Acronym | trippescu |
Name |
tripod pentagonized semicupola, edge faceting sidtid-0-3-3-3 |
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Circumradius | sqrt(3)/2 = 0.866025 |
Vertex figure | [(3,5)3]/2, [3,4,5], [4,5,4/3,5/4]/0 |
Face vector | 10, 18, 9 |
Confer |
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External links |
This polyhedron is an edge-faceting of the small ditrigonary icosidodecahedron (sidtid).
It should be noted here, that the squares are situated fully within the mirror planes underneath the edges of ike. Accordingly there could be constructed an (centrally hollow) external blend from 20 such self-intersecting polyhedra (20 trippescu), blending out all their squares, cf. the picture at the right (as if one each would be stuck onto each tip of an pseudo f3-gissid).
Incidence matrix according to Dynkin symbol
reduced( oxx3/2ofx&#xt , by {6/2} ) → height(1,2) = 1/sqrt(3) = 0.577350 height(2,3) = (1+sqrt(5))/sqrt(12) = 0.934172 o..3/2o.. | 1 * * | 6 0 0 0 | 3 0 3 [(3,5)3]/2 .o.3/2.o. | * 6 * | 1 1 1 0 | 1 1 1 [3,4,5] ..o3/2..o | * * 3 | 0 0 2 2 | 0 2 2 [4,5,4/3,5/4]/0 ----------------+-------+---------+------ oo.3/2oo.&#x | 1 1 0 | 6 * * * | 1 0 1 .x. ... | 0 2 0 | * 3 * * | 1 1 0 .oo3/2.oo&#x | 0 1 1 | * * 6 * | 0 1 1 ..x ... & | 0 0 2 | * * * 3 | 0 1 1 ----------------+-------+---------+------ ox. ...&#x | 1 2 0 | 2 1 0 0 | 3 * * .xx ...&#x | 0 2 2 | 0 1 2 1 | * 3 * ... ofx&#xt | 1 2 2 | 2 0 2 1 | * * 3
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