Acronym | ritarico | ||
Name |
rectified-tesseract atop rectified-icositetrachoron, rectified-tesseract-first segment of small-prismated-triacontiditeron | ||
Circumradius | sqrt(7/2) = 1.870829 | ||
Lace city in approx. ASCII-art |
o3x4o o3o4q o3x4o -- o3o3x4o (rit) o3x4o x3x4o x3o4q x3x4o o3x4o -- x3o3x4o (rico) | ||
Lace hyper city in approx. ASCII-art |
| ||
Face vector | 128, 480, 616, 312, 50 | ||
Confer |
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Incidence matrix according to Dynkin symbol
ox3oo3xx4oo&#x → height = 1/sqrt(2) = 0.707107
(rit || rico)
o.3o.3o.4o. | 32 * | 6 3 0 0 | 6 3 3 12 0 0 0 0 | 2 3 1 6 6 6 0 0 0 | 1 2 3 3 0
.o3.o3.o4.o | * 96 | 0 1 2 4 | 0 0 2 4 1 4 2 2 | 0 0 1 4 2 2 2 2 1 | 0 2 2 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
.. .. x. .. | 2 0 | 96 * * * | 2 1 0 2 0 0 0 0 | 1 2 0 1 2 2 0 0 0 | 1 1 1 2 0
oo3oo3oo4oo&#x | 1 1 | * 96 * * | 0 0 2 4 0 0 0 0 | 0 0 1 4 2 2 0 0 0 | 0 2 2 1 0
.x .. .. .. | 0 2 | * * 96 * | 0 0 1 0 1 2 0 0 | 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * 192 | 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
.. o.3x. .. | 3 0 | 3 0 0 0 | 64 * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.4o. | 4 0 | 4 0 0 0 | * 24 * * * * * * | 0 2 0 0 0 2 0 0 0 | 1 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 96 * * * * * | 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. .. xx ..&#x | 2 2 | 1 2 0 1 | * * * 192 * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 3 0 | * * * * 32 * * * | 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * * 96 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * * 64 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 4 | * * * * * * * 48 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
o.3o.3x. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0
.. o.3x.4o. ♦ 12 0 | 24 0 0 0 | 8 6 0 0 0 0 0 0 | * 8 * * * * * * * | 1 0 0 1 0
ox3oo .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 0 3 0 1 0 0 0 | * * 32 * * * * * * | 0 2 0 0 0
ox .. xx ..&#x ♦ 2 4 | 1 4 2 2 | 0 0 2 2 0 1 0 0 | * * * 96 * * * * * | 0 1 1 0 0
.. oo3xx ..&#x ♦ 3 3 | 3 3 0 3 | 1 0 0 3 0 0 1 0 | * * * * 64 * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦ 4 4 | 4 4 0 4 | 0 1 0 4 0 0 0 1 | * * * * * 48 * * * | 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 12 12 | 0 0 0 0 4 6 4 0 | * * * * * * 16 * * | 0 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 4 8 | 0 0 0 0 0 4 0 2 | * * * * * * * 24 * | 0 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 0 24 | 0 0 0 0 0 0 8 6 | * * * * * * * * 8 | 0 0 0 1 1
---------------+-------+--------------+--------------------------+--------------------------+------------
o.3o.3x.4o. ♦ 32 0 | 96 0 0 0 | 64 24 0 0 0 0 0 0 | 16 8 0 0 0 0 0 0 0 | 1 * * * *
ox3oo3xx ..&#x ♦ 4 12 | 6 12 12 12 | 4 0 12 12 4 6 4 0 | 1 0 4 6 4 0 1 0 0 | * 16 * * *
ox .. xx4oo&#x ♦ 4 8 | 4 8 4 8 | 0 1 4 8 0 4 0 2 | 0 0 0 4 0 2 0 1 0 | * * 24 * *
.. oo3xx4oo&#x ♦ 12 12 | 24 12 0 24 | 8 6 0 24 0 0 8 6 | 0 1 0 0 8 6 0 0 1 | * * * 8 *
.x3.o3.x4.o ♦ 0 96 | 0 0 96 192 | 0 0 0 0 32 96 64 48 | 0 0 0 0 0 0 16 24 8 | * * * * 1
ox3oo3xx *b3xx&#x → height = 1/sqrt(2) = 0.707107
(rit || rico)
o.3o.3o. *b3o. | 32 * | 3 3 3 0 0 0 | 3 3 3 3 6 6 0 0 0 0 0 0 | 1 1 3 1 3 3 3 3 6 0 0 0 0 | 1 1 1 3 3 0
.o3.o3.o *b3.o | * 96 | 0 0 1 2 2 2 | 0 0 0 2 2 2 1 2 2 1 1 2 | 0 0 0 1 2 2 1 1 2 1 1 2 1 | 0 1 1 2 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
.. .. x. .. | 2 0 | 48 * * * * * | 2 0 1 0 2 0 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 2 0 0 0 0 | 1 1 0 1 2 0
.. .. .. .x | 2 0 | * 48 * * * * | 0 2 1 0 0 2 0 0 0 0 0 0 | 0 1 2 0 0 1 0 2 2 0 0 0 0 | 1 0 1 1 2 0
oo3oo3oo *b3oo&#x | 1 1 | * * 96 * * * | 0 0 0 2 2 2 0 0 0 0 0 0 | 0 0 0 1 2 2 1 1 2 0 0 0 0 | 0 1 1 2 1 0
.x .. .. .. | 0 2 | * * * 96 * * | 0 0 0 1 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .. .x .. | 0 2 | * * * * 96 * | 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * 96 | 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
.. o.3x. .. | 3 0 | 3 0 0 0 0 0 | 32 * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. o. .. *b3x. | 3 0 | 0 3 0 0 0 0 | * 32 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x. x. | 4 0 | 2 2 0 0 0 0 | * * 24 * * * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * * 96 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. .. xx ..&#x | 2 2 | 1 0 2 0 1 0 | * * * * 96 * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * 96 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * * 32 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * 48 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * 48 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * 32 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .o .. *b3.x | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 32 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
o.3o.3x. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3o. .. *b3x. ♦ 4 0 | 0 6 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * | 1 0 1 0 0 0
.. o.3x. *b3x. ♦ 12 0 | 12 12 0 0 0 0 | 4 4 6 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * | 1 0 0 0 1 0
ox3oo .. ..&#x ♦ 1 3 | 0 0 3 3 0 0 | 0 0 0 3 0 0 1 0 0 0 0 0 | * * * 32 * * * * * * * * * | 0 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 0 2 2 0 0 1 0 0 0 0 | * * * * 48 * * * * * * * * | 0 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 0 2 0 2 0 0 1 0 0 0 | * * * * * 48 * * * * * * * | 0 0 1 1 0 0
.. oo3xx ..&#x ♦ 3 3 | 3 0 3 0 3 0 | 1 0 0 0 3 0 0 0 0 1 0 0 | * * * * * * 32 * * * * * * | 0 1 0 0 1 0
.. oo .. *b3xx&#x ♦ 3 3 | 0 3 3 0 0 3 | 0 1 0 0 0 3 0 0 0 0 1 0 | * * * * * * * 32 * * * * * | 0 0 1 0 1 0
.. .. xx xx&#x ♦ 4 4 | 2 2 4 0 2 2 | 0 0 1 0 2 2 0 0 0 0 0 1 | * * * * * * * * 48 * * * * | 0 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 0 | 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * * 8 * * * | 0 1 0 0 0 1
.x3.o .. *b3.x ♦ 0 12 | 0 0 0 12 0 12 | 0 0 0 0 0 0 4 0 6 0 4 0 | * * * * * * * * * * 8 * * | 0 0 1 0 0 1
.x .. .x .x ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 0 0 2 2 0 0 2 | * * * * * * * * * * * 24 * | 0 0 0 1 0 1
.. .o3.x *b3.x ♦ 0 12 | 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * * * * 8 | 0 0 0 0 1 1
------------------+-------+-------------------+-------------------------------------+----------------------------------+-------------
o.3o.3x. *b3x. ♦ 32 0 | 48 48 0 0 0 0 | 32 32 24 0 0 0 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3oo3xx ..&#x ♦ 4 12 | 6 0 12 12 12 0 | 4 0 0 12 12 0 4 6 0 4 0 0 | 1 0 0 4 6 0 4 0 0 1 0 0 0 | * 8 * * * *
ox3oo .. *b3xx&#x ♦ 4 12 | 0 6 12 12 0 12 | 0 4 0 12 0 12 4 0 6 0 4 0 | 0 1 0 4 0 6 0 4 0 0 1 0 0 | * * 8 * * *
ox .. xx xx&#x ♦ 4 8 | 2 2 8 4 4 4 | 0 0 1 4 4 4 0 2 2 0 0 2 | 0 0 0 0 2 2 0 0 2 0 0 1 0 | * * * 24 * *
.. oo3xx *b3xx&#x ♦ 12 12 | 12 12 12 0 12 12 | 4 4 6 0 12 12 0 0 0 4 4 6 | 0 0 1 0 0 0 4 4 6 0 0 0 1 | * * * * 8 *
.x3.o3.x *b3.x ♦ 0 96 | 0 0 0 96 96 96 | 0 0 0 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 0 0 0 8 8 24 8 | * * * * * 1
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