v12CCCCACCACACACAACAAAE

icosahedron; ant5; j11; j62; j63

V=12   E=30   F=20

convex, no coplanar faces · symmetry *532 · Eisenstein: ico T=1 (1,0)

Models can be manipulated.

Euclidean
ideal to Euclidean, Poincaré
ideal to Euclidean, Klein
ideal net
ideal net
CLERS colored
CLERS layout
CLERS layout

Eisenstein family ico — red this net, blue ancestors, green descendants, grey cousins; mirror sector below the axis (reflections lumped); dashed ray = the Z-multiples. · family map, from the unit’s point of view

T=1 (1,0) v=12T1 (1,0)v=12T=3 (1,1) v=32T3 (1,1)v=32T=3 (1,1) v=32T=4 (2,0) v=42T4 (2,0)v=42T=7 (2,1) v=72T7 (2,1)v=72T=7 (2,1) v=72T=12 (2,2) v=122T12 (2,2)v=122T=12 (2,2) v=122T=9 (3,0) v=92T9 (3,0)v=92T=13 (3,1) v=132T13 (3,1)v=132T=13 (3,1) v=132T=19 (3,2) v=192T19 (3,2)v=192T=19 (3,2) v=192T=27 (3,3) v=272T27 (3,3)v=272T=27 (3,3) v=272T=16 (4,0) v=162T16 (4,0)v=162T=21 (4,1) v=212T21 (4,1)v=212T=21 (4,1) v=212T=25 (5,0) v=252T25 (5,0)v=252