Acronym | oap, 8-ap |
Name | octagonal antiprism |
Circumradius | sqrt[(3-sqrt{2+sqrt(2)})/(8-4 sqrt{2+sqrt(2)})] = 1.375549 |
Vertex figure | [33,8] |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles |
|
Face vector | 16, 32, 18 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
s2s8s demi( . . . ) | 16 | 1 1 2 | 1 3 ---------------+----+--------+----- s2s . | 2 | 8 * * | 0 2 s . s2*a | 2 | * 8 * | 0 2 sefa( . s8s ) | 2 | * * 16 | 1 1 ---------------+----+--------+----- . s8s ♦ 8 | 0 0 8 | 2 * sefa( s2s8s ) | 3 | 1 1 1 | * 16
s2s16o demi( . . . ) | 16 | 2 2 | 1 3 ---------------+----+-------+----- s2s . | 2 | 16 * | 0 2 sefa( . s16o ) | 2 | * 16 | 1 1 ---------------+----+-------+----- . s16o ♦ 8 | 0 8 | 2 * sefa( s2s16o ) | 3 | 2 1 | * 16
xo8ox&#x → height = sqrt[(1+sqrt(2+sqrt(2)))/(2+sqrt(2+sqrt(2)))] = 0.860296
({8} || dual {8})
o.8o. | 8 * | 2 2 0 | 1 2 1 0
.o8.o | * 8 | 0 2 2 | 0 1 2 1
---------+-----+--------+--------
x. .. | 2 0 | 8 * * | 1 1 0 0
oo8oo&#x | 1 1 | * 16 * | 0 1 1 0
.. .x | 0 2 | * * 8 | 0 0 1 1
---------+-----+--------+--------
x.8o. | 8 0 | 8 0 0 | 1 * * *
xo ..&#x | 2 1 | 1 2 0 | * 8 * *
.. ox&#x | 1 2 | 0 2 1 | * * 8 *
.o8.x | 0 8 | 0 0 8 | * * * 1
snubbed forms: so8ox&#x
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