10 vertices · neoplatonic solids v10CCCACACACACACAAE V=10 E=24 F=16
symmetry 22 · Eisenstein: v10x T=1 (1,0)
Models can be manipulated.
ideal to Euclidean, Poincaré
ideal to Euclidean, Klein
Eisenstein family v10x — 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=10 T1 (1,0) v=10 T=3 (1,1) T=3 (1,1) T=4 (2,0) v=34 T4 (2,0) v=34 T=7 (2,1) T=7 (2,1) T=12 (2,2) T=12 (2,2) T=9 (3,0) v=74 T9 (3,0) v=74 T=13 (3,1) T=13 (3,1) T=19 (3,2) T=19 (3,2) T=27 (3,3) T=27 (3,3) T=16 (4,0) v=130 T16 (4,0) v=130 T=21 (4,1) T=21 (4,1) T=28 (4,2) T=28 (4,2) T=37 (4,3) T=37 (4,3) T=48 (4,4) T=48 (4,4) T=25 (5,0) v=202 T25 (5,0) v=202 T=31 (5,1) T=31 (5,1) T=39 (5,2) T=39 (5,2) T=49 (5,3) T=49 (5,3) T=36 (6,0) v=290 T36 (6,0) v=290 T=43 (6,1) T=43 (6,1) T=49 (7,0) v=394 T49 (7,0) v=394 
