Acronym | reti (alt.: amti) |
Name | rectified/ambified truncated icosahedron |
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Circumradius | 3 [1+sqrt(5)]/2 = 4.854102 |
Face vector | 90, 180, 92 |
Confer |
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Rectification wrt. a non-regular polytope is meant to be the singular instance of truncations on all vertices at such a depth that the hyperplane intersections on the former edges will coincide (provided such a choice exists). Within the specific case of ti as a pre-image these intersection points might differ on its 2 edge types. Therefore ti cannot be rectified (within this stronger sense). Nonetheless the Conway operator of ambification (chosing the former edge centers generally) clearly is applicable. This would result in 2 different edge sizes in the outcome polyhedron.
Incidence matrix according to Dynkin symbol
do3od5fo&#zh → height = 0 (d happens to be pseudo) (h-laced tegum sum of (d,f)-srid and d-id) o.3o.5o. | 60 * | 2 2 | 1 1 2 .o3.o5.o | * 30 | 0 4 | 0 2 2 -------------+-------+--------+--------- .. .. f. | 2 0 | 60 * | 1 0 1 f oo3oo5oo&#h | 1 1 | * 120 | 0 1 1 h -------------+-------+--------+--------- .. o.5f. | 5 0 | 5 0 | 12 * * f-{5} do3od ..&#zh | 3 3 | 0 6 | * 20 * h-{6} .. .. fo&#h | 2 1 | 1 2 | * * 60 fhh
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