Acronym | tigid |
TOCID symbol | tE |
Name | truncated great dodecahedron |
© © | |
Circumradius | sqrt[(17+5 sqrt(5))/8] = 1.876844 |
Vertex figure | [5/2,102] |
General of army | f3x5o |
Colonel of regiment | (is itself locally convex – no other uniform polyhedral members) |
Dihedral angles |
|
Face vector | 60, 90, 24 |
Confer |
|
External links |
As abstract polytope tigid is isomorphic to quit sissid, thereby replacing pentagrams by pentagons and decagons by decagrams.
Note that tigid can be thought of as the external blend of 1 gad + 12 pecues + 12 stappies. This decomposition is described as the degenerate segmentochoron xx5ox5/2oo&#xt.
Incidence matrix according to Dynkin symbol
o5/2x5x . . . | 60 | 2 1 | 1 2 --------+----+-------+------ . x . | 2 | 60 * | 1 1 . . x | 2 | * 30 | 0 2 --------+----+-------+------ o5/2x . | 5 | 5 0 | 12 * . x5x | 10 | 5 5 | * 12 snubbed forms: o5/2β5x, o5/2x5β, o5/2β5β
o5/3x5x . . . | 60 | 2 1 | 1 2 --------+----+-------+------ . x . | 2 | 60 * | 1 1 . . x | 2 | * 30 | 0 2 --------+----+-------+------ o5/3x . | 5 | 5 0 | 12 * . x5x | 10 | 5 5 | * 12
© 2004-2024 | top of page |