Zome can be used to build many polyhedra, including the Platonic, Archimedean, and Kepler-Poinsot solids.
Strut legend: B=Blue, BG=BlueGreen, G=Green, Y=Yellow, R=Red; B2=next size of strut
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| Name
| Nodes
| Struts
| Minimum kits needed
|
| Platonic Solids
|
| tetrahedron {3,3}
| 4
| 6 G
| Greenlines
|
| hexahedron {4,3}
| 8
| 12 B
| Pioneer or Buckyball
|
| octahedron {3,4}
| 6
| 12 G
| Greenlines
|
| dodecahedron {5,3}
| 20
| 30 B
| Adventurer or Buckyball
|
| icosahedron {3,5}
| 12
| 30 B
| Adventurer or Buckyball
|
| Kepler-Poinsot Solids
|
| great dodecahedron edge only
| 12
| 30 B
| Adventurer or Buckyball
|
| edge and intersections
| 22
| 60 B, 30 B2
| Explorer or Adventurer+Buckyball
|
| great icosahedron edge only
| 32
| 30 B, 60 B2
| Explorer
|
| stellated dodecahedron
| 32
| 30 B, 60 B2
| Explorer
|
| great stellated dodecahedron
| 32
| 30 B, 60 B2
| Explorer
|
| Archimedean Solids
|
| truncated tetrahedron (3,6,6)
| 12
| 18 G
| Greenlines
|
| cuboctahedron (3,4,3,4)
| 12
| 24 G
| Greenlines
|
| truncated hexahedron (3,8,8)
| 24
| 12 B, 24 BG
| Greenlines
|
| truncated octahedron (4,6,6)
| 24
| 36 G
| Greenlines
|
| rhombicuboctahedron (3,4,4,4)
| 24
| 24 B, 24 BG
| Pioneer+Greenlines
|
| great rhombicuboctahedron (4,6,8) aka truncated cuboctahedron
| 48
| 24 B, 48 BG
| Pioneer+Greenlines
|
| icosidodecahedron (3,5,3,5)
| 30
| 60 B
| Explorer or Buckyball
|
| truncated dodecahedron (3,10,10)
| 60
| 90 B
| Explorer+Adventurer or Buckyball
|
| truncated icosahedron (5,6,6)
| 60
| 90 B
| Explorer+Adventurer or Buckyball
|
| rhombicosidodecahedron (3,4,5,4)
| 60
| 120 B
| Creator or Adventurer+Buckyball
|
| great rhombicosidodecahedron (4,6,10) aka truncated icosidodecahedron
| 120
| 180 B
| Creator+Buckyball or 2 Buckyball
|
| Archimedean Duals
|
| rhombic dodecahedron
| 14
| 24 Y
| Explorer
|
| rhombic triacontahedron
| 32
| 60 R
| Creator+Adventurer
|
| Nested Platonic Solids
|
| cosmogram
| 38
| 30 B1, 30 B2, 12 B3, 12 HG1, 12 HG2, 12 HG3
| Adventurer + half-greens
building instructions
|
| pythagopod
| 68
| 12 B3, 24 HG3, 60 HB2, and 60 HB3
| Explorer + half-greens + half-blues
building instructions
|