Zometool polychora


regular polychora


120-cell

Cells: [120 dodecahedra]
Zome: [180 b2 + 200 y2 + 120 r1 + 120 r2 + 330 balls]

600-cell

Cells: [600 tetrahedra]
Zome: [120 b2 + 120 y2 + 72 r1 + 72 r2 + 75 balls]

The 600-cell has the same edge-skeleton as the following polychora:

Icosahedral 120-cell
Cells: [120 icosahedra]

Great 120-cell
Cells: [120 great dodecahedra]

Grand 120-cell
Cells: [120 dodecahedra]


Stellated 120-cell

Cells: [120 small stellated dodecahedra]
Zome: [180 b2 + 360 b3 + 200 y2 + 400 y3 + 180 r1 + 540 r2 + 360 r3 + 405? balls]

However, 60 b2 and 60 corresponding b3 perpendicularly bisect each other. Taking this into account:
Zome (revised): [120 b2 + 120 b2h + 300 b3 + 120 b3h + 200 y2 + 400 y3 + 180 r1 + 540 r2 + 360 r3 + (405? + 60) balls]

Great Stellated 120-cell

Cells: [120 great stellated dodecehedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

The great stellated 120-cell has the same edge-skeleton as the following polychora:

Grand Stellated 120-cell
Cells: [120 small stellated dodecahedra]

Great Icosahedral 120-cell
Cells: [120 great icosahedra]


Great Grand 120-cell

Cells: [120 great dodecehedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

Great Grand Stellated 120-cell

Cells: [120 great stellated dodecehedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

Grand 600-cell

Cells: [600 tetrahedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

uniform polychora


Truncated 120-cell

Cells: [120 truncated dodecahedra, 600 tetrahedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

Truncated 600-cell

Cells: [600 truncated tetrahedra, 120 icosahedra]
Zome: [600 b2 + 720 y2 + 432 r1 + 432 r2 + 780 balls]

Rectified 120-cell

Cells: [120 icosidodecahedra, 600 tetrahedra]
Zome: [480 b2 + 600 y2 + 360 r1 + 360 r2 + 640 balls]

Rectified 600-cell

Cells: [600 octahedra, 120 icosahedra]
Zome: [? b2 + ? y2 + ? r1 + ? r2 + ? balls]

Expanded 120-600-cell

Cells: [120 dodecahedra, 720 pentagonal prisms, 1200 triangular prisms, 600 tetrahedra]
Zome: [960 b2 + 1200 y2 + 720 r1 + 720 r2 + 1260 balls]

Last modified: Sun April 15 22:09:02 2007