| Cube
Hexahedron
|
dmccooeyPlatonicisohedronSpace-fillingisotoxal
|
8 |
8{3} |
6 |
6{4} |
12 |
C, jY3 |
| 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 |
| Dodecahedron
Goldberg(0,1)
|
dmccooeyGoldbergPlatonicisohedronisotoxal
|
20 |
20{3} |
12 |
12{5} |
30 |
D, gY3 |
| Icosahedron
|
dmccooeyPlatonicisohedrondeltahedronGeodesic Icosahedraisotoxal
|
12 |
12{5} |
20 |
20{3} |
30 |
I, sY3, k5aY5 |
| Octahedron
Square Dipyramid
|
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
6 |
6{4} |
8 |
8{3} |
12 |
O, aY3 |
| 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 |
| Pentakis Dodecahedron
|
dmccooeyCatalanisohedronGeodesic Icosahedra
|
32 |
20{6}+12{5} |
60 |
60{3} |
90 |
kD |
| Rhombic Dodecahedron
|
dmccooeyCatalanisohedron
|
14 |
6{4}+8{3} |
12 |
12{4} |
24 |
jC |
| Rhombic Triacontahedron
|
dmccooeyCatalanisohedron
|
32 |
12{5}+20{3} |
30 |
30{4} |
60 |
gD |
| Tetrahedron
|
dmccooeyPlatonicisohedrondeltahedronisotoxal
|
4 |
4{3} |
4 |
4{3} |
6 |
T, Y3 |
| Tetrakis Hexahedron
tetrahexahedron
|
dmccooeyCatalanisohedron
|
14 |
6{4}+8{6} |
24 |
24{3} |
36 |
kC |
| 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 |