ctI, dkt5daD |
| Dual Geodesic Icosahedron Pattern 6 [3,1]
Goldberg(3,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
260 |
260{3} |
132 |
12{5}+120{6} |
390 |
|
| Dual Geodesic Icosahedron Pattern 7 [4,0]
Goldberg(4,0)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
320 |
320{3} |
162 |
12{5}+150{6} |
480 |
ccD |
| Dual Geodesic Icosahedron Pattern 8 [3,2]
Goldberg(3,2)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
380 |
380{3} |
192 |
12{5}+180{6} |
570 |
|
| Dual Geodesic Icosahedron Pattern 9 [4,1]
Goldberg(4,1)
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
420 |
420{3} |
212 |
12{5}+200{6} |
630 |
tk5sD |
| Dual Snub Hexpropello Dodecahedron (canonical)
|
dmccooeyDerived
|
632 |
560{3}+60{6}+12{5} |
420 |
420{5} |
1050 |
dswD |
| Dual Snub Truncated Icosahedron (canonical)
|
dmccooeyDerived
|
272 |
240{3}+20{6}+12{5} |
180 |
180{5} |
450 |
dstI |
| Dual Snub Truncated Octahedron (canonical)
|
dmccooeyDerived
|
110 |
6{4}+96{3}+8{6} |
72 |
72{5} |
180 |
dstO |
| Dürer's Solid
|
dmccooeyOther
|
12 |
12{3} |
8 |
6{5}+2{3} |
18 |
|
| Elongated Square Gyrobicupola
|
dmccooeyOther
|
24 |
24{4} |
26 |
18{4}+8{3} |
48 |
|
| Escher's Solid
|
dmccooeyconcaveOther
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
k(h=0.76)KjC |
| Expanded Joined Hexpropello Dodecahedron (canonical)
|
dmccooeyDerived
|
840 |
840{4} |
842 |
60{6}+12{5}+630{4}+140{3} |
1680 |
ejwD |
| Expanded Joined Truncated Pentakis Dodecahedron (canonical)
|
dmccooeyDerived
|
1080 |
1080{4} |
1082 |
80{6}+12{5}+810{4}+180{3} |
2160 |
ejtkD |
| Expanded Propello Truncated Icosahedron (canonical)
|
dmccooeyDerived
|
900 |
900{4} |
902 |
20{6}+12{5}+810{4}+60{3} |
1800 |
eptI |
| Geodesic Cube Pattern 10 [3,3]
|
dmccooeyGeodesic Cubes
|
110 |
102{4}+8{3} |
108 |
108{4} |
216 |
|
| Geodesic Cube Pattern 11 [4,2]
|
dmccooeyGeodesic Cubes
|
122 |
114{4}+8{3} |
120 |
120{4} |
240 |
oKpC |
| Geodesic Cube Pattern 12 [5,0]
|
dmccooeyGeodesic Cubes
|
152 |
144{4}+8{3} |
150 |
150{4} |
300 |
pKpC |
| Geodesic Cube Pattern 13 [4,3]
|
dmccooeyGeodesic Cubes
|
152 |
144{4}+8{3} |
150 |
150{4} |
300 |
|
| Geodesic Cube Pattern 14 [5,1]
|
dmccooeyGeodesic Cubes
|
158 |
150{4}+8{3} |
156 |
156{4} |
312 |
|
| Geodesic Cube Pattern 15 [5,2]
|
dmccooeyGeodesic Cubes
|
176 |
168{4}+8{3} |
174 |
174{4} |
348 |
|
| Geodesic Cube Pattern 2 [2,0]
Deltoidal Icositetrahedron
|
dmccooeyGeodesic Cubes
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
oC |
| Geodesic Cube Pattern 3 [2,1]
Propello Cube
|
dmccooeyGeodesic Cubes
|
32 |
24{4}+8{3} |
30 |
30{4} |
60 |
pC |
| Geodesic Cube Pattern 4 [2,2]
|
dmccooeyGeodesic Cubes
|
50 |
42{4}+8{3} |
48 |
48{4} |
96 |
ojC |
| Geodesic Cube Pattern 5 [3,0]
|
dmccooeyGeodesic Cubes
|
56 |
48{4}+8{3} |
54 |
54{4} |
108 |
|
| Geodesic Cube Pattern 6 [3,1]
|
dmccooeyGeodesic Cubes
|
62 |
54{4}+8{3} |
60 |
60{4} |
120 |
jKpC |
| Geodesic Cube Pattern 7 [3,2]
|
dmccooeyGeodesic Cubes
|
80 |
72{4}+8{3} |
78 |
78{4} |
156 |
|
| Geodesic Cube Pattern 8 [4,0]
|
dmccooeyGeodesic Cubes
|
98 |
90{4}+8{3} |
96 |
96{4} |
192 |
ooC |
| Geodesic Cube Pattern 9 [4,1]
|
dmccooeyGeodesic Cubes
|
104 |
96{4}+8{3} |
102 |
102{4} |
204 |
|
| Geodesic Icosahedron Pattern 1 [1,1]
Pentakis Dodecahedron
|
dmccooeyGeodesic Icosahedra
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
kI, kD |
| Geodesic Icosahedron Pattern 10 [5,0]
|
dmccooeyGeodesic Icosahedra
|
252 |
240{6}+12{5} |
500 |
500{3} |
750 |
|
| Geodesic Icosahedron Pattern 11 [3,3]
|
dmccooeyGeodesic Icosahedra
|
272 |
260{6}+12{5} |
540 |
540{3} |
810 |
|
| Geodesic Icosahedron Pattern 12 [4,2]
|
dmccooeyGeodesic Icosahedra
|
282 |
270{6}+12{5} |
560 |
560{3} |
840 |
|
| Geodesic Icosahedron Pattern 13 [5,1]
|
dmccooeyGeodesic Icosahedra
|
312 |
300{6}+12{5} |
620 |
620{3} |
930 |
|
| Geodesic Icosahedron Pattern 14 [6,0]
|
dmccooeyGeodesic Icosahedra
|
362 |
350{6}+12{5} |
720 |
720{3} |
1080 |
|
| Geodesic Icosahedron Pattern 15 [4,3]
|
dmccooeyGeodesic Icosahedra
|
372 |
360{6}+12{5} |
740 |
740{3} |
1110 |
|
| Geodesic Icosahedron Pattern 16 [5,2]
|
dmccooeyGeodesic Icosahedra
|
392 |
380{6}+12{5} |
780 |
780{3} |
1170 |
|
| Geodesic Icosahedron Pattern 17 [6,1]
|
dmccooeyGeodesic Icosahedra
|
432 |
420{6}+12{5} |
860 |
860{3} |
1290 |
|
| Geodesic Icosahedron Pattern 18 [4,4]
|
dmccooeyGeodesic Icosahedra
|
482 |
470{6}+12{5} |
960 |
960{3} |
1440 |
|
| Geodesic Icosahedron Pattern 19 [7,0]
|
dmccooeyGeodesic Icosahedra
|
492 |
480{6}+12{5} |
980 |
980{3} |
1470 |
|
| Geodesic Icosahedron Pattern 2 [2,0]
Pentakis Icosidodecahedron
|
dmccooeyGeodesic Icosahedra
|
42 |
30{6}+12{5} |
80 |
80{3} |
120 |
vI, k5aD |
| Geodesic Icosahedron Pattern 20 [5,3]
|
dmccooeyGeodesic Icosahedra
|
492 |
480{6}+12{5} |
980 |
980{3} |
1470 |
|
| Geodesic Icosahedron Pattern 21 [6,2]
|
dmccooeyGeodesic Icosahedra
|
522 |
510{6}+12{5} |
1040 |
1040{3} |
1560 |
|
| Geodesic Icosahedron Pattern 22 [7,1]
|
dmccooeyGeodesic Icosahedra
|
572 |
560{6}+12{5} |
1140 |
1140{3} |
1710 |
|
| Geodesic Icosahedron Pattern 23 [5,4]
|
dmccooeyGeodesic Icosahedra
|
612 |
600{6}+12{5} |
1220 |
1220{3} |
1830 |
|
| Geodesic Icosahedron Pattern 24 [6,3]
|
dmccooeyGeodesic Icosahedra
|
632 |
620{6}+12{5} |
1260 |
1260{3} |
1890 |
|
| Geodesic Icosahedron Pattern 25 [8,0]
|
dmccooeyGeodesic Icosahedra
|
642 |
630{6}+12{5} |
1280 |
1280{3} |
1920 |
|
| Geodesic Icosahedron Pattern 3 [2,1]
Pentakis Snub Dodecahedron
|
dmccooeyGeodesic Icosahedra
|
72 |
60{6}+12{5} |
140 |
140{3} |
210 |
k5sD |
| Geodesic Icosahedron Pattern 4 [3,0]
Hexakis-Pentakis Truncated Icosahedron
|
dmccooeyGeodesic Icosahedra
|
92 |
80{6}+12{5} |
180 |
180{3} |
270 |
|
| Geodesic Icosahedron Pattern 5 [2,2]
Hexakis-Pentakis Chamfered Dodecahedron
|
dmccooeyGeodesic Icosahedra
|
122 |
110{6}+12{5} |
240 |
240{3} |
360 |
|
| Geodesic Icosahedron Pattern 6 [3,1]
|
dmccooeyGeodesic Icosahedra
|
132 |
120{6}+12{5} |
260 |
260{3} |
390 |
|
| Geodesic Icosahedron Pattern 7 [4,0]
|
dmccooeyGeodesic Icosahedra
|
162 |
150{6}+12{5} |
320 |
320{3} |
480 |
|
| Geodesic Icosahedron Pattern 8 [3,2]
|
dmccooeyGeodesic Icosahedra
|
192 |
180{6}+12{5} |
380 |
380{3} |
570 |
|
| Geodesic Icosahedron Pattern 9 [4,1]
|
dmccooeyGeodesic Icosahedra
|
212 |
200{6}+12{5} |
420 |
420{3} |
630 |
|
| 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
|
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
|
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 |
|
| Gyrate Deltoidal Icositetrahedron
|
dmccooeyOther
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
|
| Heptagonal Antiprism
|
dmccooeyAntiprisms
|
14 |
14{4} |
16 |
2{7}+14{3} |
28 |
A7 |
| Heptagonal Dipyramid
|
dmccooeyDipyramids and Trapezohedra
|
9 |
2{7}+7{4} |
14 |
14{3} |
21 |
dP7 |
| Heptagonal Dodecahedron (type A) (C3-symmetric form 3)
|
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type A) (S4-symmetric form 1)
|
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type B) (form 1)
|
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type C) (form 1)
|
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type D) (form 3)
|
dmccooeyHigher Genus Toroidalconcave
|
28 |
28{3} |
12 |
12{7} |
38 |
|
| Heptagonal Dodecahedron (type E) (form 1)
|
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 |
|
| Heptagonal Prism
|
dmccooeyPrisms
|
14 |
14{3} |
9 |
2{7}+7{4} |
21 |
P7 |
| Heptagonal Trapezohedron
|
dmccooeyDipyramids and Trapezohedra
|
16 |
2{7}+14{3} |
14 |
14{4} |
28 |
dA7 |
| 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
|
dmccooeyStar Prisms and Antiprismsconcave
|
14 |
14{4} |
16 |
2{7}+14{3} |
28 |
|
| Hexagonal Antiprism
|
dmccooeyAntiprisms
|
12 |
12{4} |
14 |
2{6}+12{3} |
24 |
A6 |
| Hexagonal Antiprism-Trapezohedron Toroid
|
dmccooeyNon-Regular Toroidalconcave
|
24 |
12{5}+12{3} |
24 |
12{5}+12{3} |
46 |
|
| Hexagonal Dipyramid
|
dmccooeyDipyramids and Trapezohedra
|
8 |
2{6}+6{4} |
12 |
12{3} |
18 |
dP6 |
| Hexagonal Prism
|
dmccooeyPrismsSpace-filling
|
12 |
12{3} |
8 |
2{6}+6{4} |
18 |
P6 |
| Hexagonal Toroid with 8 overarching faces
|
dmccooeyRegular Hexagonal Toroidalconcave
|
16 |
16{3} |
8 |
8{6} |
22 |
|
| Hexagonal Trapezohedron
|
dmccooeyDipyramids and Trapezohedra
|
14 |
2{6}+12{3} |
12 |
12{4} |
24 |
dA6 |
| 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 |
|
| Hexpropello Cube (dextro) (canonical)
|
dmccooeyDerived
|
56 |
56{3} |
30 |
24{6}+6{4} |
84 |
wC |
| Hexpropello Dodecahedron (dextro) (canonical)
|
dmccooeyDerived
|
140 |
140{3} |
72 |
60{6}+12{5} |
210 |
wD |
| Hugel's Polyhedron
|
concavedmccooeyOther
|
20 |
20{6} |
20 |
20{6} |
38 |
i(r=0.2,h=-0.5)D |
| Icosahedron
|
dmccooeyPlatonicisohedrondeltahedronGeodesic Icosahedraisotoxal
|
12 |
12{5} |
20 |
20{3} |
30 |
I, sY3, k5aY5 |
| Icosidodecadodecahedron
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
44 |
20{6}+24{5} |
102 |
|
| Icosidodecahedron
|
dmccooeyArchimedeanisotoxal
|
30 |
30{4} |
32 |
12{5}+20{3} |
60 |
aD |
| 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
|
dmccooeyconcaveOther
|
12 |
12{5} |
20 |
20{3} |
30 |
|
| Joined Cuboctahedron
|
dmccooeyArchimedean-Catalan Hulls
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
jaC |
| Joined Icosidodecahedron
|
dmccooeyArchimedean-Catalan Hulls
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
jI |
| Joined Rhombicosidodecahedron
|
dmccooeyArchimedean-Catalan Hulls
|
122 |
90{4}+20{3}+12{5} |
120 |
120{4} |
240 |
jeD |
| Joined Rhombicuboctahedron
|
dmccooeyArchimedean-Catalan Hulls
|
50 |
42{4}+8{3} |
48 |
48{4} |
96 |
jeO |
| Joined Snub Cube (dextro)
|
dmccooeyArchimedean-Catalan Hulls
|
62 |
6{4}+24{5}+32{3} |
60 |
60{4} |
120 |
rjsC |
| Joined Snub Cube (laevo)
|
dmccooeyArchimedean-Catalan Hulls
|
62 |
6{4}+24{5}+32{3} |
60 |
60{4} |
120 |
jsC |
| Joined Snub Dodecahedron (dextro)
|
dmccooeyArchimedean-Catalan Hulls
|
152 |
72{5}+80{3} |
150 |
150{4} |
300 |
rjsD |
| Joined Snub Dodecahedron (laevo)
|
dmccooeyArchimedean-Catalan Hulls
|
152 |
72{5}+80{3} |
150 |
150{4} |
300 |
jsD |
| Joined Truncated Cube
|
dmccooeyArchimedean-Catalan Hulls
|
38 |
6{8}+32{3} |
36 |
36{4} |
72 |
jtC |
| Joined Truncated Cuboctahedron
|
dmccooeyArchimedean-Catalan Hulls
|
74 |
6{8}+48{3}+12{4}+8{6} |
72 |
72{4} |
144 |
jaD |
| Joined Truncated Dodecahedron
|
dmccooeyArchimedean-Catalan Hulls
|
92 |
12{10}+80{3} |
90 |
90{4} |
180 |
jtD |
| Joined Truncated Icosahedron
|
dmccooeyArchimedean-Catalan Hulls
|
92 |
20{6}+60{3}+12{5} |
90 |
90{4} |
180 |
jtI |
| Joined Truncated Icosidodecahedron
|
dmccooeyArchimedean-Catalan Hulls
|
182 |
30{4}+120{3}+20{6}+12{10} |
180 |
180{4} |
360 |
jteD |
| Joined Truncated Octahedron
|
dmccooeyArchimedean-Catalan HullsSpace-filling
|
38 |
6{4}+24{3}+8{6} |
36 |
36{4} |
72 |
jtO |
| Joined Truncated Tetrahedron
|
dmccooeyArchimedean-Catalan Hulls
|
20 |
4{6}+16{3} |
18 |
18{4} |
36 |
jtT |
| Klein Map Dual {3,7}8 (Schulte & Wills)
|
dmccooeyHigher Genus Toroidalconcave
|
24 |
24{7} |
56 |
56{3} |
78 |
|
| Klein Map {7,3}8 (basic shape)
|
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 |
|
| L-Propello L-Snub Cube (canonical)
|
dmccooeyPropellor
|
144 |
120{4}+24{5} |
158 |
126{4}+32{3} |
300 |
pdtO |
| L-Propello R-pentagonal Icositetrahedron (canonical)
|
dmccooeyPropellor
|
158 |
126{4}+32{3} |
144 |
24{5}+120{4} |
300 |
pgC |
| 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
|
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 Antiprism
|
dmccooeyAntiprisms
|
16 |
16{4} |
18 |
2{8}+16{3} |
32 |
A8 |
| Octagonal Dipyramid
|
dmccooeyDipyramids and Trapezohedra
|
10 |
2{8}+8{4} |
16 |
16{3} |
24 |
dP8 |
| Octagonal Iris Toroid
|
dmccooeyNon-Regular Toroidalconcave
|
16 |
16{5} |
24 |
8{4}+16{3} |
38 |
|
| Octagonal Prism
|
dmccooeyPrisms
|
16 |
16{3} |
10 |
2{8}+8{4} |
24 |
P8 |
| Octagonal Trapezohedron
|
dmccooeyDipyramids and Trapezohedra
|
18 |
2{8}+16{3} |
16 |
16{4} |
32 |
dA8 |
| 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 |
|
| Octahedron
Square Dipyramid
|
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
6 |
6{4} |
8 |
8{3} |
12 |
O, aY3 |
| Octahemioctahedron
|
dmccooeyVersi-Regularconcave
|
12 |
12{4} |
12 |
4{6}+8{3} |
22 |
k(h=-0.7,fn=[4])aC |
| Orthokis Propello Cube (canonical)
|
dmccooeyDerived
|
38 |
6{4}+24{5}+8{3} |
48 |
24{4}+24{3} |
84 |
k(regular=true)pC |
| Orthokis Propello Dodecahedron (canonical)
|
dmccooeyDerived
|
92 |
72{5}+20{3} |
120 |
60{4}+60{3} |
210 |
k(regular=true)pD |
| Orthotruncated Propello Icosahedron (canonical)
|
dmccooeyDerived
|
120 |
60{4}+60{3} |
92 |
72{5}+20{3} |
210 |
|
| Orthotruncated Propello Octahedron (canonical)
|
dmccooeyDerived
|
48 |
24{3}+24{4} |
38 |
24{5}+6{4}+8{3} |
84 |
|
| pentagonal Antiprism
|
dmccooeyAntiprisms
|
10 |
|
12 |
10{3}+2{5} |
20 |
A5 |
| pentagonal Antiprism-Trapezohedron Toroid
|
dmccooeyNon-Regular Toroidalconcave
|
20 |
10{5}+10{3} |
20 |
10{5}+10{3} |
38 |
|
| pentagonal Dipyramid
|
dmccooeyDipyramids and Trapezohedra
|
7 |
2{5}+5{4} |
10 |
10{3} |
15 |
dP5 |
| pentagonal Hexecontahedron
|
dmccooeyCatalanchiralisohedron
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
gD |
| pentagonal Icositetrahedron
gyroid
|
dmccooeychiralCatalanisohedron
|
38 |
6{4}+32{3} |
24 |
24{5} |
60 |
gC |
| pentagonal Prism
|
dmccooeyPrisms
|
10 |
10{3} |
7 |
2{5}+5{4} |
15 |
P5 |
| Pentagonal Trapezohedron
|
dmccooeyDipyramids and Trapezohedra
|
12 |
10{3}+2{5} |
10 |
10{4} |
20 |
dA5 |
| 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 |
|
| Pentakis Dodecahedron
|
dmccooeyCatalanisohedronGeodesic Icosahedra
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
kD |
| Pentakis Icosidodecahedron (canonical)
|
dmccooeyDerivedGeodesic Icosahedra
|
42 |
30{6}+12{5} |
80 |
80{3} |
120 |
|
| Pentakis Snub Dodecahedron (laevo) (canonical)
|
dmccooeyDerived
|
72 |
60{6}+12{5} |
140 |
140{3} |
210 |
|
| Propello Cube (canonical)
|
dmccooeyPropellor
|
32 |
24{4}+8{3} |
30 |
30{4} |
60 |
pC |
| Propello Disdyakis Dodecahedron (canonical)
|
dmccooeyPropellor
|
170 |
6{8}+156{4}+8{6} |
192 |
144{4}+48{3} |
360 |
pmC |
| Propello Disdyakis Triacontahedron (canonical)
|
dmccooeyPropellor
|
422 |
390{4}+20{6}+12{10} |
480 |
360{4}+120{3} |
900 |
pmD |
| Propello Dodecahedron (canonical)
|
dmccooeyPropellor
|
80 |
60{4}+20{3} |
72 |
12{5}+60{4} |
150 |
pD |
| Propello Icosahedron (canonical)
|
dmccooeyPropellor
|
72 |
60{4}+12{5} |
80 |
60{4}+20{3} |
150 |
pI |
| Propello Octahedron (canonical)
|
dmccooeyPropellor
|
30 |
30{4} |
32 |
24{4}+8{3} |
60 |
pO |
| Propello Pentakis Dodecahedron (canonical)
|
dmccooeyPropellor
|
212 |
180{4}+20{6}+12{5} |
240 |
180{4}+60{3} |
450 |
pkD |
| Propello Tetrahedron (canonical)
|
dmccooeyPropellor
|
16 |
12{4}+4{3} |
16 |
12{4}+4{3} |
30 |
pT |
| Propello Tetrakis Hexahedron (canonical)
|
dmccooeyPropellor
|
86 |
78{4}+8{6} |
96 |
72{4}+24{3} |
180 |
pdtO |
| Propello Truncated Cuboctahedron (canonical)
|
dmccooeyPropellor
|
192 |
144{4}+48{3} |
170 |
6{8}+8{6}+156{4} |
360 |
ptaC |
| Propello Truncated Icosahedron (canonical)
|
dmccooeyPropellor
|
240 |
180{4}+60{3} |
212 |
20{6}+12{5}+180{4} |
450 |
ptI |
| Propello Truncated Icosidodecahedron (canonical)
|
dmccooeyPropellor
|
480 |
360{4}+120{3} |
422 |
12{10}+20{6}+390{4} |
900 |
pkD |
| Propello Truncated Octahedron (canonical)
|
dmccooeyPropellor
|
96 |
72{4}+24{3} |
86 |
8{6}+78{4} |
180 |
ptO |
| Rectified Truncated Icosahedron
|
dmccooeyDerived
|
90 |
90{4} |
92 |
20{6}+12{5}+60{3} |
180 |
|
| 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)
|
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)
|
dmccooeyHigher Genus Toroidalconcave
|
20 |
20{6} |
30 |
30{4} |
48 |
|
| Regular Map {6,4}10 (Schulte & Wills)
|
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 Dodecahedron
|
dmccooeyCatalanisohedron
|
14 |
6{4}+8{3} |
12 |
12{4} |
24 |
jC |
| Rhombic Dodecahedron
Geodesic Cube Pattern 1 [1,1]
|
dmccooeyGeodesic CubesSpace-fillingisotoxal
|
14 |
6{4}+8{3} |
12 |
12{4} |
24 |
jC |
| Rhombic Enneacontahedron
|
dmccooeyOther
|
92 |
20{6}+60{3}+12{5} |
90 |
90{4} |
180 |
|
| Rhombic Hexecontahedron
|
Otherdmccooey
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
|
| Rhombic Icosahedron
|
dmccooeyOther
|
22 |
10{4}+10{3}+2{5} |
20 |
20{4} |
40 |
|
| Rhombic Triacontahedron
|
dmccooeyCatalanisohedron
|
32 |
12{5}+20{3} |
30 |
30{4} |
60 |
gD |
| 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 |
|
| Rhombicosidodecahedron
|
dmccooeyArchimedean
|
60 |
60{4} |
62 |
12{5}+30{4}+20{3} |
120 |
aaD |
| Rhombicuboctahedron
|
dmccooeyArchimedean
|
24 |
24{4} |
26 |
18{4}+8{3} |
48 |
eO, eC, aaC |
| Rhombidodecadodecahedron
|
dmccooeySelf-Intersecting Quasi-Quasi-Regularconcave
|
60 |
60{4} |
54 |
24{5}+30{4} |
112 |
|
| Schönhardt Polyhedron
|
dmccooeyconcaveOther
|
6 |
6{4} |
8 |
8{3} |
12 |
|
| Self-Dual Icosioctahedron #1 (canonical)
|
dmccooeyGreater Self-Dual
|
28 |
12{4}+12{3}+4{6} |
28 |
4{6}+12{4}+12{3} |
54 |
|
| Self-Dual Icosioctahedron #2 (canonical)
|
dmccooeyGreater Self-Dual
|
28 |
12{5}+16{3} |
28 |
12{5}+16{3} |
54 |
|
| Self-Dual Icosioctahedron #3 (canonical)
|
dmccooeyGreater Self-Dual
|
28 |
12{5}+16{3} |
28 |
12{5}+16{3} |
54 |
|
| Self-Dual Icosioctahedron #4 (canonical)
|
dmccooeyGreater Self-Dual
|
28 |
24{4}+4{3} |
28 |
24{4}+4{3} |
54 |
|
| Self-Dual Tetracontahedron #1 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{4}+24{3}+4{9} |
40 |
4{9}+12{4}+24{3} |
78 |
|
| Self-Dual Tetracontahedron #2 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{5}+24{3}+4{6} |
40 |
4{6}+12{5}+24{3} |
78 |
|
| Self-Dual Tetracontahedron #3 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{6}+28{3} |
40 |
12{6}+28{3} |
78 |
|
| Self-Dual Tetracontahedron #4 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{4}+16{3}+12{5} |
40 |
12{5}+12{4}+16{3} |
78 |
|
| Self-Dual Tetracontahedron #5 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{4}+12{5}+16{3} |
40 |
12{5}+12{4}+16{3} |
78 |
|
| Self-Dual Tetracontahedron #6 (canonical)
|
dmccooeyGreater Self-Dual
|
40 |
12{5}+16{3}+12{4} |
40 |
12{5}+12{4}+16{3} |
78 |
|
| 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
|
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
|
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
|
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 Cube
|
dmccooeychiralArchimedean
|
24 |
24{5} |
38 |
6{4}+32{3} |
60 |
sC |
| Snub Dodecadodecahedron
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{5} |
84 |
24{5}+60{3} |
142 |
|
| Snub Dodecahedron
|
dmccooeychiralArchimedean
|
60 |
60{5} |
92 |
12{5}+80{3} |
150 |
sD |
| Snub Hexpropello Dodecahedron (canonical)
|
dmccooeyDerived
|
420 |
420{5} |
632 |
60{6}+12{5}+560{3} |
1050 |
swD |
| Snub Icosidodecadodecahedron
|
dmccooeySelf-Intersecting Snub Quasi-Regularconcave
|
60 |
60{6} |
104 |
24{5}+80{3} |
162 |
|
| Snub Truncated Icosahedron (canonical)
|
dmccooeyDerived
|
180 |
180{5} |
272 |
20{6}+12{5}+240{3} |
450 |
stI |
| Snub Truncated Octahedron (canonical)
|
dmccooeyDerived
|
72 |
72{5} |
110 |
8{6}+6{4}+96{3} |
180 |
stO |
| Square Antiprism
|
dmccooeyAntiprisms
|
8 |
8{4} |
10 |
2{4}+8{3} |
16 |
A4 |
| Square Antiprism-Trapezohedron Toroid
|
dmccooeyNon-Regular Toroidalconcave
|
16 |
8{5}+8{3} |
16 |
8{5}+8{3} |
30 |
|
| Square Dipyramid
Octahedron
|
dmccooeyDipyramids and Trapezohedra
|
6 |
6{4} |
8 |
8{3} |
12 |
dP4 |
| Square Prism (Cube)
|
dmccooeyPrisms
|
8 |
8{3} |
6 |
6{4} |
12 |
P4 |
| Stella Octangula
Stellated Octahedron, Tetrahedron-Tetrahedron Compound
|
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
|
dmccooeyconcaveOther
|
13 |
7{3}+3{4}+3{5} |
13 |
3{5}+3{4}+7{3} |
24 |
|
| Szilassi Polyhedron (version 1)
|
dmccooeyRegular Hexagonal Toroidalconcave
|
14 |
14{3} |
7 |
7{6} |
19 |
|
| Tetracontahedron with equal edges
|
dmccooeyOther
|
28 |
24{5}+4{3} |
40 |
12{4}+28{3} |
66 |
|
| Tetradyakis Hexahedron
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
20 |
12{8}+8{6} |
48 |
48{3} |
66 |
|
| Tetragonal Trapezohedron
|
dmccooeyDipyramids and Trapezohedra
|
10 |
2{4}+8{3} |
8 |
8{4} |
16 |
dA4 |
| 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 |
|
| Tetrahedron
|
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
4 |
4{3} |
4 |
4{3} |
6 |
T, Y3 |
| Tetrahemihexahedron
|
dmccooeyVersi-Regularconcave
|
6 |
6{4} |
7 |
3{4}+4{3} |
11 |
|
| Tetrakis Cuboctahedron (canonical)
|
dmccooeyDerived
|
18 |
6{4}+12{6} |
32 |
32{3} |
48 |
k4aC |
| Tetrakis Hexahedron
tetrahexahedron
|
dmccooeyCatalanisohedron
|
14 |
6{4}+8{6} |
24 |
24{3} |
36 |
kC |
| Tetrakis Snub Cube (laevo) (canonical)
|
dmccooeyDerived
|
30 |
6{4}+24{6} |
56 |
56{3} |
84 |
|
| Toroid with regular faces
|
dmccooeyNon-Regular Toroidalconcave
|
30 |
15{3}+12{4}+3{5} |
24 |
9{6}+9{4}+6{3} |
52 |
|
| Triakis Icosahedron
|
dmccooeyCatalanisohedron
|
32 |
12{10}+20{3} |
60 |
60{3} |
90 |
kI |
| Triakis Octahedron
Small Triakis Octahedron, trisoctahedron
|
dmccooeyCatalanisohedron
|
14 |
6{8}+8{3} |
24 |
24{3} |
36 |
kO |
| Triakis Tetrahedron
Tristetrahedron
|
dmccooeyCatalanisohedron
|
8 |
4{6}+4{3} |
12 |
12{3} |
18 |
kT |
| Triangular Antiprism
Octahedron
|
dmccooeyAntiprisms
|
6 |
6{4} |
8 |
8{3} |
12 |
A3 |
| Triangular Dipyramid
|
dmccooeyDipyramids and Trapezohedra
|
5 |
2{3}+3{4} |
6 |
6{3} |
9 |
dP3 |
| Triangular Prism
|
dmccooeyPrismsSpace-filling
|
6 |
6{3} |
5 |
3{4}+2{3} |
9 |
P3 |
| Tridyakis Icosahedron
|
dmccooeySelf-Intersecting Truncated Quasi-Regular Dualsconcave
|
44 |
24{10}+20{6} |
120 |
120{3} |
162 |
|
| Trigonal Trapezohedron
Cube
|
dmccooeyDipyramids and Trapezohedra
|
8 |
8{3} |
6 |
6{4} |
12 |
dA3 |
| Truncated Cube
|
dmccooeyArchimedean
|
24 |
24{3} |
14 |
6{8}+8{3} |
36 |
tC |
| Truncated Cuboctahedron
Great Rhombicuboctahedron
|
dmccooeyArchimedean
|
48 |
48{3} |
26 |
6{8}+8{6}+12{4} |
72 |
NtaC |
| Truncated Disdyakis Dodecahedron
|
dmccooeyTruncated Catalan
|
144 |
144{3} |
74 |
6{8}+56{6}+12{4} |
216 |
tmC |
| Truncated Disdyakis Triacontahedron
|
dmccooeyTruncated Catalan
|
360 |
360{3} |
182 |
12{10}+140{6}+30{4} |
540 |
tMD |
| Truncated Dodecadodecahedron
|
dmccooeySelf-Intersecting Truncated Quasi-Regularconcave
|
120 |
120{3} |
54 |
24{10}+30{4} |
172 |
|
| Truncated Dodecahedron
|
dmccooeyArchimedean
|
60 |
60{3} |
32 |
12{10}+20{3} |
90 |
tD |
| 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 |
|
| Truncated Icosahedron
Goldberg(1,1), Soccer Ball, C60 Buckyball
|
dmccooeyGoldbergArchimedean
|
60 |
60{3} |
32 |
20{6}+12{5} |
90 |
tI |
| Truncated Icosidodecahedron
Great Rhombicosidodecahedron
|
dmccooeyArchimedean
|
120 |
120{3} |
62 |
12{10}+20{6}+30{4} |
180 |
bD |
| Truncated Octahedron
|
dmccooeyArchimedeanSpace-filling
|
24 |
24{3} |
14 |
8{6}+6{4} |
36 |
tO |
| Truncated Pentakis Dodecahedron (canonical)
Goldberg(3,0)
|
dmccooeyGoldbergTruncated CatalanGoldberg
|
180 |
180{3} |
92 |
80{6}+12{5} |
270 |
tkD |
| Truncated Tetrahedron
|
dmccooeyArchimedean
|
12 |
12{3} |
8 |
4{6}+4{3} |
18 |
tT |
| Truncated Tetrakis Hexahedron (canonical)
|
dmccooeyTruncated Catalan
|
72 |
72{3} |
38 |
32{6}+6{4} |
108 |
tkC |
| 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 |
|