- more general:
- n,sirco-dip
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | squasirco |
| Name | square - small-rhombicuboctahedron duoprism |
| Circumradius | sqrt[7+2 sqrt(2)]/2 = 1.567516 |
| Volume | [12+10 sqrt(2)]/3 = 8.714045 |
| Face vector | 96, 288, 320, 156, 30 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o x3o4x . . . . . | 96 | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2 ----------+----+----------+-------------------+------------------+--------- x . . . . | 2 | 96 * * | 1 2 2 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x . . | 2 | * 96 * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2 . . . . x | 2 | * * 96 | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2 ----------+----+----------+-------------------+------------------+--------- x4o . . . | 4 | 4 0 0 | 24 * * * * * | 2 2 0 0 0 0 | 1 2 1 0 x . x . . | 4 | 2 2 0 | * 96 * * * * | 1 0 1 1 0 0 | 1 1 0 1 x . . . x | 4 | 2 0 2 | * * 96 * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3o . | 3 | 0 3 0 | * * * 32 * * | 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 2 | * * * * 48 * | 0 0 0 2 0 1 | 0 1 0 2 . . . o4x | 4 | 0 0 4 | * * * * * 24 | 0 0 0 0 2 1 | 0 0 1 2 ----------+----+----------+-------------------+------------------+--------- x4o x . . ♦ 8 | 8 4 0 | 2 4 0 0 0 0 | 24 * * * * * | 1 1 0 0 x4o . . x ♦ 8 | 8 0 4 | 2 0 4 0 0 0 | * 24 * * * * | 0 1 1 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 32 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 48 * * | 0 1 0 1 x . . o4x ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 24 * | 0 0 1 1 . . x3o4x ♦ 24 | 0 24 24 | 0 0 0 8 12 6 | * * * * * 4 | 0 0 0 2 ----------+----+----------+-------------------+------------------+--------- x4o x3o . ♦ 12 | 12 12 0 | 3 12 0 4 0 0 | 3 0 4 0 0 0 | 8 * * * x4o x . x ♦ 16 | 16 8 8 | 4 8 8 0 4 0 | 2 2 0 4 0 0 | * 12 * * x4o . o4x ♦ 16 | 16 0 16 | 4 0 16 0 0 4 | 0 4 0 0 4 0 | * * 6 * x . x3o4x ♦ 48 | 24 48 48 | 0 24 24 16 24 12 | 0 0 8 12 6 2 | * * * 4 snubbed forms: s4o2x3o4s
x x x3o4x . . . . . | 96 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x . . . . | 2 | 48 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 48 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 96 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 96 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x . . . | 4 | 2 2 0 0 | 24 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 48 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 48 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 48 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 48 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 32 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 48 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 24 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x x . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 24 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 16 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 24 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 12 * * * * | 0 0 1 1 0 . x x3o . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 16 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 24 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 12 * | 0 0 1 0 1 . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 4 | 0 0 0 1 1 ----------+----+-------------+-------------------------+---------------------------+----------- x x x3o . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 0 | 3 0 2 0 0 2 0 0 0 | 8 * * * * x x x . x ♦ 16 | 8 8 8 8 | 4 4 4 4 4 0 4 0 | 2 2 0 2 0 0 2 0 0 | * 12 * * * x x . o4x ♦ 16 | 8 8 0 16 | 4 0 8 0 8 0 0 4 | 0 4 0 0 2 0 0 2 0 | * * 6 * * x . x3o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 2 * . x x3o4x ♦ 48 | 0 24 48 48 | 0 0 0 24 24 16 24 12 | 0 0 0 0 0 8 12 6 2 | * * * * 2 snubbed forms: x2s2x3o4s
xx xx3oo4xx&#x → height = 1
(sircope || sircope)
o. o.3o.4o. | 48 * | 1 2 2 1 0 0 0 | 2 2 1 2 1 1 2 2 0 0 0 0 0 | 1 2 1 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0
.o .o3.o4.o | * 48 | 0 0 0 1 1 2 2 | 0 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-------+----------------------+----------------------------------------+----------------------------------+-------------
x. .. .. .. | 2 0 | 24 * * * * * * | 2 2 0 0 0 1 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. .. | 2 0 | * 48 * * * * * | 1 0 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * * 48 * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo oo3oo4oo&#x | 1 1 | * * * 48 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 | 0 1 2 1 1 0
.x .. .. .. | 0 2 | * * * * 24 * * | 0 0 0 0 0 1 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 48 * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * * * 48 | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+----------------------+----------------------------------------+----------------------------------+-------------
x. x. .. .. | 4 0 | 2 2 0 0 0 0 0 | 24 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 24 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 16 * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 0 2 2 0 0 0 0 | * * * 24 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.4x. | 4 0 | 0 0 4 0 0 0 0 | * * * * 12 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * * 24 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * * 48 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 48 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * * 24 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 24 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 16 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 24 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o4.x | 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------+----------------------------------------+----------------------------------+-------------
x. x.3o. .. ♦ 6 0 | 3 6 0 0 0 0 0 | 3 0 2 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0
x. x. .. x. ♦ 8 0 | 4 4 4 0 0 0 0 | 2 2 0 2 0 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.4x. ♦ 8 0 | 4 0 8 0 0 0 0 | 0 4 0 0 2 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * | 1 0 0 1 0 0
.. x.3o.4x. ♦ 24 0 | 0 24 24 0 0 0 0 | 0 0 8 12 6 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * * | 1 0 0 0 1 0
xx xx .. ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 1 0 0 0 0 2 2 0 1 0 0 0 0 | * * * * 24 * * * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 24 * * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 0 3 0 0 0 1 0 0 | * * * * * * 16 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 1 0 0 2 2 0 0 0 1 0 | * * * * * * * 24 * * * * * | 0 0 1 0 1 0
.. .. oo4xx&#x ♦ 4 4 | 0 0 4 4 0 0 4 | 0 0 0 0 1 0 0 4 0 0 0 0 1 | * * * * * * * * 12 * * * * | 0 0 0 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * * * 8 * * * | 0 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * * * 12 * * | 0 0 1 0 0 1
.x .. .o4.x ♦ 0 8 | 0 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * * 6 * | 0 0 0 1 0 1
.. .x3.o4.x ♦ 0 24 | 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+----------------------+----------------------------------------+----------------------------------+-------------
x. x.3o.4x. ♦ 48 0 | 24 48 48 0 0 0 0 | 24 24 16 24 12 0 0 0 0 0 0 0 0 | 8 12 6 2 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx xx3oo ..&#x ♦ 6 6 | 3 6 0 6 3 6 0 | 3 0 2 0 0 3 6 0 3 0 2 0 0 | 1 0 0 0 3 0 2 0 0 1 0 0 0 | * 8 * * * *
xx xx .. xx&#x ♦ 8 8 | 4 4 4 8 4 4 4 | 2 2 0 2 0 4 4 4 2 2 0 2 0 | 0 1 0 0 2 2 0 2 0 0 1 0 0 | * * 12 * * *
xx .. oo4xx&#x ♦ 8 8 | 4 0 8 8 4 0 8 | 0 4 0 0 2 4 0 8 0 4 0 0 2 | 0 0 1 0 0 4 0 0 2 0 0 1 0 | * * * 6 * *
.. xx3oo4xx&#x ♦ 24 24 | 0 24 24 24 0 24 24 | 0 0 8 12 6 0 24 24 0 0 8 12 6 | 0 0 0 1 0 0 8 12 6 0 0 0 1 | * * * * 2 *
.x .x3.o4.x ♦ 0 48 | 0 0 0 0 24 48 48 | 0 0 0 0 0 0 0 0 24 24 16 24 12 | 0 0 0 0 0 0 0 0 0 8 12 6 2 | * * * * * 1
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