Acronym | rapaltrarap |
Name | rectified-pentachoron atop alternate (triangle, rectified pentachoron)-duoprism |
Circumradius | sqrt(15)/4 = 0.968246 |
Face vector | 40, 240, 490, 490, 274, 86, 14 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3ox oo3xo3ox3oo&#x → height = 2/sqrt(15) = 0.516398
(rap || alt. trarap)
o.3o. o.3o.3o.3o. | 10 * | 6 9 0 0 | 3 6 9 18 9 0 0 0 0 | 3 2 3 18 9 9 18 3 0 0 0 0 0 | 1 6 3 9 18 3 9 6 0 0 0 0 0 | 3 6 1 9 6 3 0 0 0 | 3 2 3 0
.o3.o .o3.o3.o3.o | * 30 | 0 3 2 6 | 0 0 6 3 6 1 12 6 3 | 0 0 3 6 12 1 6 3 6 12 6 2 3 | 0 3 6 2 12 6 2 3 6 3 4 6 1 | 1 6 3 4 6 1 2 3 2 | 2 3 2 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
.. .. .. x. .. .. | 2 0 | 30 * * * | 1 2 0 3 0 0 0 0 0 | 2 1 0 3 0 3 6 0 0 0 0 0 0 | 1 1 0 3 6 0 6 3 0 0 0 0 0 | 1 2 0 6 3 3 0 0 0 | 2 1 3 0
oo3oo oo3oo3oo3oo&#x | 1 1 | * 90 * * | 0 0 2 2 2 0 0 0 0 | 0 0 1 4 4 1 4 1 0 0 0 0 0 | 0 2 2 2 8 2 2 2 0 0 0 0 0 | 1 4 1 4 4 1 0 0 0 | 2 2 2 0
.. .x .. .. .. .. | 0 2 | * * 30 * | 0 0 3 0 0 1 6 0 0 | 0 0 3 3 6 0 0 0 6 6 3 0 0 | 0 3 6 1 6 3 0 0 6 3 2 3 0 | 1 6 3 2 3 0 2 3 1 | 2 3 1 1
.. .. .. .. .x .. | 0 2 | * * * 90 | 0 0 0 0 1 0 2 2 1 | 0 0 0 0 2 0 2 1 1 4 2 1 2 | 0 0 1 0 4 2 1 2 2 1 2 4 1 | 0 2 1 2 4 1 1 2 2 | 1 2 2 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
.. .. o.3x. .. .. | 3 0 | 3 0 0 0 | 10 * * * * * * * * | 2 0 0 0 0 3 0 0 0 0 0 0 0 | 1 0 0 3 0 0 6 0 0 0 0 0 0 | 1 0 0 6 0 3 0 0 0 | 2 0 3 0
.. .. .. x.3o. .. | 3 0 | 3 0 0 0 | * 20 * * * * * * * | 1 1 0 0 0 0 3 0 0 0 0 0 0 | 1 0 0 0 3 0 3 3 0 0 0 0 0 | 0 1 0 3 3 3 0 0 0 | 1 1 3 0
.. ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 90 * * * * * * | 0 0 1 2 2 0 0 0 0 0 0 0 0 | 0 2 2 1 4 1 0 0 0 0 0 0 0 | 1 4 1 2 2 0 0 0 0 | 2 2 1 0
.. .. .. xo .. ..&#x | 2 1 | 1 2 0 0 | * * * 90 * * * * * | 0 0 0 2 0 1 2 0 0 0 0 0 0 | 0 1 0 2 4 0 2 1 0 0 0 0 0 | 1 2 0 4 2 1 0 0 0 | 2 1 2 0
.. .. .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * * * 90 * * * * | 0 0 0 0 2 0 2 1 0 0 0 0 0 | 0 0 1 0 4 2 1 2 0 0 0 0 0 | 0 2 1 2 4 1 0 0 0 | 1 2 2 0
.o3.x .. .. .. .. | 0 3 | 0 0 3 0 | * * * * * 10 * * * | 0 0 3 0 0 0 0 0 6 0 0 0 0 | 0 3 6 0 0 0 0 0 6 3 0 0 0 | 1 6 3 0 0 0 2 3 0 | 2 3 0 1
.. .x .. .. .x .. | 0 4 | 0 0 2 2 | * * * * * * 90 * * | 0 0 0 0 1 0 0 0 1 2 1 0 0 | 0 0 1 0 2 1 0 0 2 1 1 2 0 | 0 2 1 1 2 0 1 2 1 | 1 2 1 1
.. .. .. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * * * 60 * | 0 0 0 0 0 0 1 0 0 2 0 1 1 | 0 0 0 0 2 0 1 1 1 0 2 2 1 | 0 1 0 2 2 1 1 1 2 | 1 1 2 1
.. .. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * * * 30 | 0 0 0 0 0 0 0 1 0 0 2 0 2 | 0 0 0 0 0 2 0 2 0 1 0 4 1 | 0 0 1 0 4 1 0 2 2 | 0 2 2 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
.. .. o.3x.3o. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * | 1 0 0 0 0 0 3 0 0 0 0 0 0 | 0 0 0 3 0 3 0 0 0 | 1 0 3 0
.. .. .. x.3o.3o. ♦ 4 0 | 6 0 0 0 | 0 4 0 0 0 0 0 0 0 | * 5 * * * * * * * * * * * | 1 0 0 0 0 0 0 3 0 0 0 0 0 | 0 0 0 0 3 3 0 0 0 | 0 1 3 0
oo3ox .. .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 0 3 0 0 1 0 0 0 | * * 30 * * * * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 0 | 2 2 0 0
.. ox .. xo .. ..&#x ♦ 2 2 | 1 4 1 0 | 0 0 2 2 0 0 0 0 0 | * * * 90 * * * * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 0 | 2 1 1 0
.. ox .. .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 0 2 0 1 0 0 | * * * * 90 * * * * * * * * | 0 0 1 0 2 1 0 0 0 0 0 0 0 | 0 2 1 1 2 0 0 0 0 | 1 2 1 0
.. .. oo3xo .. ..&#x ♦ 3 1 | 3 3 0 0 | 1 0 0 3 0 0 0 0 0 | * * * * * 30 * * * * * * * | 0 0 0 2 0 0 2 0 0 0 0 0 0 | 1 0 0 4 0 1 0 0 0 | 2 0 2 0
.. .. .. xo3ox ..&#x ♦ 3 3 | 3 6 0 3 | 0 1 0 3 3 0 0 1 0 | * * * * * * 60 * * * * * * | 0 0 0 0 2 0 1 1 0 0 0 0 0 | 0 1 0 2 2 1 0 0 0 | 1 1 2 0
.. .. .. .. ox3oo&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 0 3 0 0 0 1 | * * * * * * * 30 * * * * * | 0 0 0 0 0 2 0 2 0 0 0 0 0 | 0 0 1 0 4 1 0 0 0 | 0 2 2 0
.o3.x .. .. .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 0 2 3 0 0 | * * * * * * * * 30 * * * * | 0 0 1 0 0 0 0 0 2 1 0 0 0 | 0 2 1 0 0 0 1 2 0 | 1 2 0 1
.. .x .. .o3.x .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 0 | * * * * * * * * * 60 * * * | 0 0 0 0 1 0 0 0 1 0 1 1 0 | 0 1 0 1 1 0 1 1 1 | 1 1 1 1
.. .x .. .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 0 3 0 2 | * * * * * * * * * * 30 * * | 0 0 0 0 0 1 0 0 0 1 0 2 0 | 0 0 1 0 2 0 0 2 1 | 0 2 1 1
.. .. .o3.o3.x .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * 15 * | 0 0 0 0 0 0 1 0 0 0 2 0 1 | 0 0 0 2 0 1 1 0 2 | 1 0 2 1
.. .. .. .o3.x3.o ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * 15 | 0 0 0 0 0 0 0 1 0 0 0 2 1 | 0 0 0 0 2 1 0 1 2 | 0 1 2 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
.. .. o.3x.3o.3o. ♦ 10 0 | 30 0 0 0 | 10 20 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * | 0 0 0 0 0 3 0 0 0 | 0 0 3 0
oo3ox .. xo .. ..&#x ♦ 2 3 | 1 6 3 0 | 0 0 6 3 0 1 0 0 0 | 0 0 2 3 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 | 2 1 0 0
oo3ox .. .. ox ..&#x ♦ 1 6 | 0 6 6 3 | 0 0 6 0 3 2 3 0 0 | 0 0 2 0 3 0 0 0 1 0 0 0 0 | * * 30 * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 | 1 2 0 0
.. ox oo3xo .. ..&#x ♦ 3 2 | 3 6 1 0 | 1 0 3 6 0 0 0 0 0 | 0 0 0 3 0 2 0 0 0 0 0 0 0 | * * * 30 * * * * * * * * * | 1 0 0 2 0 0 0 0 0 | 2 0 1 0
.. ox .. xo3ox ..&#x ♦ 3 6 | 3 12 3 6 | 0 1 6 6 6 0 3 2 0 | 0 0 0 3 3 0 2 0 0 1 0 0 0 | * * * * 60 * * * * * * * * | 0 1 0 1 1 0 0 0 0 | 1 1 1 0
.. ox .. .. ox3oo&#x ♦ 1 6 | 0 6 3 6 | 0 0 3 0 6 0 3 0 2 | 0 0 0 0 3 0 0 2 0 0 1 0 0 | * * * * * 30 * * * * * * * | 0 0 1 0 2 0 0 0 0 | 0 2 1 0
.. .. oo3xo3ox ..&#x ♦ 6 4 | 12 12 0 6 | 4 4 0 12 6 0 0 4 0 | 1 0 0 0 0 4 4 0 0 0 0 1 0 | * * * * * * 15 * * * * * * | 0 0 0 2 0 1 0 0 0 | 1 0 2 0
.. .. .. xo3ox3oo&#x ♦ 4 6 | 6 12 0 12 | 0 4 0 6 12 0 0 4 4 | 0 1 0 0 0 0 4 4 0 0 0 0 1 | * * * * * * * 15 * * * * * | 0 0 0 0 2 1 0 0 0 | 0 1 2 0
.o3.x .. .o3.x .. ♦ 0 9 | 0 0 9 9 | 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 0 0 0 3 3 0 0 0 | * * * * * * * * 20 * * * * | 0 1 0 0 0 0 1 1 0 | 1 1 0 1
.o3.x .. .. .x3.o ♦ 0 9 | 0 0 9 9 | 0 0 0 0 0 3 9 0 3 | 0 0 0 0 0 0 0 0 3 0 3 0 0 | * * * * * * * * * 10 * * * | 0 0 1 0 0 0 0 2 0 | 0 2 0 1
.. .x .o3.o3.x .. ♦ 0 8 | 0 0 4 12 | 0 0 0 0 0 0 6 8 0 | 0 0 0 0 0 0 0 0 0 4 0 2 0 | * * * * * * * * * * 15 * * | 0 0 0 1 0 0 1 0 1 | 1 0 1 1
.. .x .. .o3.x3.o ♦ 0 12 | 0 0 6 24 | 0 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * * * * 15 * | 0 0 0 0 1 0 0 1 1 | 0 1 1 1
.. .. .o3.o3.x3.o ♦ 0 10 | 0 0 0 30 | 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * * 3 | 0 0 0 0 0 1 0 0 2 | 0 0 2 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
oo3ox oo3xo .. ..&#x ♦ 3 3 | 3 9 3 0 | 1 0 9 9 0 1 0 0 0 | 0 0 3 9 0 3 0 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * | 2 0 0 0
oo3ox .. xo3ox ..&#x ♦ 3 9 | 3 18 9 9 | 0 1 18 9 9 3 9 3 0 | 0 0 6 9 9 0 3 0 3 3 0 0 0 | 0 3 3 0 3 0 0 0 1 0 0 0 0 | * 20 * * * * * * * | 1 1 0 0
oo3ox .. .. ox3oo&#x ♦ 1 9 | 0 9 9 9 | 0 0 9 0 9 3 9 0 3 | 0 0 3 0 9 0 0 3 3 0 3 0 0 | 0 0 3 0 0 3 0 0 0 1 0 0 0 | * * 10 * * * * * * | 0 2 0 0
.. ox oo3xo3ox ..&#x ♦ 6 8 | 12 24 4 12 | 4 4 12 24 12 0 6 8 0 | 1 0 0 12 6 8 8 0 0 4 0 2 0 | 0 0 0 4 4 0 2 0 0 0 1 0 0 | * * * 15 * * * * * | 1 0 1 0
.. ox .. xo3ox3oo&#x ♦ 4 12 | 6 24 6 24 | 0 4 12 12 24 0 12 8 8 | 0 1 0 6 12 0 8 8 0 4 4 0 2 | 0 0 0 0 4 4 0 2 0 0 0 1 0 | * * * * 15 * * * * | 0 1 1 0
.. .. oo3xo3ox3oo&#x ♦ 10 10 | 30 30 0 30 | 10 20 0 30 30 0 0 20 10 | 5 5 0 0 0 10 20 10 0 0 0 5 5 | 1 0 0 0 0 0 5 5 0 0 0 0 1 | * * * * * 3 * * * | 0 0 2 0
.o3.x .o3.o3.x .. ♦ 0 12 | 0 0 12 18 | 0 0 0 0 0 4 18 12 0 | 0 0 0 0 0 0 0 0 6 12 0 3 0 | 0 0 0 0 0 0 0 0 4 0 3 0 0 | * * * * * * 5 * * | 1 0 0 1
.o3.x .. .o3.x3.o ♦ 0 18 | 0 0 18 36 | 0 0 0 0 0 6 36 12 12 | 0 0 0 0 0 0 0 0 12 12 12 0 3 | 0 0 0 0 0 0 0 0 4 4 0 3 0 | * * * * * * * 5 * | 0 1 0 1
.. .x .o3.o3.x3.o ♦ 0 20 | 0 0 10 60 | 0 0 0 0 0 0 30 40 20 | 0 0 0 0 0 0 0 0 0 20 10 10 10 | 0 0 0 0 0 0 0 0 0 0 5 5 2 | * * * * * * * * 3 | 0 0 1 1
---------------------+-------+-------------+----------------------------+--------------------------------------+--------------------------------------+------------------------+--------
oo3ox oo3xo3ox ..&#x ♦ 6 12 | 12 36 12 18 | 4 4 36 36 18 4 18 12 0 | 1 0 12 36 18 12 12 0 6 12 0 3 0 | 0 12 6 12 12 0 3 0 4 0 3 0 0 | 4 4 0 3 0 0 1 0 0 | 5 * * *
oo3ox .. xo3ox3oo&#x ♦ 4 18 | 6 36 18 36 | 0 4 36 18 36 6 36 12 12 | 0 1 12 18 36 0 12 12 12 12 12 0 3 | 0 6 12 0 12 12 0 3 4 4 0 3 0 | 0 4 4 0 3 0 0 1 0 | * 5 * *
.. ox oo3xo3ox3oo&#x ♦ 10 20 | 30 60 10 60 | 10 20 30 60 60 0 30 40 20 | 5 5 0 30 30 20 40 20 0 20 10 10 10 | 1 0 0 10 20 10 10 10 0 0 5 5 2 | 0 0 0 5 5 2 0 0 1 | * * 3 *
.o3.x .o3.o3.x3.o ♦ 0 30 | 0 0 30 90 | 0 0 0 0 0 10 90 60 30 | 0 0 0 0 0 0 0 0 30 60 30 15 15 | 0 0 0 0 0 0 0 0 20 10 15 15 3 | 0 0 0 0 0 0 5 5 3 | * * * 1
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