Acronym	grahip (old: grahipe)
Name	great-rhombated-hecatonicosachoron prism, cantitruncated-hecatonicosachoron prism
Circumradius	sqrt[257+112 sqrt(5)]/2 = 11.263210
Dihedral angles	at trip between tisdip and tuttip:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756° at cube between griddip and tisdip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843° at hip between griddip and tuttip:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at dip between griddip and griddip:   144° at grip between grahi and griddip:   90° at trip between grahi and tisdip:   90° at tut between grahi and tuttip:   90°
Face vector	14400, 36000, 32640, 12960, 1922
Confer	general polytopal classes: Wythoffian polytera   segmentotera
External links

Incidence matrix according to Dynkin symbol

x o3x3x5x

. . . . . | 14400 |    1     2    1    1 |    2    1    1    1    2    2    1 |    1    2    2   1    1    1   2 |   1    1   2 1
----------+-------+----------------------+------------------------------------+----------------------------------+---------------
x . . . . |     2 | 7200     *    *    * |    2    1    1    0    0    0    0 |    1    2    2   1    0    0   0 |   1    1   2 0
. . x . . |     2 |    * 14400    *    * |    1    0    0    1    1    1    0 |    1    1    1   0    1    1   1 |   1    1   1 1
. . . x . |     2 |    *     * 7200    * |    0    1    0    0    2    0    1 |    0    2    0   1    1    0   2 |   1    0   2 1
. . . . x |     2 |    *     *    * 7200 |    0    0    1    0    0    2    1 |    0    0    2   1    0    1   2 |   0    1   2 1
----------+-------+----------------------+------------------------------------+----------------------------------+---------------
x . x . . |     4 |    2     2    0    0 | 7200    *    *    *    *    *    * |    1    1    1   0    0    0   0 |   1    1   1 0
x . . x . |     4 |    2     0    2    0 |    * 3600    *    *    *    *    * |    0    2    0   1    0    0   0 |   1    0   2 0
x . . . x |     4 |    2     0    0    2 |    *    * 3600    *    *    *    * |    0    0    2   1    0    0   0 |   0    1   2 0
. o3x . . |     3 |    0     3    0    0 |    *    *    * 4800    *    *    * |    1    0    0   0    1    1   0 |   1    1   0 1
. . x3x . |     6 |    0     3    3    0 |    *    *    *    * 4800    *    * |    0    1    0   0    1    0   1 |   1    0   1 1
. . x . x |     4 |    0     2    0    2 |    *    *    *    *    * 7200    * |    0    0    1   0    0    1   1 |   0    1   1 1
. . . x5x |    10 |    0     0    5    5 |    *    *    *    *    *    * 1440 |    0    0    0   1    0    0   2 |   0    0   2 1
----------+-------+----------------------+------------------------------------+----------------------------------+---------------
x o3x . . ♦     6 |    3     6    0    0 |    3    0    0    2    0    0    0 | 2400    *    *   *    *    *   * |   1    1   0 0
x . x3x . ♦    12 |    6     6    6    0 |    3    3    0    0    2    0    0 |    * 2400    *   *    *    *   * |   1    0   1 0
x . x . x ♦     8 |    4     4    0    4 |    2    0    2    0    0    2    0 |    *    * 3600   *    *    *   * |   0    1   1 0
x . . x5x ♦    20 |   10     0   10   10 |    0    5    5    0    0    0    2 |    *    *    * 720    *    *   * |   0    0   2 0
. o3x3x . ♦    12 |    0    12    6    0 |    0    0    0    4    4    0    0 |    *    *    *   * 1200    *   * |   1    0   0 1
. o3x . x ♦     6 |    0     6    0    3 |    0    0    0    2    0    3    0 |    *    *    *   *    * 2400   * |   0    1   0 1
. . x3x5x ♦   120 |    0    60   60   60 |    0    0    0    0   20   30   12 |    *    *    *   *    *    * 240 |   0    0   1 1
----------+-------+----------------------+------------------------------------+----------------------------------+---------------
x o3x3x . ♦    24 |   12    24   12    0 |   12    6    0    8    8    0    0 |    4    4    0   0    2    0   0 | 600    *   * *
x o3x . x ♦    12 |    6    12    0    6 |    6    0    3    4    0    6    0 |    2    0    3   0    0    2   0 |   * 1200   * *
x . x3x5x ♦   240 |  120   120  120  120 |   60   60   60    0   40   60   24 |    0   20   30  12    0    0   2 |   *    * 120 *
. o3x3x5x ♦  7200 |    0  7200 3600 3600 |    0    0    0 2400 2400 3600  720 |    0    0    0   0  600 1200 120 |   *    *   * 2

oo3xx3xx5xx&#x   → height = 1
(grahi || grahi)

o.3o.3o.5o.    | 7200    * |    2    1    1    1    0    0    0 |    1    2    2   1    2    1    1    0    0    0   0 |   1    1   2    1    2    2   1   0    0   0 | 1   1    1   2 0
.o3.o3.o5.o    |    * 7200 |    0    0    0    1    2    1    1 |    0    0    0   0    2    1    1    1    2    2   1 |   0    0   0    1    2    2   1   1    1   2 | 0   1    1   2 1
---------------+-----------+------------------------------------+------------------------------------------------------+----------------------------------------------+-----------------
.. x. .. ..    |    2    0 | 7200    *    *    *    *    *    * |    1    1    1   0    1    0    0    0    0    0   0 |   1    1   1    1    1    1   0   0    0   0 | 1   1    1   1 0
.. .. x. ..    |    2    0 |    * 3600    *    *    *    *    * |    0    2    0   1    0    1    0    0    0    0   0 |   1    0   2    0    2    0   1   0    0   0 | 1   1    0   2 0
.. .. .. x.    |    2    0 |    *    * 3600    *    *    *    * |    0    0    2   1    0    0    1    0    0    0   0 |   0    1   2    0    0    2   1   0    0   0 | 1   0    1   2 0
oo3oo3oo3oo&#x |    1    1 |    *    *    * 7200    *    *    * |    0    0    0   0    2    1    1    0    0    0   0 |   0    0   0    1    2    2   1   0    0   0 | 0   1    1   2 0
.. .x .. ..    |    0    2 |    *    *    *    * 7200    *    * |    0    0    0   0    1    0    0    1    1    1   0 |   0    0   0    1    1    1   0   1    1   1 | 0   1    1   1 1
.. .. .x ..    |    0    2 |    *    *    *    *    * 3600    * |    0    0    0   0    0    1    0    0    2    0   1 |   0    0   0    0    2    0   1   1    0   2 | 0   1    0   2 1
.. .. .. .x    |    0    2 |    *    *    *    *    *    * 3600 |    0    0    0   0    0    0    1    0    0    2   1 |   0    0   0    0    0    2   1   0    1   2 | 0   0    1   2 1
---------------+-----------+------------------------------------+------------------------------------------------------+----------------------------------------------+-----------------
o.3x. .. ..    |    3    0 |    3    0    0    0    0    0    0 | 2400    *    *   *    *    *    *    *    *    *   * |   1    1   0    1    0    0   0   0    0   0 | 1   1    1   0 0
.. x.3x. ..    |    6    0 |    3    3    0    0    0    0    0 |    * 2400    *   *    *    *    *    *    *    *   * |   1    0   1    0    1    0   0   0    0   0 | 1   1    0   1 0
.. x. .. x.    |    4    0 |    2    0    2    0    0    0    0 |    *    * 3600   *    *    *    *    *    *    *   * |   0    1   1    0    0    1   0   0    0   0 | 1   0    1   1 0
.. .. x.5x.    |   10    0 |    0    5    5    0    0    0    0 |    *    *    * 720    *    *    *    *    *    *   * |   0    0   2    0    0    0   1   0    0   0 | 1   0    0   2 0
.. xx .. ..&#x |    2    2 |    1    0    0    2    1    0    0 |    *    *    *   * 7200    *    *    *    *    *   * |   0    0   0    1    1    1   0   0    0   0 | 0   1    1   1 0
.. .. xx ..&#x |    2    2 |    0    1    0    2    0    1    0 |    *    *    *   *    * 3600    *    *    *    *   * |   0    0   0    0    2    0   1   0    0   0 | 0   1    0   2 0
.. .. .. xx&#x |    2    2 |    0    0    1    2    0    0    1 |    *    *    *   *    *    * 3600    *    *    *   * |   0    0   0    0    0    2   1   0    0   0 | 0   0    1   2 0
.o3.x .. ..    |    0    3 |    0    0    0    0    3    0    0 |    *    *    *   *    *    *    * 2400    *    *   * |   0    0   0    1    0    0   0   1    1   0 | 0   1    1   0 1
.. .x3.x ..    |    0    6 |    0    0    0    0    3    3    0 |    *    *    *   *    *    *    *    * 2400    *   * |   0    0   0    0    1    0   0   1    0   1 | 0   1    0   1 1
.. .x .. .x    |    0    4 |    0    0    0    0    2    0    2 |    *    *    *   *    *    *    *    *    * 3600   * |   0    0   0    0    0    1   0   0    1   1 | 0   0    1   1 1
.. .. .x5.x    |    0   10 |    0    0    0    0    0    5    5 |    *    *    *   *    *    *    *    *    *    * 720 |   0    0   0    0    0    0   1   0    0   2 | 0   0    0   2 1
---------------+-----------+------------------------------------+------------------------------------------------------+----------------------------------------------+-----------------
o.3x.3x. ..    ♦   12    0 |   12    6    0    0    0    0    0 |    4    4    0   0    0    0    0    0    0    0   0 | 600    *   *    *    *    *   *   *    *   * | 1   1    0   0 0
o.3x. .. x.    ♦    6    0 |    6    0    3    0    0    0    0 |    2    0    3   0    0    0    0    0    0    0   0 |   * 1200   *    *    *    *   *   *    *   * | 1   0    1   0 0
.. x.3x.5x.    ♦  120    0 |   60   60   60    0    0    0    0 |    0   20   30  12    0    0    0    0    0    0   0 |   *    * 120    *    *    *   *   *    *   * | 1   0    0   1 0
oo3xx .. ..&#x ♦    3    3 |    3    0    0    3    3    0    0 |    1    0    0   0    3    0    0    1    0    0   0 |   *    *   * 2400    *    *   *   *    *   * | 0   1    1   0 0
.. xx3xx ..&#x ♦    6    6 |    3    3    0    6    3    3    0 |    0    1    0   0    3    3    0    0    1    0   0 |   *    *   *    * 2400    *   *   *    *   * | 0   1    0   1 0
.. xx .. xx&#x ♦    4    4 |    2    0    2    4    2    0    2 |    0    0    1   0    2    0    2    0    0    1   0 |   *    *   *    *    * 3600   *   *    *   * | 0   0    1   1 0
.. .. xx5xx&#x ♦   10   10 |    0    5    5   10    0    5    5 |    0    0    0   1    0    5    5    0    0    0   1 |   *    *   *    *    *    * 720   *    *   * | 0   0    0   2 0
.o3.x3.x ..    ♦    0   12 |    0    0    0    0   12    6    0 |    0    0    0   0    0    0    0    4    4    0   0 |   *    *   *    *    *    *   * 600    *   * | 0   1    0   0 1
.o3.x .. .x    ♦    0    6 |    0    0    0    0    6    0    3 |    0    0    0   0    0    0    0    2    0    3   0 |   *    *   *    *    *    *   *   * 1200   * | 0   0    1   0 1
.. .x3.x5.x    ♦    0  120 |    0    0    0    0   60   60   60 |    0    0    0   0    0    0    0    0   20   30  12 |   *    *   *    *    *    *   *   *    * 120 | 0   0    0   1 1
---------------+-----------+------------------------------------+------------------------------------------------------+----------------------------------------------+-----------------
o.3x.3x.5x.    ♦ 7200    0 | 7200 3600 3600    0    0    0    0 | 2400 2400 3600 720    0    0    0    0    0    0   0 | 600 1200 120    0    0    0   0   0    0   0 | 1   *    *   * *
oo3xx3xx ..&#x ♦   12   12 |   12    6    0   12   12    6    0 |    4    4    0   0   12    6    0    4    4    0   0 |   1    0   0    4    4    0   0   1    0   0 | * 600    *   * *
oo3xx .. xx&#x ♦    6    6 |    6    0    3    6    6    0    3 |    2    0    3   0    6    0    3    2    0    3   0 |   0    1   0    2    0    3   0   0    1   0 | *   * 1200   * *
.. xx3xx5xx&#x ♦  120  120 |   60   60   60  120   60   60   60 |    0   20   30  12   60   60   60    0   20   30  12 |   0    0   1    0   20   30  12   0    0   1 | *   *    * 120 *
.o3.x3.x5.x    ♦    0 7200 |    0    0    0    0 7200 3600 3600 |    0    0    0   0    0    0    0 2400 2400 3600 720 |   0    0   0    0    0    0   0 600 1200 120 | *   *    *   * 1