Acronym | squarat |
Name | square rectified-triacontiditeron duoprism |
Circumradius | sqrt(3/2) = 1.224745 |
Face vector | 160, 1120, 2600, 2800, 1528, 412, 46 |
Confer |
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Incidence matrix according to Dynkin symbol
x4o o3x3o3o4o . . . . . . . | 160 | 2 12 | 1 12 6 24 | 12 12 48 12 16 | 6 24 24 32 8 2 | 12 16 16 4 1 | 8 2 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x . . . . . . | 2 | 160 * | 1 12 0 0 | 12 6 24 0 0 | 6 24 12 16 0 0 | 12 16 8 2 0 | 8 2 1 . . . x . . . | 2 | * 960 | 0 2 1 4 | 1 2 8 4 4 | 1 4 8 8 4 1 | 4 4 8 2 1 | 4 1 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x4o . . . . . | 4 | 4 0 | 40 * * * ♦ 12 0 0 0 0 | 6 24 0 0 0 0 | 12 16 0 0 0 | 8 2 0 x . . x . . . | 4 | 2 2 | * 960 * * | 1 1 4 0 0 | 1 4 4 4 0 0 | 4 4 4 1 0 | 4 1 1 . . o3x . . . | 3 | 0 3 | * * 320 * | 0 2 0 4 0 | 1 0 8 0 4 0 | 4 0 8 0 1 | 4 0 2 . . . x3o . . | 3 | 0 3 | * * * 1280 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x4o . x . . . ♦ 8 | 8 4 | 2 4 0 0 | 240 * * * * ♦ 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0 x . o3x . . . ♦ 6 | 3 6 | 0 3 2 0 | * 320 * * * | 1 0 4 0 0 0 | 4 0 4 0 0 | 4 0 1 x . . x3o . . ♦ 6 | 3 6 | 0 3 0 2 | * * 1280 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . o3x3o . . ♦ 6 | 0 12 | 0 0 4 4 | * * * 320 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * 640 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x4o o3x . . . ♦ 12 | 12 12 | 3 12 4 0 | 3 4 0 0 0 | 80 * * * * * | 4 0 0 0 0 | 4 0 0 x4o . x3o . . ♦ 12 | 12 12 | 3 12 0 4 | 3 0 4 0 0 | * 320 * * * * | 1 2 0 0 0 | 2 1 0 x . o3x3o . . ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 0 | * * 320 * * * | 1 0 2 0 0 | 2 0 1 x . . x3o3o . ♦ 8 | 4 12 | 0 6 0 8 | 0 0 4 0 2 | * * * 640 * * | 0 1 1 1 0 | 1 1 1 . . o3x3o3o . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 5 5 | * * * * 128 * | 0 0 2 0 1 | 1 0 2 . . . x3o3o4o ♦ 8 | 0 24 | 0 0 0 32 | 0 0 0 0 16 | * * * * * 40 | 0 0 0 2 1 | 0 1 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x4o o3x3o . . ♦ 24 | 24 48 | 6 48 16 16 | 12 16 16 4 0 | 4 4 4 0 0 0 | 80 * * * * | 2 0 0 x4o . x3o3o . ♦ 16 | 16 24 | 4 24 0 16 | 6 0 16 0 4 | 0 4 0 4 0 0 | * 160 * * * | 1 1 0 x . o3x3o3o . ♦ 20 | 10 60 | 0 30 20 40 | 0 10 20 10 10 | 0 0 5 5 2 0 | * * 128 * * | 1 0 1 x . . x3o3o4o ♦ 16 | 8 48 | 0 24 0 64 | 0 0 32 0 32 | 0 0 0 16 0 2 | * * * 40 * | 0 1 1 . . o3x3o3o4o ♦ 40 | 0 240 | 0 0 80 320 | 0 0 0 80 160 | 0 0 0 0 32 10 | * * * * 4 | 0 0 2 --------------+-----+---------+-----------------+----------------------+-----------------------+-----------------+-------- x4o o3x3o3o . ♦ 40 | 40 120 | 10 120 40 80 | 30 40 80 20 20 | 10 20 20 20 4 0 | 5 5 4 0 0 | 32 * * x4o . x3o3o4o ♦ 32 | 32 96 | 8 96 0 128 | 24 0 128 0 64 | 0 32 0 64 0 4 | 0 16 0 4 0 | * 10 * x . o3x3o3o4o ♦ 80 | 40 480 | 0 240 160 640 | 0 80 320 160 320 | 0 0 80 160 64 20 | 0 0 32 10 2 | * * 4
xx oo3xx3oo3oo4oo&#x → height = 1
(ratip || ratip)
o. o.3o.3o.3o.4o. & | 160 | 1 12 1 | 12 6 24 1 12 | 6 24 12 16 12 6 24 | 12 16 8 2 6 24 12 16 | 8 2 1 12 16 8 2 | 1 8 2 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. .. .. .. .. .. & | 2 | 80 * * | 12 0 0 1 0 | 6 24 0 0 12 0 0 | 12 16 0 0 6 24 0 0 | 8 2 0 12 16 0 0 | 1 8 2 0
.. .. x. .. .. .. & | 2 | * 960 * | 1 1 4 0 1 | 1 4 4 4 1 1 4 | 4 4 4 1 1 4 4 4 | 4 1 1 4 4 4 1 | 1 4 1 1
oo oo3oo3oo3oo4oo&#x | 2 | * * 80 | 0 0 0 1 12 | 0 0 0 0 12 6 24 | 0 0 0 0 6 24 12 16 | 0 0 0 12 16 8 2 | 0 8 2 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. .. x. .. .. .. & | 4 | 2 2 0 | 480 * * * * | 1 4 0 0 1 0 0 | 4 4 0 0 1 4 0 0 | 4 1 0 4 4 0 0 | 1 4 1 0
.. o.3x. .. .. .. & | 3 | 0 3 0 | * 320 * * * | 1 0 4 0 0 1 0 | 4 0 4 0 1 0 4 0 | 4 0 1 4 0 4 0 | 1 4 0 1
.. .. x.3o. .. .. & | 3 | 0 3 0 | * * 1280 * * | 0 1 1 2 0 0 1 | 1 2 2 1 0 1 1 2 | 2 1 1 1 2 2 1 | 1 2 1 1
xx .. .. .. .. ..&#x | 4 | 2 0 2 | * * * 40 * ♦ 0 0 0 0 12 0 0 | 0 0 0 0 6 24 0 0 | 0 0 0 12 16 0 0 | 0 8 2 0
.. .. xx .. .. ..&#x | 4 | 0 2 2 | * * * * 480 | 0 0 0 0 1 1 4 | 0 0 0 0 1 4 4 4 | 0 0 0 4 4 4 1 | 0 4 1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x. .. .. .. & ♦ 6 | 3 6 0 | 3 2 0 0 0 | 160 * * * * * * | 4 0 0 0 1 0 0 0 | 4 0 0 4 0 0 0 | 1 4 0 0
x. .. x.3o. .. .. & ♦ 6 | 3 6 0 | 3 0 2 0 0 | * 640 * * * * * | 1 2 0 0 0 1 0 0 | 2 1 0 1 2 0 0 | 1 2 1 0
.. o.3x.3o. .. .. & ♦ 6 | 0 12 0 | 0 4 4 0 0 | * * 320 * * * * | 1 0 2 0 0 0 1 0 | 2 0 1 1 0 2 0 | 1 2 0 1
.. .. x.3o.3o. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 640 * * * | 0 1 1 1 0 0 0 1 | 1 1 1 0 1 1 1 | 1 1 1 1
xx .. xx .. .. ..&#x ♦ 8 | 4 4 4 | 2 0 0 2 2 | * * * * 240 * * ♦ 0 0 0 0 1 4 0 0 | 0 0 0 4 4 0 0 | 0 4 1 0
.. oo3xx .. .. ..&#x ♦ 6 | 0 6 3 | 0 2 0 0 3 | * * * * * 160 * | 0 0 0 0 1 0 4 0 | 0 0 0 4 0 4 0 | 0 4 0 1
.. .. xx3oo .. ..&#x ♦ 6 | 0 6 3 | 0 0 2 0 3 | * * * * * * 640 | 0 0 0 0 0 1 1 2 | 0 0 0 1 2 2 1 | 0 2 1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o. .. .. & ♦ 12 | 6 24 0 | 12 8 8 0 0 | 4 4 2 0 0 0 0 | 160 * * * * * * * | 2 0 0 1 0 0 0 | 1 2 0 0
x. .. x.3o.3o. .. & ♦ 8 | 4 12 0 | 6 0 8 0 0 | 0 4 0 2 0 0 0 | * 320 * * * * * * | 1 1 0 0 1 0 0 | 1 1 1 0
.. o.3x.3o.3o. .. & ♦ 10 | 0 30 0 | 0 10 20 0 0 | 0 0 5 5 0 0 0 | * * 128 * * * * * | 1 0 1 0 0 1 0 | 1 1 0 1
.. .. x.3o.3o.4o. & ♦ 8 | 0 24 0 | 0 0 32 0 0 | 0 0 0 16 0 0 0 | * * * 40 * * * * | 0 1 1 0 0 0 1 | 1 0 1 1
xx oo3xx .. .. ..&#x ♦ 12 | 6 12 6 | 6 4 0 3 6 | 2 0 0 0 3 2 0 | * * * * 80 * * * | 0 0 0 4 0 0 0 | 0 4 0 0
xx .. xx3oo .. ..&#x ♦ 12 | 6 12 6 | 6 0 4 3 6 | 0 2 0 0 3 0 2 | * * * * * 320 * * | 0 0 0 1 2 0 0 | 0 2 1 0
.. oo3xx3oo .. ..&#x ♦ 12 | 0 24 6 | 0 8 8 0 12 | 0 0 2 0 0 4 4 | * * * * * * 160 * | 0 0 0 1 0 2 0 | 0 2 0 1
.. .. xx3oo3oo ..&#x ♦ 8 | 0 12 4 | 0 0 8 0 6 | 0 0 0 2 0 0 4 | * * * * * * * 320 | 0 0 0 0 1 1 1 | 0 1 1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o.3o. .. & ♦ 20 | 10 60 0 | 30 20 40 0 0 | 10 20 10 10 0 0 0 | 5 5 2 0 0 0 0 0 | 64 * * * * * * | 1 1 0 0
x. .. x.3o.3o.4o. & ♦ 16 | 8 48 0 | 24 0 64 0 0 | 0 32 0 32 0 0 0 | 0 16 0 2 0 0 0 0 | * 20 * * * * * | 1 0 1 0
.. o.3x.3o.3o.4o. & ♦ 40 | 0 240 0 | 0 80 320 0 0 | 0 0 80 160 0 0 0 | 0 0 32 10 0 0 0 0 | * * 4 * * * * | 1 0 0 1
xx oo3xx3oo .. ..&#x ♦ 24 | 12 48 12 | 24 16 16 6 24 | 8 8 4 0 12 8 8 | 2 0 0 0 4 4 2 0 | * * * 80 * * * | 0 2 0 0
xx .. xx3oo3oo ..&#x ♦ 16 | 8 24 8 | 12 0 16 4 12 | 0 8 0 4 6 0 8 | 0 2 0 0 0 4 0 2 | * * * * 160 * * | 0 1 1 0
.. oo3xx3oo3oo ..&#x ♦ 20 | 0 60 10 | 0 20 40 0 30 | 0 0 10 10 0 10 20 | 0 0 2 0 0 0 5 5 | * * * * * 64 * | 0 1 0 1
.. .. xx3oo3oo3oo&#x ♦ 16 | 0 48 8 | 0 0 64 0 24 | 0 0 0 32 0 0 32 | 0 0 0 2 0 0 0 16 | * * * * * * 20 | 0 0 1 1
-----------------------+-----+-----------+---------------------+-----------------------------+-------------------------------+----------------------+----------
x. o.3x.3o.3o.4o. & ♦ 80 | 40 480 0 | 240 160 640 0 0 | 80 320 160 320 0 0 0 | 80 160 64 20 0 0 0 0 | 32 10 2 0 0 0 0 | 2 * * *
xx oo3xx3oo3oo ..&#x ♦ 40 | 20 120 20 | 60 40 80 10 60 | 20 40 20 20 30 20 40 | 10 10 4 0 10 20 10 10 | 2 0 0 5 5 2 0 | * 32 * *
xx .. xx3oo3oo3oo&#x ♦ 32 | 16 96 16 | 48 0 128 8 48 | 0 64 0 64 24 0 64 | 0 32 0 4 0 32 0 32 | 0 2 0 0 16 0 2 | * * 10 *
.. oo3xx3oo3oo3oo&#x ♦ 80 | 0 480 40 | 0 160 640 0 240 | 0 0 160 320 0 80 320 | 0 0 64 20 0 0 80 160 | 0 0 2 0 0 32 10 | * * * 2
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