Acronym | pentarin |
Name | tesseract atop rectified tesseract |
Circumradius | sqrt[(55+28 sqrt(2))/47] = 1.418705 |
Face vector | 112, 560, 880, 640, 252, 44 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3oo3ox4xo&#x → height = sqrt[8 sqrt(2)-9]/2 = 0.760544
(pent || rin)
o.3o.3o.3o.4o. | 32 * | 5 5 0 | 10 10 5 0 0 | 10 10 10 0 0 | 5 5 10 0 0 | 1 1 5 0
.o3.o3.o3.o4.o | * 80 | 0 2 8 | 0 8 1 12 4 | 0 12 4 8 6 | 0 8 6 2 4 | 0 2 4 1
------------------+-------+------------+------------------+------------------+-----------------+----------
.. .. .. .. x. | 2 0 | 80 * * | 4 0 1 0 0 | 6 0 4 0 0 | 4 0 6 0 0 | 1 0 4 0
oo3oo3oo3oo4oo&#x | 1 1 | * 160 * | 0 4 1 0 0 | 0 6 4 0 0 | 0 4 6 0 0 | 0 1 4 0
.. .. .. .x .. | 0 2 | * * 320 | 0 1 0 3 1 | 0 3 1 3 3 | 0 3 3 1 3 | 0 1 3 1
------------------+-------+------------+------------------+------------------+-----------------+----------
.. .. .. o.4x. | 4 0 | 4 0 0 | 80 * * * * | 3 0 1 0 0 | 3 0 3 0 0 | 1 0 3 0
.. .. .. ox ..&#x | 1 2 | 0 2 1 | * 320 * * * | 0 3 1 0 0 | 0 3 3 0 0 | 0 1 3 0
.. .. .. .. xo&#x | 2 1 | 1 2 0 | * * 80 * * ♦ 0 0 4 0 0 | 0 0 6 0 0 | 0 0 4 0
.. .. .o3.x .. | 0 3 | 0 0 3 | * * * 320 * | 0 1 0 2 1 | 0 2 1 1 2 | 0 1 2 1
.. .. .. .x4.o | 0 4 | 0 0 4 | * * * * 80 | 0 0 1 0 3 | 0 0 3 0 3 | 0 0 3 1
------------------+-------+------------+------------------+------------------+-----------------+----------
.. .. o.3o.4x. ♦ 8 0 | 12 0 0 | 6 0 0 0 0 | 40 * * * * | 2 0 1 0 0 | 1 0 2 0
.. .. oo3ox ..&#x ♦ 1 3 | 0 3 3 | 0 3 0 1 0 | * 320 * * * | 0 2 1 0 0 | 0 1 2 0
.. .. .. ox4xo&#x ♦ 4 4 | 4 8 4 | 1 4 4 0 1 | * * 80 * * | 0 0 3 0 0 | 0 0 3 0
.. .o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * 160 * | 0 1 0 1 1 | 0 1 1 1
.. .. .o3.x4.o ♦ 0 12 | 0 0 24 | 0 0 0 8 6 | * * * * 40 | 0 0 1 0 2 | 0 0 2 1
------------------+-------+------------+------------------+------------------+-----------------+----------
.. o.3o.3o.4x. ♦ 16 0 | 32 0 0 | 24 0 0 0 0 | 8 0 0 0 0 | 10 * * * * | 1 0 1 0
.. oo3oo3ox ..&#x ♦ 1 4 | 0 4 6 | 0 6 0 4 0 | 0 4 0 1 0 | * 160 * * * | 0 1 1 0
.. .. oo3ox4xo&#x ♦ 8 12 | 12 24 24 | 6 24 12 8 6 | 1 8 6 0 1 | * * 40 * * | 0 0 2 0
.o3.o3.o3.x .. ♦ 0 5 | 0 0 10 | 0 0 0 10 0 | 0 0 0 5 0 | * * * 32 * | 0 1 0 1
.. .o3.o3.x4.o ♦ 0 32 | 0 0 96 | 0 0 0 64 24 | 0 0 0 16 8 | * * * * 10 | 0 0 1 1
------------------+-------+------------+------------------+------------------+-----------------+----------
o.3o.3o.3o.4x. ♦ 32 0 | 80 0 0 | 80 0 0 0 0 | 40 0 0 0 0 | 10 0 0 0 0 | 1 * * *
oo3oo3oo3ox ..&#x ♦ 1 5 | 0 5 10 | 0 10 0 10 0 | 0 10 0 5 0 | 0 5 0 1 0 | * 32 * *
.. oo3oo3ox4xo&#x ♦ 16 32 | 32 64 96 | 24 96 32 64 24 | 8 64 24 16 8 | 1 16 8 0 1 | * * 10 *
.o3.o3.o3.x4.o ♦ 0 80 | 0 0 320 | 0 0 0 320 80 | 0 0 0 160 40 | 0 0 0 32 10 | * * * 1
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