Acronym | rojakip |
Name | rectified-icosiheptaheptacontidipeton prism |
Circumradius | sqrt(23/12) = 1.384437 |
Face vector | 432, 4536, 12240, 13680, 7020, 1602, 128 |
Confer |
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Incidence matrix according to Dynkin symbol
x o3x3o3o3o *d3o . . . . . . . | 432 | 1 20 | 20 10 60 | 10 60 30 40 20 | 30 40 20 20 10 10 10 | 20 10 10 10 5 5 2 | 5 5 2 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x . . . . . . | 2 | 216 * ♦ 20 0 0 | 10 60 0 0 0 | 30 40 20 0 0 0 0 | 20 10 10 10 0 0 0 | 5 5 2 0 . . x . . . . | 2 | * 4320 | 1 1 6 | 1 6 6 6 3 | 6 6 3 6 3 2 3 | 6 3 2 3 2 3 1 | 2 3 1 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x . x . . . . | 4 | 2 2 | 2160 * * | 1 6 0 0 0 | 6 6 3 0 0 0 0 | 6 3 2 3 0 0 0 | 2 3 1 0 . o3x . . . . | 3 | 0 3 | * 1440 * | 1 0 6 0 0 | 6 0 0 6 3 0 0 | 6 3 0 0 2 3 0 | 2 3 0 1 . . x3o . . . | 3 | 0 3 | * * 8640 | 0 1 1 2 1 | 1 2 1 2 1 1 2 | 2 1 1 2 1 2 1 | 1 2 1 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x o3x . . . . ♦ 6 | 3 6 | 3 2 0 | 720 * * * * ♦ 6 0 0 0 0 0 0 | 6 3 0 0 0 0 0 | 2 3 0 0 x . x3o . . . ♦ 6 | 3 6 | 3 0 2 | * 4320 * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0 . o3x3o . . . ♦ 6 | 0 12 | 0 4 4 | * * 2160 * * | 1 0 0 2 1 0 0 | 2 1 0 0 1 2 0 | 1 2 0 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 4320 * | 0 1 0 1 0 1 1 | 1 0 1 1 1 1 1 | 1 1 1 1 . . x3o . . *d3o ♦ 4 | 0 6 | 0 0 4 | * * * * 2160 | 0 0 1 0 1 0 2 | 0 1 0 2 0 2 1 | 0 2 1 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x o3x3o . . . ♦ 12 | 6 24 | 12 8 8 | 4 4 2 0 0 | 1080 * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0 x . x3o3o . . ♦ 8 | 4 12 | 6 0 8 | 0 4 0 2 0 | * 2160 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0 x . x3o . . *d3o ♦ 8 | 4 12 | 6 0 8 | 0 4 0 0 2 | * * 1080 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0 . o3x3o3o . . ♦ 10 | 0 30 | 0 10 20 | 0 0 5 5 0 | * * * 864 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . o3x3o . . *d3o ♦ 10 | 0 30 | 0 10 20 | 0 0 5 0 5 | * * * * 432 * * | 0 1 0 0 0 2 0 | 0 2 0 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 0 | * * * * * 864 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . x3o3o . *d3o ♦ 8 | 0 24 | 0 0 32 | 0 0 0 8 8 | * * * * * * 540 | 0 0 0 1 0 1 1 | 0 1 1 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x o3x3o3o . . ♦ 20 | 10 60 | 30 20 40 | 10 20 10 10 0 | 5 5 0 2 0 0 0 | 432 * * * * * * | 1 1 0 0 x o3x3o . . *d3o ♦ 20 | 10 60 | 30 20 40 | 10 20 10 0 10 | 5 0 5 0 2 0 0 | * 216 * * * * * | 0 2 0 0 x . x3o3o3o . ♦ 10 | 5 20 | 10 0 20 | 0 10 0 10 0 | 0 5 0 0 0 2 0 | * * 432 * * * * | 1 0 1 0 x . x3o3o . *d3o ♦ 16 | 8 48 | 24 0 64 | 0 32 0 16 16 | 0 8 8 0 0 0 2 | * * * 270 * * * | 0 1 1 0 . o3x3o3o3o . ♦ 15 | 0 60 | 0 20 60 | 0 0 15 30 0 | 0 0 0 6 0 6 0 | * * * * 144 * * | 1 0 0 1 . o3x3o3o . *d3o ♦ 40 | 0 240 | 0 80 320 | 0 0 80 80 80 | 0 0 0 16 16 0 10 | * * * * * 54 * | 0 1 0 1 . . x3o3o3o *d3o ♦ 16 | 0 80 | 0 0 160 | 0 0 0 80 40 | 0 0 0 0 0 16 10 | * * * * * * 54 | 0 0 1 1 -----------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+----------- x o3x3o3o3o . ♦ 30 | 15 120 | 60 40 120 | 20 60 30 60 0 | 15 30 0 12 0 12 0 | 6 0 6 0 2 0 0 | 72 * * * x o3x3o3o . *d3o ♦ 80 | 40 480 | 240 160 640 | 80 320 160 160 160 | 80 80 80 32 32 0 20 | 16 16 0 10 0 2 0 | * 27 * * x . x3o3o3o *d3o ♦ 32 | 16 160 | 80 0 320 | 0 160 0 160 80 | 0 80 40 0 0 32 20 | 0 0 16 10 0 0 2 | * * 27 * . o3x3o3o3o *d3o ♦ 216 | 0 2160 | 0 720 4320 | 0 0 1080 2160 1080 | 0 0 0 432 216 432 270 | 0 0 0 0 72 27 27 | * * * 2
oo3xx3oo3oo3oo *c3oo&#x → height = 1
(rojak || rojak)
o.3o.3o.3o.3o. *c3o. & | 432 | 20 1 | 10 60 20 | 30 40 20 10 60 | 20 10 10 10 30 40 20 | 5 5 2 20 10 10 10 | 1 5 5 2
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
.. x. .. .. .. .. & | 2 | 4320 * | 1 6 1 | 6 6 3 1 6 | 6 3 2 3 6 6 3 | 2 3 1 6 3 2 3 | 1 2 3 1
oo3oo3oo3oo3oo *c3oo&#x | 2 | * 216 ♦ 0 0 20 | 0 0 0 10 60 | 0 0 0 0 30 40 20 | 0 0 0 20 10 10 10 | 0 5 5 2
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x. .. .. .. .. & | 3 | 3 0 | 1440 * * | 6 0 0 1 0 | 6 3 0 0 6 0 0 | 2 3 0 6 3 0 0 | 1 2 3 0
.. x.3o. .. .. .. & | 3 | 3 0 | * 8640 * | 1 2 1 0 1 | 2 1 1 2 1 2 1 | 1 2 1 2 1 1 2 | 1 1 2 1
.. xx .. .. .. ..&#x | 4 | 2 2 | * * 2160 | 0 0 0 1 6 | 0 0 0 0 6 6 3 | 0 0 0 6 3 2 3 | 0 2 3 1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o. .. .. .. & ♦ 6 | 12 0 | 4 4 0 | 2160 * * * * | 2 1 0 0 1 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.. x.3o.3o. .. .. & ♦ 4 | 6 0 | 0 4 0 | * 4320 * * * | 1 0 1 1 0 1 0 | 1 1 1 1 0 1 1 | 1 1 1 1
.. x.3o. .. .. *c3o. & ♦ 4 | 6 0 | 0 4 0 | * * 2160 * * | 0 1 0 2 0 0 1 | 0 2 1 0 1 0 2 | 1 0 2 1
oo3xx .. .. .. ..&#x ♦ 6 | 6 3 | 2 0 3 | * * * 720 * ♦ 0 0 0 0 6 0 0 | 0 0 0 6 3 0 0 | 0 2 3 0
.. xx3oo .. .. ..&#x ♦ 6 | 6 3 | 0 2 3 | * * * * 4320 | 0 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o. .. .. & ♦ 10 | 30 0 | 10 20 0 | 5 5 0 0 0 | 864 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
o.3x.3o. .. .. *c3o. & ♦ 10 | 30 0 | 10 20 0 | 5 0 5 0 0 | * 432 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.. x.3o.3o.3o. .. & ♦ 5 | 10 0 | 0 10 0 | 0 5 0 0 0 | * * 864 * * * * | 1 0 1 0 0 1 0 | 1 1 0 1
.. x.3o.3o. .. *c3o. & ♦ 8 | 24 0 | 0 32 0 | 0 8 8 0 0 | * * * 540 * * * | 0 1 1 0 0 0 1 | 1 0 1 1
oo3xx3oo .. .. ..&#x ♦ 12 | 24 6 | 8 8 12 | 2 0 0 4 4 | * * * * 1080 * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. xx3oo3oo .. ..&#x ♦ 8 | 12 4 | 0 8 6 | 0 2 0 0 4 | * * * * * 2160 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. xx3oo .. .. *c3oo&#x ♦ 8 | 12 4 | 0 8 6 | 0 0 2 0 4 | * * * * * * 1080 | 0 0 0 0 1 0 2 | 0 0 2 1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o.3o. .. & ♦ 15 | 60 0 | 20 60 0 | 15 30 0 0 0 | 6 0 6 0 0 0 0 | 144 * * * * * * | 1 1 0 0
o.3x.3o.3o. .. *c3o. & ♦ 40 | 240 0 | 80 320 0 | 80 80 80 0 0 | 16 16 0 10 0 0 0 | * 54 * * * * * | 1 0 1 0
.. x.3o.3o.3o. *c3o. & ♦ 16 | 80 0 | 0 160 0 | 0 80 40 0 0 | 0 0 16 10 0 0 0 | * * 54 * * * * | 1 0 0 1
oo3xx3oo3oo .. ..&#x ♦ 20 | 60 10 | 20 40 30 | 10 10 0 10 20 | 2 0 0 0 5 5 0 | * * * 432 * * * | 0 1 1 0
oo3xx3oo .. .. *c3oo&#x ♦ 20 | 60 10 | 20 40 30 | 10 0 10 10 20 | 0 2 0 0 5 0 5 | * * * * 216 * * | 0 0 2 0
.. xx3oo3oo3oo ..&#x ♦ 10 | 20 5 | 0 20 10 | 0 10 0 0 10 | 0 0 2 0 0 5 0 | * * * * * 432 * | 0 1 0 1
.. xx3oo3oo .. *c3oo&#x ♦ 16 | 48 8 | 0 64 24 | 0 16 16 0 32 | 0 0 0 2 0 8 8 | * * * * * * 270 | 0 0 1 1
--------------------------+-----+----------+----------------+-------------------------+--------------------------------+---------------------------+-----------
o.3x.3o.3o.3o. *c3o. & ♦ 216 | 2160 0 | 720 4320 0 | 1080 2160 1080 0 0 | 432 216 432 270 0 0 0 | 72 27 27 0 0 0 0 | 2 * * *
oo3xx3oo3oo3oo ..&#x ♦ 30 | 120 15 | 40 120 60 | 30 60 0 20 60 | 12 0 12 0 15 30 0 | 2 0 0 6 0 6 0 | * 72 * *
oo3xx3oo3oo .. *c3oo&#x ♦ 80 | 480 40 | 160 640 240 | 160 160 160 80 320 | 32 32 0 20 80 80 80 | 0 2 0 16 16 0 10 | * * 27 *
.. xx3oo3oo3oo *c3oo&#x ♦ 32 | 160 16 | 0 320 80 | 0 160 80 0 160 | 0 0 32 20 0 80 40 | 0 0 2 0 0 16 10 | * * * 27
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