- more general:
- n,tut-dip
- general polytopal classes:
- Wythoffian polytera segmentotera lace simplices
links
| Acronym | squatut |
| Name | square - truncated-tetrahedron duoprism |
| Circumradius | sqrt(15/8) = 1.369306 |
| Volume | 23 sqrt(2)/12 = 2.710576 |
| Face vector | 48, 120, 116, 54, 12 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o x3x3o . . . . . | 48 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+----+----------+----------------+--------------+------ x . . . . | 2 | 48 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 24 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 48 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+----+----------+----------------+--------------+------ x4o . . . | 4 | 4 0 0 | 12 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 24 * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 48 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 16 * | 0 0 2 0 1 | 1 0 2 . . . x3o | 3 | 0 0 3 | * * * * 16 | 0 0 0 2 1 | 0 1 2 ----------+----+----------+----------------+--------------+------ x4o x . . ♦ 8 | 8 4 0 | 2 4 0 0 0 | 6 * * * * | 2 0 0 x4o . x . ♦ 8 | 8 0 4 | 2 0 4 0 0 | * 12 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 16 * * | 1 0 1 x . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 16 * | 0 1 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 4 | 0 0 2 ----------+----+----------+----------------+--------------+------ x4o x3x . ♦ 24 | 24 12 12 | 6 12 12 4 0 | 3 3 4 0 0 | 4 * * x4o . x3o ♦ 12 | 12 0 12 | 3 0 12 0 4 | 0 3 0 4 0 | * 4 * x . x3x3o ♦ 24 | 12 12 24 | 0 6 12 8 8 | 0 0 4 4 2 | * * 4
x x x3x3o . . . . . | 48 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+----+-------------+----------------------+----------------+-------- x . . . . | 2 | 24 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 24 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 24 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 48 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+----------------------+----------------+-------- x x . . . | 4 | 2 2 0 0 | 12 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 12 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 24 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 12 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 24 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 16 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 16 | 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 | 6 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 12 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 8 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 8 * * * | 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 8 * * | 1 0 0 1 . x . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 2 | * * * * * 8 * | 0 1 0 1 . . x3x3o ♦ 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * 4 | 0 0 1 1 ----------+----+-------------+----------------------+----------------+-------- x x x3x . ♦ 24 | 12 12 12 12 | 6 6 6 6 6 4 0 | 3 3 2 0 2 0 0 | 4 * * * x x . x3o ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 4 | 0 3 0 2 0 2 0 | * 4 * * x . x3x3o ♦ 24 | 12 0 12 24 | 0 6 12 0 0 8 8 | 0 0 4 4 0 0 2 | * * 2 * . x x3x3o ♦ 24 | 0 12 12 24 | 0 0 0 6 12 8 8 | 0 0 0 0 4 4 2 | * * * 2
xx oo3xx3xx&#x → height = 1
(tuttip || tuttip)
o. o.3o.3o. | 24 * | 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.o3.o | * 24 | 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 | 12 * * * * * * | 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 | * 24 * * * * * | 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 | * * 12 * * * * | 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 oo3oo3oo&#x | 1 1 | * * * 24 * * * | 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 | * * * * 12 * * | 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 | * * * * * 24 * | 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 | * * * * * * 12 | 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 | 12 * * * * * * * * * * | 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 | * 6 * * * * * * * * * | 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 | * * 8 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.3x. | 6 0 | 0 3 3 0 0 0 0 | * * * 8 * * * * * * * | 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 | * * * * 12 * * * * * * | 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 | * * * * * 24 * * * * * | 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 | * * * * * * 12 * * * * | 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 | * * * * * * * 12 * * * | 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 | * * * * * * * * 6 * * | 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 | * * * * * * * * * 8 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * 8 | 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 | 4 * * * * * * * * * | 1 1 0 0 0
x. .. x.3x. ♦ 12 0 | 6 6 6 0 0 0 0 | 3 3 0 2 0 0 0 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0
.. o.3x.3x. ♦ 12 0 | 0 12 6 0 0 0 0 | 0 0 4 4 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 | * * * 12 * * * * * * | 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 | * * * * 6 * * * * * | 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 | * * * * * 8 * * * * | 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 0 3 3 6 0 3 3 | 0 0 0 1 0 3 3 0 0 0 1 | * * * * * * 8 * * * | 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 | * * * * * * * 4 * * | 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 3 3 0 2 | * * * * * * * * 4 * | 0 0 1 0 1
.. .o3.x3.x ♦ 0 12 | 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+----------------------+----------------------------+----------------------+----------
x. o.3x.3x. ♦ 24 0 | 12 24 12 0 0 0 0 | 12 6 8 8 0 0 0 0 0 0 0 | 4 4 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 | * 4 * * *
xx .. xx3xx&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 3 3 0 2 6 6 6 3 3 0 2 | 0 1 0 3 3 0 2 0 1 0 | * * 4 * *
.. oo3xx3xx&#x ♦ 12 12 | 0 12 6 12 0 12 6 | 0 0 4 4 0 12 6 0 0 4 4 | 0 0 1 0 0 4 4 0 0 1 | * * * 2 *
.x .o3.x3.x ♦ 0 24 | 0 0 0 0 12 24 12 | 0 0 0 0 0 0 0 12 6 8 8 | 0 0 0 0 0 0 0 4 4 2 | * * * * 1
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