(phexik is the extremal form of this animation)©
- uniform variant:
- ike
- general polytopal classes:
- partial Stott expansions
| Acronym | phexik |
| Name | partially hexa-expanded icosahedron |
(phexik is the extremal form of this animation) | |
| Vertex figure | [32,h2], [3,H2] |
| Face vector | 24, 42, 20 |
| Confer |
|
The vertex angles of the shield-hexagons {(h,H)3} are h = arccos[-(3-sqrt(5))/sqrt(32)] = 97.761244° resp. H = arccos[-sqrt(5/8)] = 142.238756°.
Incidence matrix according to Dynkin symbol
xBoAfo-2-BoxfoA-2-oxBoAf-&#zx → all heights = 0,
where A=x+1/q = 1.707107, B=f+1/q = 2.325141
o.....-2-o.....-2-o..... & | 12 * | 1 1 2 | 2 2 [32,h2]
...o..-2-...o..-2-...o.. & | * 12 | 0 1 2 | 1 2 [3,H2]
--------------------------------+-------+---------+-----
x..... ...... ...... & | 2 0 | 6 * * | 2 0
o..o..-2-o..o..-2-o..o..-&#x & | 1 1 | * 12 * | 0 2
o....o-2-o....o-2-o....o-&#x & | 1 1 | * * 24 | 1 1
--------------------------------+-------+---------+-----
x....o ...... ...... & | 2 1 | 1 0 2 | 12 * {3}
oooooo-2-oooooo-2-oooooo-&#xr | 3 3 | 0 3 3 | * 8 {(h,H)3}, ring: (142536)
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