v6CCCACAAE

octahedron; ant3; j1

V=6   E=12   F=8

convex, no coplanar faces · symmetry *432 · Eisenstein: oct 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 oct — 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=6T1 (1,0)v=6T=3 (1,1) v=14T3 (1,1)v=14T=3 (1,1) v=14T=4 (2,0) v=18T4 (2,0)v=18T=7 (2,1) v=30T7 (2,1)v=30T=7 (2,1) v=30T=12 (2,2) v=50T12 (2,2)v=50T=12 (2,2) v=50T=9 (3,0) v=38T9 (3,0)v=38T=13 (3,1) v=54T13 (3,1)v=54T=13 (3,1) v=54T=19 (3,2) v=78T19 (3,2)v=78T=19 (3,2) v=78T=27 (3,3) v=110T27 (3,3)v=110T=27 (3,3) v=110T=16 (4,0) v=66T16 (4,0)v=66T=21 (4,1) v=86T21 (4,1)v=86T=21 (4,1) v=86T=25 (5,0) v=102T25 (5,0)v=102