Acronym | oappip, K-4.65 |
Name | octagonal-antiprism prism |
Circumradius | sqrt[(5-2 sqrt(2+sqrt[2]))/(8-4 sqrt(2+sqrt[2])) = 1.463603 |
Lace city in approx. ASCII-art |
x8o x8o -- x x8o (op) o8x o8x -- x o8x (gyro op) | | | +-- s2s8s (oap) +-------- s2s8s (oap) |
Face vector | 32, 80, 68, 20 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x s2s8s . demi( . . . ) | 32 | 1 1 1 2 | 1 1 2 1 3 | 1 3 1 ----------------+----+-------------+-------------+------- x demi( . . . ) | 2 | 16 * * * | 1 1 2 0 0 | 1 3 0 . s2s . | 2 | * 16 * * | 1 0 0 0 2 | 0 2 1 . s 2 s | 2 | * * 16 * | 0 1 0 0 2 | 0 2 1 . sefa( . s8s ) | 2 | * * * 32 | 0 0 1 1 1 | 1 1 1 ----------------+----+-------------+-------------+------- x s2s . | 4 | 2 2 0 0 | 8 * * * * | 0 2 0 x s 2 s | 4 | 2 0 2 0 | * 8 * * * | 0 2 0 x sefa( . s8s ) | 4 | 2 0 0 2 | * * 16 * * | 1 1 0 . . s8s ♦ 8 | 0 0 0 8 | * * * 4 * | 1 0 1 . sefa( s2s8s ) | 3 | 0 1 1 1 | * * * * 32 | 0 1 1 ----------------+----+-------------+-------------+------- x . s8s ♦ 16 | 8 0 0 16 | 0 0 8 2 0 | 2 * * x sefa( s2s8s ) ♦ 6 | 3 2 2 2 | 1 1 1 0 2 | * 16 * . s2s8s ♦ 16 | 0 8 8 16 | 0 0 0 2 16 | * * 2
xx xo8ox&#x → height = sqrt[(1+sqrt(2+sqrt[2]))/(2+sqrt(2+sqrt[2]))] = 0.860296
(op || gyro op)
o. o.8o. | 16 * | 1 2 2 0 0 | 2 1 2 2 1 0 0 | 1 2 1 1 0
.o .o8.o | * 16 | 0 0 2 1 2 | 0 0 2 1 2 2 1 | 0 1 2 1 1
------------+-------+--------------+------------------+----------
x. .. .. | 2 0 | 8 * * * * | 2 0 2 0 0 0 0 | 1 2 1 0 0
.. x. .. | 2 0 | * 16 * * * | 1 1 0 1 0 0 0 | 1 1 0 1 0
oo oo8oo&#x | 1 1 | * * 32 * * | 0 0 1 1 1 0 0 | 0 1 1 1 0
.x .. .. | 0 2 | * * * 8 * | 0 0 2 0 0 2 0 | 0 1 2 0 1
.. .x .. | 0 2 | * * * * 16 | 0 0 0 0 1 1 1 | 0 0 1 1 1
------------+-------+--------------+------------------+----------
x. x. .. | 4 0 | 2 2 0 0 0 | 8 * * * * * * | 1 1 0 0 0
.. x.8o. | 8 0 | 0 8 0 0 0 | * 2 * * * * * | 1 0 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * 16 * * * * | 0 1 1 0 0
.. xo ..&#x | 2 1 | 0 1 2 0 0 | * * * 16 * * * | 0 1 0 1 0
.. .. ox&#x | 1 2 | 0 0 2 0 1 | * * * * 16 * * | 0 0 1 1 0
.x .. .x | 0 4 | 0 0 0 2 2 | * * * * * 8 * | 0 0 1 0 1
.. .o8.x | 0 8 | 0 0 0 0 8 | * * * * * * 2 | 0 0 0 1 1
------------+-------+--------------+------------------+----------
x. x.8o. ♦ 16 0 | 8 16 0 0 0 | 8 2 0 0 0 0 0 | 1 * * * *
xx xo ..&#x ♦ 4 2 | 2 2 4 1 0 | 1 0 2 2 0 0 0 | * 8 * * *
xx .. ox&#x ♦ 2 4 | 1 0 4 2 2 | 0 0 2 0 2 1 0 | * * 8 * *
.. xo8ox&#x ♦ 8 8 | 0 8 16 0 8 | 0 1 0 8 8 0 1 | * * * 2 *
.x .o8.x ♦ 0 16 | 0 0 0 8 16 | 0 0 0 0 0 8 2 | * * * * 1
s2s8s || s2s8s → height = 1 (oap || oap) demi( . . . ) | 16 * | 1 1 2 1 0 0 0 | 1 3 1 1 2 0 0 | 1 1 3 0 demi( . . . ) | * 16 | 0 0 0 1 1 1 2 | 0 0 1 1 2 1 3 | 0 1 3 1 ------------------------------+-------+------------------+------------------+--------- s2s . | 2 0 | 8 * * * * * * | 0 2 1 0 0 0 0 | 1 0 1 0 s 2 s | 2 0 | * 8 * * * * * | 0 2 0 1 0 0 0 | 1 0 1 0 sefa( . s8s ) | 2 0 | * * 16 * * * * | 1 1 0 0 1 0 0 | 1 1 1 0 demi( . . . ) || demi( . . . ) | 1 1 | * * * 16 * * * | 0 0 1 1 2 0 0 | 0 1 3 0 s2s . | 0 2 | * * * * 8 * * | 0 0 1 0 0 0 2 | 0 0 2 1 s 2 s | 0 2 | * * * * * 8 * | 0 0 0 1 0 0 2 | 0 0 2 1 sefa( . s8s ) | 0 2 | * * * * * * 16 | 0 0 0 0 1 1 1 | 0 1 1 1 ------------------------------+-------+------------------+------------------+--------- . s8s ♦ 8 0 | 0 0 8 0 0 0 0 | 2 * * * * * * | 1 1 0 0 sefa( s2s8s ) | 3 0 | 1 1 1 0 0 0 0 | * 16 * * * * * | 1 0 1 0 s2s . || s2s . | 2 2 | 1 0 0 2 1 0 0 | * * 8 * * * * | 0 0 2 0 s 2 s || s 2 s | 2 2 | 0 1 0 2 0 1 0 | * * * 8 * * * | 0 0 2 0 sefa( . s8s ) || sefa( . s8s ) | 2 2 | 0 0 1 2 0 0 1 | * * * * 16 * * | 0 1 1 0 . s8s ♦ 0 8 | 0 0 0 0 0 0 8 | * * * * * 2 * | 0 1 0 1 sefa( s2s8s ) | 0 3 | 0 0 0 0 1 1 1 | * * * * * * 16 | 0 0 1 1 ------------------------------+-------+------------------+------------------+--------- s2s8s ♦ 16 0 | 8 8 16 0 0 0 0 | 2 16 0 0 0 0 0 | 1 * * * . s8s || . s8s ♦ 8 8 | 0 0 8 8 0 0 8 | 1 0 0 0 8 1 0 | * 2 * * sefa( s2s8s ) || sefa( s2s8s ) ♦ 3 3 | 1 1 1 3 1 1 1 | 0 1 1 1 1 0 1 | * * 16 * s2s8s ♦ 0 16 | 0 0 0 0 8 8 16 | 0 0 0 0 0 2 16 | * * * 1
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