Acronym | ... |
Name |
xo3oo3oo3ox&#q, longer variant of pentachoral antiprism, vertex figure of staf |
Circumradius | sqrt(3)/2 = 0.866025 |
Lace city in approx. ASCII-art |
x3o3o o3o3o o3o3o o3o3x |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Face vector | 10, 40, 80, 80, 32 |
Confer |
Incidence matrix according to Dynkin symbol
xo3oo3oo3ox&#q → height = sqrt(7/5) = 1.183216
(pen || dual pen – with q-lacings)
o.3o.3o.3o. | 5 * ♦ 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0
.o3.o3.o3.o | * 5 ♦ 0 4 4 | 0 6 12 6 | 0 4 12 12 4 | 0 1 4 6 4 1
---------------+-----+----------+-------------+--------------+--------------
x. .. .. .. | 2 0 | 10 * * | 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0
oo3oo3oo3oo&#q | 1 1 | * 20 * | 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0
.. .. .. .x | 0 2 | * * 10 | 0 0 3 3 | 0 0 3 6 3 | 0 0 1 3 3 1
---------------+-----+----------+-------------+--------------+--------------
x.3o. .. .. | 3 0 | 3 0 0 | 10 * * * | 2 2 0 0 0 | 1 2 1 0 0 0
xo .. .. ..&#q | 2 1 | 1 2 0 | * 30 * * | 0 2 2 0 0 | 0 1 2 1 0 0
.. .. .. ox&#q | 1 2 | 0 2 1 | * * 30 * | 0 0 2 2 0 | 0 0 1 2 1 0
.. .. .o3.x | 0 3 | 0 0 3 | * * * 10 | 0 0 0 2 2 | 0 0 0 1 2 1
---------------+-----+----------+-------------+--------------+--------------
x.3o.3o. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | 5 * * * * | 1 1 0 0 0 0
xo3oo .. ..&#q ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 20 * * * | 0 1 1 0 0 0
xo .. .. ox&#q ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 30 * * | 0 0 1 1 0 0
.. .. oo3ox&#q ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 20 * | 0 0 0 1 1 0
.. .o3.o3.x ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 5 | 0 0 0 0 1 1
---------------+-----+----------+-------------+--------------+--------------
x.3o.3o.3o. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 1 * * * * *
xo3oo3oo ..&#q ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * 5 * * * *
xo3oo .. ox&#q ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 | * * 10 * * *
xo .. oo3ox&#q ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * 10 * *
.. oo3oo3ox&#q ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * 5 *
.o3.o3.o3.x ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * 1
or o.3o.3o.3o. & | 10 ♦ 4 4 | 6 18 | 4 16 12 | 1 5 10 -----------------+----+-------+-------+----------+-------- x. .. .. .. & | 2 | 20 * | 3 3 | 3 6 3 | 1 3 4 oo3oo3oo3oo&#q | 2 | * 20 | 0 6 | 0 6 6 | 0 2 6 -----------------+----+-------+-------+----------+-------- x.3o. .. .. & | 3 | 3 0 | 20 * | 2 2 0 | 1 2 1 xo .. .. ..&#q & | 3 | 1 2 | * 60 | 0 2 2 | 0 1 3 -----------------+----+-------+-------+----------+-------- x.3o.3o. .. & ♦ 4 | 6 0 | 4 0 | 10 * * | 1 1 0 xo3oo .. ..&#q & ♦ 4 | 3 3 | 1 3 | * 40 * | 0 1 1 xo .. .. ox&#q ♦ 4 | 2 4 | 0 4 | * * 30 | 0 0 2 -----------------+----+-------+-------+----------+-------- x.3o.3o.3o. & ♦ 5 | 10 0 | 10 0 | 5 0 0 | 2 * * xo3oo3oo ..&#q & ♦ 5 | 6 4 | 4 6 | 1 4 0 | * 10 * xo3oo .. ox&#q & ♦ 5 | 4 6 | 1 9 | 0 2 3 | * * 20
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