- more general:
- n,tic-dip
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | squatic |
| Name | square - truncated-cube duoprism |
| Circumradius | sqrt(2)+1/2 = 1.914214 |
| Volume | (21+14 sqrt(2))/3 = 13.599663 |
| Face vector | 96, 240, 224, 96, 18 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o o3x4x . . . . . | 96 | 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ----------+----+----------+----------------+---------------+------ x . . . . | 2 | 96 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . x . | 2 | * 96 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x | 2 | * * 48 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ----------+----+----------+----------------+---------------+------ x4o . . . | 4 | 4 0 0 | 24 * * * * | 2 1 0 0 0 | 1 2 0 x . . x . | 4 | 2 2 0 | * 96 * * * | 1 0 1 1 0 | 1 1 1 x . . . x | 4 | 2 0 2 | * * 48 * * | 0 1 0 2 0 | 0 2 1 . . o3x . | 3 | 0 3 0 | * * * 32 * | 0 0 2 0 1 | 1 0 2 . . . x4x | 8 | 0 4 4 | * * * * 24 | 0 0 0 2 1 | 0 1 2 ----------+----+----------+----------------+---------------+------ x4o . x . ♦ 8 | 8 4 0 | 2 4 0 0 0 | 24 * * * * | 1 1 0 x4o . . x ♦ 8 | 8 0 4 | 2 0 4 0 0 | * 12 * * * | 0 2 0 x . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 | * * 32 * * | 1 0 1 x . . x4x ♦ 16 | 8 8 8 | 0 4 4 0 2 | * * * 24 * | 0 1 1 . . o3x4x ♦ 24 | 0 24 12 | 0 0 0 8 6 | * * * * 4 | 0 0 2 ----------+----+----------+----------------+---------------+------ x4o o3x . ♦ 12 | 12 12 0 | 3 12 0 4 0 | 3 0 4 0 0 | 8 * * x4o . x4x ♦ 32 | 32 16 16 | 8 16 16 0 4 | 4 4 0 4 0 | * 6 * x . o3x4x ♦ 48 | 24 48 24 | 0 24 12 16 12 | 0 0 8 6 2 | * * 4
x x o3x4x . . . . . | 96 | 1 1 2 1 | 1 2 1 2 1 1 2 | 2 1 1 2 1 2 1 | 1 2 1 1 ----------+----+-------------+----------------------+---------------------+-------- x . . . . | 2 | 48 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 . x . . . | 2 | * 48 * * | 1 0 0 2 1 0 0 | 2 1 0 0 1 2 0 | 1 2 0 1 . . . x . | 2 | * * 96 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1 . . . . x | 2 | * * * 48 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x . . . | 4 | 2 2 0 0 | 24 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 x . . x . | 4 | 2 0 2 0 | * 48 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 x . . . x | 4 | 2 0 0 2 | * * 24 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0 . x . x . | 4 | 0 2 2 0 | * * * 48 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 24 * * | 0 1 0 0 0 2 0 | 0 2 0 1 . . o3x . | 3 | 0 0 3 0 | * * * * * 32 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x4x | 8 | 0 0 4 4 | * * * * * * 24 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x . x . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 24 * * * * * * | 1 1 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 12 * * * * * | 0 2 0 0 x . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 | * * 16 * * * * | 1 0 1 0 x . . x4x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 2 | * * * 12 * * * | 0 1 1 0 . x o3x . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 | * * * * 16 * * | 1 0 0 1 . x . x4x ♦ 16 | 0 8 8 8 | 0 0 0 4 4 0 2 | * * * * * 12 * | 0 1 0 1 . . o3x4x ♦ 24 | 0 0 24 12 | 0 0 0 0 0 8 6 | * * * * * * 4 | 0 0 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x o3x . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 | 3 0 2 0 2 0 0 | 8 * * * x x . x4x ♦ 32 | 16 16 16 16 | 8 8 8 8 8 0 4 | 4 4 0 2 0 2 0 | * 6 * * x . o3x4x ♦ 48 | 24 0 48 24 | 0 24 12 0 0 16 12 | 0 0 8 6 0 0 2 | * * 2 * . x o3x4x ♦ 48 | 0 24 48 24 | 0 0 0 24 12 16 12 | 0 0 0 0 8 6 2 | * * * 2
xx oo3xx4xx&#x → height = 1
(ticcup || ticcup)
o. o.3o.4o. | 48 * | 1 2 1 1 0 0 0 | 2 1 1 2 1 2 1 0 0 0 0 | 1 2 1 2 1 1 2 0 0 0 | 1 1 2 1 0
.o .o3.o4.o | * 48 | 0 0 0 1 1 2 1 | 0 0 0 0 1 2 1 2 1 1 2 | 0 0 0 2 1 1 2 1 2 1 | 0 1 2 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. .. .. .. | 2 0 | 24 * * * * * * | 2 1 0 0 1 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 0 0 | 1 1 2 0 0
.. .. x. .. | 2 0 | * 48 * * * * * | 1 0 1 1 0 1 0 0 0 0 0 | 1 1 1 1 0 1 1 0 0 0 | 1 1 1 1 0
.. .. .. x. | 2 0 | * * 24 * * * * | 0 1 0 2 0 0 1 0 0 0 0 | 0 2 1 0 1 0 2 0 0 0 | 1 0 2 1 0
oo oo3oo4oo&#x | 1 1 | * * * 48 * * * | 0 0 0 0 1 2 1 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 | 0 1 2 1 0
.x .. .. .. | 0 2 | * * * * 24 * * | 0 0 0 0 1 0 0 2 1 0 0 | 0 0 0 2 1 0 0 1 2 0 | 0 1 2 0 1
.. .. .x .. | 0 2 | * * * * * 48 * | 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1
.. .. .. .x | 0 2 | * * * * * * 24 | 0 0 0 0 0 0 1 0 1 0 2 | 0 0 0 0 1 0 2 0 2 1 | 0 0 2 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. .. x. .. | 4 0 | 2 2 0 0 0 0 0 | 24 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 12 * * * * * * * * * | 0 2 0 0 1 0 0 0 0 0 | 1 0 2 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 0 0 | * * 16 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.4x. | 8 0 | 0 4 4 0 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 24 * * * * * * | 0 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * 48 * * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 24 * * * * | 0 0 0 0 1 0 2 0 0 0 | 0 0 2 1 0
.x .. .x .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * 24 * * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * 12 * * | 0 0 0 0 1 0 0 0 2 0 | 0 0 2 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * 16 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.x | 0 8 | 0 0 0 0 0 4 4 | * * * * * * * * * * 12 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. o.3x. .. ♦ 6 0 | 3 6 0 0 0 0 0 | 3 0 2 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0
x. .. x.4x. ♦ 16 0 | 8 8 8 0 0 0 0 | 4 4 0 2 0 0 0 0 0 0 0 | * 6 * * * * * * * * | 1 0 1 0 0
.. o.3x.4x. ♦ 24 0 | 0 24 12 0 0 0 0 | 0 0 8 6 0 0 0 0 0 0 0 | * * 2 * * * * * * * | 1 0 0 1 0
xx .. xx ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 1 0 0 0 2 2 0 1 0 0 0 | * * * 24 * * * * * * | 0 1 1 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 2 0 2 0 1 0 0 | * * * * 12 * * * * * | 0 0 2 0 0
.. oo3xx ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 3 0 0 0 1 0 | * * * * * 16 * * * * | 0 1 0 1 0
.. .. xx4xx&#x ♦ 8 8 | 0 4 4 8 0 4 4 | 0 0 0 1 0 4 4 0 0 0 1 | * * * * * * 12 * * * | 0 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 3 0 2 0 | * * * * * * * 8 * * | 0 1 0 0 1
.x .. .x4.x ♦ 0 16 | 0 0 0 0 8 8 8 | 0 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * 6 * | 0 0 1 0 1
.. .o3.x4.x ♦ 0 24 | 0 0 0 0 0 24 12 | 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. o.3x.4x. ♦ 48 0 | 24 48 24 0 0 0 0 | 24 12 16 12 0 0 0 0 0 0 0 | 8 6 2 0 0 0 0 0 0 0 | 1 * * * *
xx oo3xx ..&#x ♦ 6 6 | 3 6 0 6 3 6 0 | 3 0 2 0 3 6 0 3 0 2 0 | 1 0 0 3 0 2 0 1 0 0 | * 8 * * *
xx .. xx4xx&#x ♦ 16 16 | 8 8 8 16 8 8 8 | 4 4 0 2 8 8 8 4 4 0 2 | 0 1 0 4 4 0 2 0 1 0 | * * 6 * *
.. oo3xx4xx&#x ♦ 24 24 | 0 24 12 24 0 24 12 | 0 0 8 6 0 24 12 0 0 8 6 | 0 0 1 0 0 8 6 0 0 1 | * * * 2 *
.x .o3.x4.x ♦ 0 48 | 0 0 0 0 24 48 24 | 0 0 0 0 0 0 0 24 12 16 12 | 0 0 0 0 0 0 0 8 6 2 | * * * * 1
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