| 10-Truncated Triakis Icosahedron (canonical)
|
Y |
dmccooeyTruncated Catalan
|
140 |
140{3} |
72 |
12{10}+60{5} |
210 |
t10kI |
| 4-Truncated Deltoidal Icositetrahedron (canonical)
|
Y |
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)
|
Y |
dmccooeyTruncated Catalan
|
132 |
120{3}+12{5} |
80 |
20{6}+60{5} |
210 |
t6kD |
| 6-Truncated Tetrakis Hexahedron (canonical)
|
Y |
dmccooeyTruncated Catalan
|
54 |
6{4}+48{3} |
32 |
8{6}+24{5} |
84 |
t6kC |
| 6-Truncated Triakis Tetrahedron (canonical)
|
Y |
dmccooeyTruncated Catalan
|
28 |
28{3} |
16 |
4{6}+12{5} |
42 |
t6kT |
| 8-Truncated Triakis Octahedron (canonical)
|
Y |
dmccooeyTruncated Catalan
|
56 |
56{3} |
30 |
6{8}+24{5} |
84 |
t8kO |
| Another of George's polyhedra
|
|
Hart
|
420 |
420{5} |
632 |
60{6}+12{5}+560{3} |
1050 |
sdk5sI |
| Canonical Joined Truncated Icosahedron
|
|
dmccooeyOther
|
92 |
20{6}+60{3}+12{5} |
90 |
90{4} |
180 |
jtI |
| Chamfered Cube (all edges equal)
|
Y |
dmccooeyChamfered
|
32 |
32{3} |
18 |
12{6}+6{4} |
48 |
cC |
| Chamfered Dodecahedron (all edges equal)
|
Y |
dmccooeyChamfered
|
80 |
80{3} |
42 |
30{6}+12{5} |
120 |
cD |
| Chamfered Icosahedron (all edges equal)
|
Y |
dmccooeyChamfered
|
72 |
12{5}+60{3} |
50 |
30{6}+20{3} |
120 |
cI |
| Chamfered Octahedron (all edges equal)
|
Y |
dmccooeyChamfered
|
30 |
6{4}+24{3} |
20 |
12{6}+8{3} |
48 |
cO |
| Chamfered Tetrahedron (all edges equal)
|
Y |
dmccooeyChamfered
|
16 |
16{3} |
10 |
6{6}+4{3} |
24 |
cT |
| Chamfered Truncated Icosahedron (canonical)
Goldberg(2,2)
|
Y |
dmccooeyChamferedGoldberg
|
240 |
240{3} |
122 |
110{6}+12{5} |
360 |
ctI |
| Cube
Hexahedron
|
Y |
dmccooeyPlatonicisohedronSpace-fillingisotoxal
|
8 |
8{3} |
6 |
6{4} |
12 |
C, jY3 |
| Cube-Octahedron Compound
|
Y |
dmccooeyconcaveOther
|
14 |
8{3}+6{4} |
14 |
6{4}+8{3} |
26 |
y0.57C |
| Cuboctahedron
|
Y |
dmccooeyArchimedeanisotoxal
|
12 |
12{4} |
14 |
6{4}+8{3} |
24 |
aC |
| Cubohemioctahedron
|
Y |
dmccooeyVersi-Regularconcave
|
12 |
12{4} |
10 |
4{6}+6{4} |
20 |
k(h=-0.65,fn=[3])aC |
| Deltoidal Hexecontahedron
|
Y |
dmccooeyCatalanisohedron
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
oD |
| Deltoidal Icositetrahedron
|
Y |
dmccooeyCatalanisohedron
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
oO |
| dgtD
|
|
CW designs
|
|
|
|
|
|
dgtD |
| Disdyakis Dodecahedron
Hexakis Octahedron
|
Y |
dmccooeyCatalanisohedron
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
mC, mO |
| Disdyakis Triacontahedron
Hexakis Icosahedron
|
Y |
dmccooeyCatalanisohedron
|
62 |
30{4}+20{6}+12{10} |
120 |
120{3} |
180 |
mD |
| Dodecahedron
Goldberg(0,1)
|
Y |
dmccooeyGoldbergPlatonicisohedronisotoxal
|
20 |
20{3} |
12 |
12{5} |
30 |
D, gY3 |
| Dodecahedron-Icosahedron Compound
|
Y |
dmccooeyconcaveOther
|
32 |
20{3}+12{5} |
32 |
12{5}+20{3} |
62 |
y0.3D |
| Dual Geodesic Icosahedron Pattern [16,0]
Goldberg(16,0)
|
|
Dual Geodesic IcosahedraGoldberg
|
5120 |
|
2662 |
12{5}+2550{6} |
7780 |
ccccD |
| Dual Geodesic Icosahedron Pattern [6,6]
Goldberg(6,6)
|
|
Dual Geodesic IcosahedraGoldberg
|
2160 |
|
1082 |
12{5}+1070{6} |
3240 |
ctktI |
| Dual Geodesic Icosahedron Pattern [9,0]
Goldberg(9,0)
|
|
Dual Geodesic IcosahedraGoldberg
|
1620 |
|
812 |
12{5}+800{6} |
2430 |
tdtdtkD |
| 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 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 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 18 [4,4]
Goldberg(4,4)
|
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
960 |
960{3} |
482 |
12{5}+470{6} |
1440 |
dkt5dadkt5daD, cctI |
| 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 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 7 [4,0]
Goldberg(4,0)
|
|
dmccooeyDual Geodesic IcosahedraGoldberg
|
320 |
320{3} |
162 |
12{5}+150{6} |
480 |
ccD |
| 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)
|
Y |
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 |
| eepT
|
|
Hart
|
|
|
|
|
|
eeKpT |
| egD
|
|
CW designs
|
|
|
|
|
|
egD |
| ekD
|
|
CW designs
|
|
|
|
|
|
ekD |
| emD
|
|
CW designs
|
|
|
|
|
|
emD |
| enneacontahedron
|
|
Hart
|
|
|
|
|
|
jtD |
| eoD
|
|
CW designs
|
|
|
|
|
|
eoD |
| epD
|
|
CW designs
|
|
|
|
|
|
eKpD |
| Escher's Solid
|
Y |
dmccooeyconcaveOther
|
26 |
6{8}+12{4}+8{6} |
48 |
48{3} |
72 |
k(h=0.76)KjC |
| etD
|
|
CW designs
|
|
|
|
|
|
etD |
| Excavated Dodecahedron
|
|
concavedeltahedron
|
|
|
|
|
|
k(h=-0.25)D |
| Expanded Joined Hexpropello Dodecahedron (canonical)
|
Y |
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 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 16[4,4]
|
|
Geodesic Cubes
|
194 |
|
192 |
192{4} |
384 |
oojC |
| 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 6 [3,1]
|
|
dmccooeyGeodesic Cubes
|
62 |
54{4}+8{3} |
60 |
60{4} |
120 |
jKpC |
| Geodesic Cube Pattern 8 [4,0]
|
|
dmccooeyGeodesic Cubes
|
98 |
90{4}+8{3} |
96 |
96{4} |
192 |
ooC |
| Geodesic Icosahedron Pattern 1 [1,1]
Pentakis Dodecahedron
|
|
dmccooeyGeodesic Icosahedra
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
kI, kD |
| Geodesic Icosahedron Pattern 2 [2,0]
Pentakis Icosidodecahedron
|
|
dmccooeyGeodesic Icosahedra
|
42 |
30{6}+12{5} |
80 |
80{3} |
120 |
vI, k5aD |
| Geodesic Icosahedron Pattern 3 [2,1]
Pentakis Snub Dodecahedron
|
|
dmccooeyGeodesic Icosahedra
|
72 |
60{6}+12{5} |
140 |
140{3} |
210 |
k5sD |
| gmD
|
|
CW designs
|
|
|
|
|
|
gmD |
| Great Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
12 |
12{5} |
22 |
k(h=-0.2)I |
| Great Icosahedron
|
|
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
20 |
20{3} |
30 |
k(h=-0.2)k(h=1)D |
| Great Stellated Dodecahedron
Stellated Great Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
20 |
20{3} |
12 |
12{5} |
30 |
k(h=1.6)I |
| gyrogyrocube
|
|
Hart
|
|
|
|
|
|
ggC |
| 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 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 |
| Hexagonal Antiprism
|
|
dmccooeyAntiprisms
|
12 |
12{4} |
14 |
2{6}+12{3} |
24 |
A6 |
| 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 Trapezohedron
|
|
dmccooeyDipyramids and Trapezohedra
|
14 |
2{6}+12{3} |
12 |
12{4} |
24 |
dA6 |
| 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
|
Y |
concavedmccooeyOther
|
20 |
20{6} |
20 |
20{6} |
38 |
i(r=0.2,h=-0.5)D |
| Icosahedron
|
Y |
dmccooeyPlatonicisohedrondeltahedronGeodesic Icosahedraisotoxal
|
12 |
12{5} |
20 |
20{3} |
30 |
I, sY3, k5aY5 |
| Icosidodecahedron
|
Y |
dmccooeyArchimedeanisotoxal
|
30 |
30{4} |
32 |
12{5}+20{3} |
60 |
aD |
| J1
Square Pyramid(J1)
|
|
JohnsonPyramids
|
5 |
4{3}+1{4} |
5 |
4{3}+1{4} |
8 |
Y4 |
| J2
pentagonal Pyramid(J2)
|
|
JohnsonPyramids
|
6 |
5{3}+1{5} |
6 |
5{3}+1{5} |
10 |
Y5 |
| Joined Cuboctahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
26 |
18{4}+8{3} |
24 |
24{4} |
48 |
jaC |
| Joined Icosidodecahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
62 |
30{4}+20{3}+12{5} |
60 |
60{4} |
120 |
jI |
| Joined Rhombicosidodecahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
122 |
90{4}+20{3}+12{5} |
120 |
120{4} |
240 |
jeD |
| Joined Rhombicuboctahedron
|
Y |
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)
|
Y |
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)
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
152 |
72{5}+80{3} |
150 |
150{4} |
300 |
jsD |
| Joined Truncated Cube
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
38 |
6{8}+32{3} |
36 |
36{4} |
72 |
jtC |
| Joined Truncated Cuboctahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
74 |
6{8}+48{3}+12{4}+8{6} |
72 |
72{4} |
144 |
jaD |
| Joined Truncated Dodecahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
92 |
12{10}+80{3} |
90 |
90{4} |
180 |
jtD |
| Joined Truncated Icosahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
92 |
20{6}+60{3}+12{5} |
90 |
90{4} |
180 |
jtI |
| Joined Truncated Icosidodecahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
182 |
30{4}+120{3}+20{6}+12{10} |
180 |
180{4} |
360 |
jteD |
| Joined Truncated Octahedron
|
Y |
dmccooeyArchimedean-Catalan HullsSpace-filling
|
38 |
6{4}+24{3}+8{6} |
36 |
36{4} |
72 |
jtO |
| Joined Truncated Tetrahedron
|
Y |
dmccooeyArchimedean-Catalan Hulls
|
20 |
4{6}+16{3} |
18 |
18{4} |
36 |
jtT |
| jP3
|
|
Hart
|
0 |
|
9 |
9{4} |
7 |
NKjP3 |
| k12dk12dk12dk12P12
|
|
Hart
|
|
|
|
|
|
k12dk12dk12dk12P12 |
| 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 |
| meD
|
|
CW designs
|
|
|
|
|
|
meD |
| 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 Prism
|
|
dmccooeyPrisms
|
16 |
16{3} |
10 |
2{8}+8{4} |
24 |
P8 |
| Octagonal Trapezohedron
|
Y |
dmccooeyDipyramids and Trapezohedra
|
18 |
2{8}+16{3} |
16 |
16{4} |
32 |
dA8 |
| Octahedron
Square Dipyramid
|
Y |
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
6 |
6{4} |
8 |
8{3} |
12 |
O, aY3 |
| Octahemioctahedron
|
Y |
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 |
| pentagonal Antiprism
|
|
dmccooeyAntiprisms
|
10 |
|
12 |
10{3}+2{5} |
20 |
A5 |
| pentagonal Dipyramid
|
|
dmccooeyDipyramids and Trapezohedra
|
7 |
2{5}+5{4} |
10 |
10{3} |
15 |
dP5 |
| pentagonal Hexecontahedron
|
Y |
dmccooeyCatalanchiralisohedron
|
92 |
80{3}+12{5} |
60 |
60{5} |
150 |
gD |
| pentagonal Icositetrahedron
gyroid
|
Y |
dmccooeychiralCatalanisohedron
|
38 |
6{4}+32{3} |
24 |
24{5} |
60 |
gC |
| pentagonal Prism
|
Y |
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 |
| Pentakis Dodecahedron
|
Y |
dmccooeyCatalanisohedronGeodesic Icosahedra
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
kD |
| poI
|
|
CW designs
|
|
|
|
|
|
poI |
| 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)
|
Y |
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)
|
Y |
dmccooeyPropellor
|
86 |
78{4}+8{6} |
96 |
72{4}+24{3} |
180 |
pdtO |
| Propello Truncated Cuboctahedron (canonical)
|
Y |
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 |
| pyD
|
|
CW designs
|
|
|
|
|
|
pyD |
| Rainkis-Hexa
|
|
OBrien
|
|
|
|
|
|
k(h=-0.02)S3k(h=1.0)C |
| Rhombic Dodecahedron
|
Y |
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
|
|
Hart
|
92 |
12{5}+60{3}+20{6} |
90 |
90{4} |
180 |
jtI |
| Rhombic Triacontahedron
|
Y |
dmccooeyCatalanisohedron
|
32 |
12{5}+20{3} |
30 |
30{4} |
60 |
gD |
| Rhombicosidodecahedron
|
Y |
dmccooeyArchimedean
|
60 |
60{4} |
62 |
12{5}+30{4}+20{3} |
120 |
aaD |
| Rhombicuboctahedron
|
Y |
dmccooeyArchimedean
|
24 |
24{4} |
26 |
18{4}+8{3} |
48 |
eO, eC, aaC |
| skkC
|
|
CW designs
|
|
|
|
|
|
skkC |
| Small Dodecahemidodecahedron
|
Y |
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
18 |
6{10}+12{5} |
46 |
k(h=-0.94,fn=[3])aD |
| Small Icosihemidodecahedron
|
Y |
dmccooeyVersi-Regularconcave
|
30 |
30{4} |
26 |
6{10}+20{3} |
54 |
k(5,h=0.5)aD |
| Small Stellated Dodecahedron
Stellated Dodecahedron
|
Y |
dmccooeyKepler-Poinsotconcave
|
12 |
12{5} |
12 |
12{5} |
22 |
k(h=1)D |
| Snub Cube
|
Y |
dmccooeychiralArchimedean
|
24 |
24{5} |
38 |
6{4}+32{3} |
60 |
sC |
| 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 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 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
|
Y |
dmccooeyconcaveOther
|
8 |
8{3} |
8 |
8{3} |
14 |
y0.65O |
| Tetragonal Trapezohedron
|
|
dmccooeyDipyramids and Trapezohedra
|
10 |
2{4}+8{3} |
8 |
8{4} |
16 |
dA4 |
| Tetrahedron
|
Y |
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
4 |
4{3} |
4 |
4{3} |
6 |
T, Y3 |
| Tetrakis Cuboctahedron (canonical)
|
|
dmccooeyDerived
|
18 |
6{4}+12{6} |
32 |
32{3} |
48 |
k4aC |
| Tetrakis Hexahedron
tetrahexahedron
|
Y |
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 |
|
| Triakis Icosahedron
|
Y |
dmccooeyCatalanisohedron
|
32 |
12{10}+20{3} |
60 |
60{3} |
90 |
kI |
| Triakis Octahedron
Small Triakis Octahedron, trisoctahedron
|
Y |
dmccooeyCatalanisohedron
|
14 |
6{8}+8{3} |
24 |
24{3} |
36 |
kO |
| Triakis Tetrahedron
Tristetrahedron
|
Y |
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 |
| Triangular Pyramid
Tetrahedron
|
|
Pyramids
|
|
|
|
|
|
Y3 |
| Triangulated Square Pyramid
|
|
CW designs
|
|
|
|
|
|
vvk4Y4 |
| Trigonal Trapezohedron
Cube
|
|
dmccooeyDipyramids and Trapezohedra
|
8 |
8{3} |
6 |
6{4} |
12 |
dA3 |
| Truncated Cube
|
Y |
dmccooeyArchimedean
|
24 |
24{3} |
14 |
6{8}+8{3} |
36 |
tC |
| Truncated Cuboctahedron
Great Rhombicuboctahedron
|
Y |
dmccooeyArchimedean
|
48 |
48{3} |
26 |
6{8}+8{6}+12{4} |
72 |
NtaC |
| Truncated Disdyakis Dodecahedron
|
Y |
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 Dodecahedron
|
Y |
dmccooeyArchimedean
|
60 |
60{3} |
32 |
12{10}+20{3} |
90 |
tD |
| Truncated Icosahedron
Goldberg(1,1), Soccer Ball, C60 Buckyball
|
Y |
dmccooeyGoldbergArchimedean
|
60 |
60{3} |
32 |
20{6}+12{5} |
90 |
tI |
| Truncated Icosidodecahedron
Great Rhombicosidodecahedron
|
Y |
dmccooeyArchimedean
|
120 |
120{3} |
62 |
12{10}+20{6}+30{4} |
180 |
bD |
| Truncated Octahedron
|
Y |
dmccooeyArchimedeanSpace-filling
|
24 |
24{3} |
14 |
8{6}+6{4} |
36 |
tO |
| Truncated Pentakis Dodecahedron (canonical)
Goldberg(3,0)
|
Y |
dmccooeyGoldbergTruncated CatalanGoldberg
|
180 |
180{3} |
92 |
80{6}+12{5} |
270 |
tkD |
| Truncated Tetrahedron
|
Y |
dmccooeyArchimedean
|
12 |
12{3} |
8 |
4{6}+4{3} |
18 |
tT |
| Truncated Tetrakis Hexahedron (canonical)
|
Y |
dmccooeyTruncated Catalan
|
72 |
72{3} |
38 |
32{6}+6{4} |
108 |
tkC |