Acronym | gadtap |
Name |
great ditetrahedronary prismatochoron, compound of 36 stadidip |
Cross sections |
© |
Coxeter symbol | 6{5,3,3}[36{;10/3,2;10/3}] |
Circumradius | sqrt[3-sqrt(5)] = 0.874032 |
General of army | hi |
Colonel of regiment | gadtaxady |
Confer | regular |
External links |
As abstract polytope gadtap is isomorph to sadtap, thereby replacing decagrams by decagons, resp. stiddip by dip and stadidip by dedip.
Gadtap occurs in 3 different forms depending on whether the vertices (coincident by 6) will be counted separately (type A), or will be identified (type B). Also edges coincide pairwise, which might be identified additionally (type C).
(Type A) 3600 | 4 | 4 2 | 4 || 1 ------+------+----------+-----++--- 2 | 7200 | 2 1 | 3 || 1 ------+------+----------+-----++--- 4 | 4 | 3600 * | 2 || 1 10 | 10 | * 720 | 2 || 1 ------+------+----------+-----++--- ♦ 20 | 30 | 10 2 | 720 || 1 ------+------+----------+-----++--- ♦ 100 | 200 | 100 20 | 20 || 36
(Type B) 600 | 24 | 24 12 | 24 || 6 ------+------+----------+-----++--- 2 | 7200 | 2 1 | 3 || 1 ------+------+----------+-----++--- 4 | 4 | 3600 * | 2 || 1 10 | 10 | * 720 | 2 || 1 ------+------+----------+-----++--- ♦ 20 | 30 | 10 2 | 720 || 1 ------+------+----------+-----++--- ♦ 100 | 200 | 100 20 | 20 || 36
(Type C) 600 | 12 | 24 12 | 24 || 6 ------+------+----------+-----++--- 2 | 3600 | 4 2 | 6 || 2 ------+------+----------+-----++--- 4 | 4 | 3600 * | 2 || 1 10 | 10 | * 720 | 2 || 1 ------+------+----------+-----++--- ♦ 20 | 30 | 10 2 | 720 || 1 ------+------+----------+-----++--- ♦ 100 | 200 | 100 20 | 20 || 36
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