Acronym | tessarit |
Name | tesseract atop rectified tesseract |
Circumradius | sqrt[(11+5 sqrt(2))/12] = 1.227160 |
Face vector | 48, 192, 240, 120, 26 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3ox4xo&#x → height = sqrt[3(sqrt(2)-1)/2] = 0.788239
(tes || rit)
o.3o.3o.4o. | 16 * ♦ 4 4 0 | 6 6 4 0 0 | 4 4 6 0 0 | 1 1 4 0
.o3.o3.o4.o | * 32 | 0 2 6 | 0 6 1 6 3 | 0 6 3 2 3 | 0 2 3 1
---------------+-------+----------+----------------+--------------+---------
.. .. .. x. | 2 0 | 32 * * | 3 0 1 0 0 | 3 0 3 0 0 | 1 0 3 0
oo3oo3oo4oo&#x | 1 1 | * 64 * | 0 3 1 0 0 | 0 3 3 0 0 | 0 1 3 0
.. .. .x .. | 0 2 | * * 96 | 0 1 0 2 1 | 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------+----------------+--------------+---------
.. .. o.4x. | 4 0 | 4 0 0 | 24 * * * * | 2 0 1 0 0 | 1 0 2 0
.. .. ox ..&#x | 1 2 | 0 2 1 | * 96 * * * | 0 2 1 0 0 | 0 1 2 0
.. .. .. xo&#x | 2 1 | 1 2 0 | * * 32 * * | 0 0 3 0 0 | 0 0 3 0
.. .o3.x .. | 0 3 | 0 0 3 | * * * 64 * | 0 1 0 1 1 | 0 1 1 1
.. .. .x4.o | 0 4 | 0 0 4 | * * * * 24 | 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------+----------------+--------------+---------
.. o.3o.4x. ♦ 8 0 | 12 0 0 | 6 0 0 0 0 | 8 * * * * | 1 0 1 0
.. oo3ox ..&#x ♦ 1 3 | 0 3 3 | 0 3 0 1 0 | * 64 * * * | 0 1 1 0
.. .. ox4xo&#x ♦ 4 4 | 4 8 4 | 1 4 4 0 1 | * * 24 * * | 0 0 2 0
.o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * 16 * | 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 24 | 0 0 0 8 6 | * * * * 8 | 0 0 1 1
---------------+-------+----------+----------------+--------------+---------
o.3o.3o.4x. ♦ 16 0 | 32 0 0 | 24 0 0 0 0 | 8 0 0 0 0 | 1 * * *
oo3oo3ox ..&#x ♦ 1 4 | 0 4 6 | 0 6 0 4 0 | 0 4 0 1 0 | * 16 * *
.. oo3ox4xo&#x ♦ 8 12 | 12 24 24 | 6 24 12 8 6 | 1 8 6 0 1 | * * 8 *
.o3.o3.x4.o ♦ 0 32 | 0 0 96 | 0 0 0 64 24 | 0 0 0 16 8 | * * * 1
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