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
uniform relative:
broc  
general polytopal classes:
segmentoexa   lace simplices  

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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