ZomeUniform Polyhedra with Zome

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

Click image enlarge Name Nodes Struts Minimum kits needed
Platonic Solids
tetrahedron 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