Acronym | gidasid |
Name |
great invertidisnub dodecahedron, compound of 12 starp |
© | |
Circumradius | sqrt[(5-sqrt(5))/8] = 0.587785 |
Vertex figure | [33,5/3] |
External links |
Pentagram planes coincide by pairs. So faces either can be considered separately (type A), or are considered as (general) 2-pentagram-compounds (type B).
Further, instead of considering individual starp, it can likewise be seen as a compound of 6 (general) 2-starp-compounds (type C).
This compound has rotational freedom. At φ = 0° all starp coincide pairwise in a double cover of gissed, else each starp pair rotate in different direction araoud their common axis. For φ = 36° all the 12 starp will be vertex inscribed into a gike.
Gidasid clearly belongs to the same army as gadsid (with full rotational freedom), just as each individual starp belongs to the same army as pap.
(Type A) 120 | 2 2 | 3 1 || 1 -----+---------+--------++--- 2 | 120 * | 1 1 || 1 2 | * 120 | 2 0 || 1 -----+---------+--------++--- 3 | 1 2 | 120 * || 1 5 | 5 0 | * 24 || 1 -----+---------+--------++--- ♦ 10 | 10 10 | 10 2 || 12
(Type B) 120 | 2 2 | 3 1 || 1 -----+---------+--------++--- 2 | 120 * | 1 1 || 1 2 | * 120 | 2 0 || 1 -----+---------+--------++--- 3 | 1 2 | 120 * || 1 10 | 10 0 | * 12 || 2 -----+---------+--------++--- ♦ 10 | 10 10 | 10 2 || 12
(Type C) 120 | 2 2 | 3 1 || 1 ----+---------+--------++-- 2 | 120 * | 1 1 || 1 2 | * 120 | 2 0 || 1 ----+---------+--------++-- 3 | 1 2 | 120 * || 1 5 | 5 0 | * 24 || 1 ----+---------+--------++-- 20 | 20 20 | 20 4 || 6 (2-starp-compounds with rotational freedom)
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