Acronym grippip
Name great-rhombated-pentachoron prism
Circumradius sqrt(73/20) = 1.910497
Face vector 120, 300, 280, 120, 22
Confer
general polytopal classes:
Wythoffian polytera   segmentotera   lace simplices  
External
links
polytopewiki  

Incidence matrix according to Dynkin symbol

x x3x3x3o

. . . . . | 120 |  1  1  1   2 |  1  1  2  1  2  2  1 |  1  2  2  1  2  1  1 | 2  1 1 1
----------+-----+--------------+----------------------+----------------------+---------
x . . . . |   2 | 60  *  *   * |  1  1  2  0  0  0  0 |  1  2  2  1  0  0  0 | 2  1 1 0
. x . . . |   2 |  * 60  *   * |  1  0  0  1  2  0  0 |  1  2  0  0  2  1  0 | 2  1 0 1
. . x . . |   2 |  *  * 60   * |  0  1  0  1  0  2  0 |  1  0  2  0  2  0  1 | 2  0 1 1
. . . x . |   2 |  *  *  * 120 |  0  0  1  0  1  1  1 |  0  1  1  1  1  1  1 | 1  1 1 1
----------+-----+--------------+----------------------+----------------------+---------
x x . . . |   4 |  2  2  0   0 | 30  *  *  *  *  *  * |  1  2  0  0  0  0  0 | 2  1 0 0
x . x . . |   4 |  2  0  2   0 |  * 30  *  *  *  *  * |  1  0  2  0  0  0  0 | 2  0 1 0
x . . x . |   4 |  2  0  0   2 |  *  * 60  *  *  *  * |  0  1  1  1  0  0  0 | 1  1 1 0
. x3x . . |   6 |  0  3  3   0 |  *  *  * 20  *  *  * |  1  0  0  0  2  0  0 | 2  0 0 1
. x . x . |   4 |  0  2  0   2 |  *  *  *  * 60  *  * |  0  1  0  0  1  1  0 | 1  1 0 1
. . x3x . |   6 |  0  0  3   3 |  *  *  *  *  * 40  * |  0  0  1  0  1  0  1 | 1  0 1 1
. . . x3o |   3 |  0  0  0   3 |  *  *  *  *  *  * 40 |  0  0  0  1  0  1  1 | 0  1 1 1
----------+-----+--------------+----------------------+----------------------+---------
x x3x . .   12 |  6  6  6   0 |  3  3  0  2  0  0  0 | 10  *  *  *  *  *  * | 2  0 0 0
x x . x .    8 |  4  4  0   4 |  2  0  2  0  2  0  0 |  * 30  *  *  *  *  * | 1  1 0 0
x . x3x .   12 |  6  0  6   6 |  0  3  3  0  0  2  0 |  *  * 20  *  *  *  * | 1  0 1 0
x . . x3o    6 |  3  0  0   6 |  0  0  3  0  0  0  2 |  *  *  * 20  *  *  * | 0  1 1 0
. x3x3x .   24 |  0 12 12  12 |  0  0  0  4  6  4  0 |  *  *  *  * 10  *  * | 1  0 0 1
. x . x3o    6 |  0  3  0   6 |  0  0  0  0  3  0  2 |  *  *  *  *  * 20  * | 0  1 0 1
. . x3x3o   12 |  0  0  6  12 |  0  0  0  0  0  4  4 |  *  *  *  *  *  * 10 | 0  0 1 1
----------+-----+--------------+----------------------+----------------------+---------
x x3x3x .   48 | 24 24 24  24 | 12 12 12  8 12  8  0 |  4  6  4  0  2  0  0 | 5  * * *
x x . x3o   12 |  6  6  0  12 |  3  0  6  0  6  0  4 |  0  3  0  2  0  2  0 | * 10 * *
x . x3x3o   24 | 12  0 12  24 |  0  6 12  0  0  8  8 |  0  0  4  4  0  0  2 | *  * 5 *
. x3x3x3o   60 |  0 30 30  60 |  0  0  0 10 30 20 20 |  0  0  0  0  5 10  5 | *  * * 2

xx3xx3xx3oo&#x   → height = 1
(grip || grip)

o.3o.3o.3o.    | 60  * |  1  1  2  1  0  0  0 |  1  2  2  1  1  1  2  0  0  0  0 | 2  1 1  1  2  2  1 0  0 0 | 1 2  1 1 0
.o3.o3.o3.o    |  * 60 |  0  0  0  1  1  1  2 |  0  0  0  0  1  1  2  1  2  2  1 | 0  0 0  1  2  2  1 2  1 1 | 0 2  1 1 1
---------------+-------+----------------------+----------------------------------+---------------------------+-----------
x. .. .. ..    |  2  0 | 30  *  *  *  *  *  * |  1  2  0  0  1  0  0  0  0  0  0 | 2  1 0  1  2  0  0 0  0 0 | 1 2  1 0 0
.. x. .. ..    |  2  0 |  * 30  *  *  *  *  * |  1  0  2  0  0  1  0  0  0  0  0 | 2  0 1  1  0  2  0 0  0 0 | 1 2  0 1 0
.. .. x. ..    |  2  0 |  *  * 60  *  *  *  * |  0  1  1  1  0  0  1  0  0  0  0 | 1  1 1  0  1  1  1 0  0 0 | 1 1  1 1 0
oo3oo3oo3oo&#x |  1  1 |  *  *  * 60  *  *  * |  0  0  0  0  1  1  2  0  0  0  0 | 0  0 0  1  2  2  1 0  0 0 | 0 2  1 1 0
.x .. .. ..    |  0  2 |  *  *  *  * 30  *  * |  0  0  0  0  1  0  0  1  2  0  0 | 0  0 0  1  2  0  0 2  1 0 | 0 2  1 0 1
.. .x .. ..    |  0  2 |  *  *  *  *  * 30  * |  0  0  0  0  0  1  0  1  0  2  0 | 0  0 0  1  0  2  0 2  0 1 | 0 2  0 1 1
.. .. .x ..    |  0  2 |  *  *  *  *  *  * 60 |  0  0  0  0  0  0  1  0  1  1  1 | 0  0 0  0  1  1  1 1  1 1 | 0 1  1 1 1
---------------+-------+----------------------+----------------------------------+---------------------------+-----------
x.3x. .. ..    |  6  0 |  3  3  0  0  0  0  0 | 10  *  *  *  *  *  *  *  *  *  * | 2  0 0  1  0  0  0 0  0 0 | 1 2  0 0 0
x. .. x. ..    |  4  0 |  2  0  2  0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  * | 1  1 0  0  1  0  0 0  0 0 | 1 1  1 0 0
.. x.3x. ..    |  6  0 |  0  3  3  0  0  0  0 |  *  * 20  *  *  *  *  *  *  *  * | 1  0 1  0  0  1  0 0  0 0 | 1 1  0 1 0
.. .. x.3o.    |  3  0 |  0  0  3  0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  * | 0  1 1  0  0  0  1 0  0 0 | 1 0  1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0  2  1  0  0 |  *  *  *  * 30  *  *  *  *  *  * | 0  0 0  1  2  0  0 0  0 0 | 0 2  1 0 0
.. xx .. ..&#x |  2  2 |  0  1  0  2  0  1  0 |  *  *  *  *  * 30  *  *  *  *  * | 0  0 0  1  0  2  0 0  0 0 | 0 2  0 1 0
.. .. xx ..&#x |  2  2 |  0  0  1  2  0  0  1 |  *  *  *  *  *  * 60  *  *  *  * | 0  0 0  0  1  1  1 0  0 0 | 0 1  1 1 0
.x3.x .. ..    |  0  6 |  0  0  0  0  3  3  0 |  *  *  *  *  *  *  * 10  *  *  * | 0  0 0  1  0  0  0 2  0 0 | 0 2  0 0 1
.x .. .x ..    |  0  4 |  0  0  0  0  2  0  2 |  *  *  *  *  *  *  *  * 30  *  * | 0  0 0  0  1  0  0 1  1 0 | 0 1  1 0 1
.. .x3.x ..    |  0  6 |  0  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  * 20  * | 0  0 0  0  0  1  0 1  0 1 | 0 1  0 1 1
.. .. .x3.o    |  0  3 |  0  0  0  0  0  0  3 |  *  *  *  *  *  *  *  *  *  * 20 | 0  0 0  0  0  0  1 0  1 1 | 0 0  1 1 1
---------------+-------+----------------------+----------------------------------+---------------------------+-----------
x.3x.3x. ..     24  0 | 12 12 12  0  0  0  0 |  4  6  4  0  0  0  0  0  0  0  0 | 5  * *  *  *  *  * *  * * | 1 1  0 0 0
x. .. x.3o.      6  0 |  3  0  6  0  0  0  0 |  0  3  0  2  0  0  0  0  0  0  0 | * 10 *  *  *  *  * *  * * | 1 0  1 0 0
.. x.3x.3o.     12  0 |  0  6 12  0  0  0  0 |  0  0  4  4  0  0  0  0  0  0  0 | *  * 5  *  *  *  * *  * * | 1 0  0 1 0
xx3xx .. ..&#x   6  6 |  3  3  0  6  3  3  0 |  1  0  0  0  3  3  0  1  0  0  0 | *  * * 10  *  *  * *  * * | 0 2  0 0 0
xx .. xx ..&#x   4  4 |  2  0  2  4  2  0  2 |  0  1  0  0  2  0  2  0  1  0  0 | *  * *  * 30  *  * *  * * | 0 1  1 0 0
.. xx3xx ..&#x   6  6 |  0  3  3  6  0  3  3 |  0  0  1  0  0  3  3  0  0  1  0 | *  * *  *  * 20  * *  * * | 0 1  0 1 0
.. .. xx3oo&#x   3  3 |  0  0  3  3  0  0  3 |  0  0  0  1  0  0  3  0  0  0  1 | *  * *  *  *  * 20 *  * * | 0 0  1 1 0
.x3.x3.x ..      0 24 |  0  0  0  0 12 12 12 |  0  0  0  0  0  0  0  4  6  4  0 | *  * *  *  *  *  * 5  * * | 0 1  0 0 1
.x .. .x3.o      0  6 |  0  0  0  0  3  0  6 |  0  0  0  0  0  0  0  0  3  0  2 | *  * *  *  *  *  * * 10 * | 0 0  1 0 1
.. .x3.x3.o      0 12 |  0  0  0  0  0  6 12 |  0  0  0  0  0  0  0  0  0  4  4 | *  * *  *  *  *  * *  * 5 | 0 0  0 1 1
---------------+-------+----------------------+----------------------------------+---------------------------+-----------
x.3x.3x.3o.     60  0 | 30 30 60  0  0  0  0 | 10 30 20 20  0  0  0  0  0  0  0 | 5 10 5  0  0  0  0 0  0 0 | 1 *  * * *
xx3xx3xx ..&#x  24 24 | 12 12 12 24 12 12 12 |  4  6  4  0 12 12 12  4  6  4  0 | 1  0 0  4  6  4  0 1  0 0 | * 5  * * *
xx .. xx3oo&#x   6  6 |  3  0  6  6  3  0  6 |  0  3  0  2  3  0  6  0  3  0  2 | 0  1 0  0  3  0  2 0  1 0 | * * 10 * *
.. xx3xx3oo&#x  12 12 |  0  6 12 12  0  6 12 |  0  0  4  4  0  6 12  0  0  4  4 | 0  0 1  0  0  4  4 0  0 1 | * *  * 5 *
.x3.x3.x3.o      0 60 |  0  0  0  0 30 30 60 |  0  0  0  0  0  0  0 10 30 20 20 | 0  0 0  0  0  0  0 5 10 5 | * *  * * 1

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