(at margins)
- between {5} and {5}: arccos(-1/sqrt(5)) = 116.565051°
| Acronym | ... |
| Name | biform compound of 5 dodecahedra |
|
| |
| Circumradius | sqrt[(9+3 sqrt(5))/8] = 1.401259 |
| Edge radius | (3+sqrt(5))/4 = 1.309017 |
| Inradius | sqrt[(25+11 sqrt(5))/40] = 1.113516 |
| Vertex figure | [53], 2[53] |
|
Dihedral angles
(at margins) |
|
| Confer |
As abstract polytopal compound it differs depending on whether the coincident vertices are identified (type A) or not (type B).
Incidence matrix according to Dynkin symbol
(Type A)
20 * | 6 0 | 6 || 2 2[53] compounds
* 60 | 2 1 | 3 || 1 [53]
------+--------+----++--
1 1 | 120 * | 2 || 1
0 2 | * 30 | 2 || 1
------+--------+----++--
2 3 | 4 1 | 60 || 1 {5}
------+--------+----++--
8 12 | 24 6 | 12 || 5 doe
(Type B)
40 * | 3 0 | 3 || 1 coincident pairs of [53]
* 60 | 2 1 | 3 || 1 [53]
------+--------+----++--
1 1 | 120 * | 2 || 1
0 2 | * 30 | 2 || 1
------+--------+----++--
2 3 | 4 1 | 60 || 1 {5}
------+--------+----++--
8 12 | 24 6 | 12 || 5 doe
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