v4CCAE

tetrahedron

V=4   E=6   F=4

convex, no coplanar faces · symmetry *332 · Eisenstein: tet 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 tet — 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=4T1 (1,0)v=4T=3 (1,1) v=8T3 (1,1)v=8T=3 (1,1) v=8T=4 (2,0) v=10T4 (2,0)v=10T=7 (2,1) v=16T7 (2,1)v=16T=7 (2,1) v=16T=12 (2,2) v=26T12 (2,2)v=26T=12 (2,2) v=26T=9 (3,0) v=20T9 (3,0)v=20T=13 (3,1) v=28T13 (3,1)v=28T=13 (3,1) v=28T=19 (3,2) v=40T19 (3,2)v=40T=19 (3,2) v=40T=27 (3,3) v=56T27 (3,3)v=56T=27 (3,3) v=56T=16 (4,0) v=34T16 (4,0)v=34T=21 (4,1) v=44T21 (4,1)v=44T=21 (4,1) v=44T=28 (4,2) v=58T28 (4,2)v=58T=28 (4,2) v=58T=37 (4,3) v=76T37 (4,3)v=76T=37 (4,3) v=76T=48 (4,4) v=98T48 (4,4)v=98T=48 (4,4) v=98T=25 (5,0) v=52T25 (5,0)v=52T=31 (5,1) v=64T31 (5,1)v=64T=31 (5,1) v=64T=39 (5,2) v=80T39 (5,2)v=80T=39 (5,2) v=80T=49 (5,3) v=100T49 (5,3)v=100T=49 (5,3) v=100T=61 (5,4)T=61 (5,4)T=75 (5,5) v=152T75 (5,5)v=152T=75 (5,5) v=152T=36 (6,0) v=74T36 (6,0)v=74T=43 (6,1) v=88T43 (6,1)v=88T=43 (6,1) v=88T=52 (6,2) v=106T52 (6,2)v=106T=52 (6,2) v=106T=63 (6,3) v=128T63 (6,3)v=128T=63 (6,3) v=128T=76 (6,4)T=76 (6,4)T=91 (6,5)T=91 (6,5)T=108 (6,6) v=218T108 (6,6)v=218T=108 (6,6) v=218T=49 (7,0) v=100T49 (7,0)v=100T=57 (7,1) v=116T57 (7,1)v=116T=57 (7,1) v=116T=67 (7,2)T=67 (7,2)T=79 (7,3)T=79 (7,3)T=93 (7,4)T=93 (7,4)T=109 (7,5)T=109 (7,5)T=127 (7,6)T=127 (7,6)T=147 (7,7) v=296T147 (7,7)v=296T=147 (7,7) v=296T=64 (8,0) v=130T64 (8,0)v=130T=73 (8,1)T=73 (8,1)T=84 (8,2)T=84 (8,2)T=97 (8,3)T=97 (8,3)T=112 (8,4) v=226T112 (8,4)v=226T=112 (8,4) v=226T=129 (8,5)T=129 (8,5)T=148 (8,6)T=148 (8,6)T=169 (8,7)T=169 (8,7)T=192 (8,8) v=386T192 (8,8)v=386T=192 (8,8) v=386T=81 (9,0) v=164T81 (9,0)v=164T=91 (9,1)T=91 (9,1)T=103 (9,2)T=103 (9,2)T=117 (9,3) v=236T117 (9,3)v=236T=117 (9,3) v=236T=133 (9,4)T=133 (9,4)T=151 (9,5)T=151 (9,5)T=171 (9,6)T=171 (9,6)T=193 (9,7)T=193 (9,7)T=217 (9,8)T=217 (9,8)T=243 (9,9)T=243 (9,9)T=100 (10,0) v=202T100 (10,0)v=202T=111 (10,1)T=111 (10,1)T=124 (10,2)T=124 (10,2)T=139 (10,3)T=139 (10,3)T=156 (10,4)T=156 (10,4)T=175 (10,5) v=352T175 (10,5)v=352T=175 (10,5) v=352T=196 (10,6)T=196 (10,6)T=219 (10,7)T=219 (10,7)T=244 (10,8)T=244 (10,8)T=121 (11,0) v=244T121 (11,0)v=244T=133 (11,1)T=133 (11,1)T=147 (11,2)T=147 (11,2)T=163 (11,3)T=163 (11,3)T=181 (11,4)T=181 (11,4)T=201 (11,5)T=201 (11,5)T=223 (11,6)T=223 (11,6)T=247 (11,7)T=247 (11,7)T=144 (12,0) v=290T144 (12,0)v=290T=157 (12,1)T=157 (12,1)T=172 (12,2)T=172 (12,2)T=189 (12,3)T=189 (12,3)T=208 (12,4) v=418T208 (12,4)v=418T=208 (12,4) v=418T=229 (12,5)T=229 (12,5)T=252 (12,6) v=506T252 (12,6)v=506T=252 (12,6) v=506T=169 (13,0) v=340T169 (13,0)v=340T=183 (13,1)T=183 (13,1)T=199 (13,2)T=199 (13,2)T=217 (13,3)T=217 (13,3)T=237 (13,4)T=237 (13,4)T=196 (14,0) v=394T196 (14,0)v=394T=211 (14,1)T=211 (14,1)T=228 (14,2)T=228 (14,2)T=247 (14,3)T=247 (14,3)T=225 (15,0) v=452T225 (15,0)v=452T=241 (15,1)T=241 (15,1)