42 vertices · neoplatonic solids v42CCCCACCCACCACCACCACACCACACACACACACACACAACCACACACACACACACACAACCAACAACAACAADECAAAE icosidodecahedron
V=42 E=120 F=80
symmetry *532 · Eisenstein: ico T=4 (2,0)
Models can be manipulated.
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=12 T1 (1,0) v=12 T=3 (1,1) v=32 T3 (1,1) v=32 T=3 (1,1) v=32 T=4 (2,0) v=42 T4 (2,0) v=42 T=7 (2,1) v=72 T7 (2,1) v=72 T=7 (2,1) v=72 T=12 (2,2) v=122 T12 (2,2) v=122 T=12 (2,2) v=122 T=9 (3,0) v=92 T9 (3,0) v=92 T=13 (3,1) v=132 T13 (3,1) v=132 T=13 (3,1) v=132 T=19 (3,2) v=192 T19 (3,2) v=192 T=19 (3,2) v=192 T=27 (3,3) v=272 T27 (3,3) v=272 T=27 (3,3) v=272 T=16 (4,0) v=162 T16 (4,0) v=162 T=21 (4,1) v=212 T21 (4,1) v=212 T=21 (4,1) v=212 T=25 (5,0) v=252 T25 (5,0) v=252 
