Acronym	grahi
Name	great rhombated hecatonicosachoron, cantitruncated hecatonicosachoron
	©
Cross sections	©
Circumradius	sqrt[64+28 sqrt(5)] = 11.252107
Vertex figure	©
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: grid trip tut grahi 120 1200 600 )
Dihedral angles	at {3} between trip and tut:   arccos(-sqrt[9+3 sqrt(5)]/4) = 172.238756° at {4} between grid and trip:   arccos(-sqrt[(3+sqrt(5))/6]) = 159.094843° at {6} between grid and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {10} between grid and grid:   144°
Face vector	7200, 14400, 9120, 1920
Confer	Grünbaumian relatives: 2grahi   general polytopal classes: Wythoffian polychora
External links

As abstract polytope grahi is isomorphic to gaqrigagishi, thereby replacing the decagons by decagrams, resp. replacing grid by gaquatid.

Incidence matrix according to Dynkin symbol

o3x3x5x

. . . . | 7200 |    2    1    1 |    1    2    2   1 |   1    1   2
--------+------+----------------+--------------------+-------------
. x . . |    2 | 7200    *    * |    1    1    1   0 |   1    1   1
. . x . |    2 |    * 3600    * |    0    2    0   1 |   1    0   2
. . . x |    2 |    *    * 3600 |    0    0    2   1 |   0    1   2
--------+------+----------------+--------------------+-------------
o3x . . |    3 |    3    0    0 | 2400    *    *   * |   1    1   0
. x3x . |    6 |    3    3    0 |    * 2400    *   * |   1    0   1
. x . x |    4 |    2    0    2 |    *    * 3600   * |   0    1   1
. . x5x |   10 |    0    5    5 |    *    *    * 720 |   0    0   2
--------+------+----------------+--------------------+-------------
o3x3x . ♦   12 |   12    6    0 |    4    4    0   0 | 600    *   *
o3x . x ♦    6 |    6    0    3 |    2    0    3   0 |   * 1200   *
. x3x5x ♦  120 |   60   60   60 |    0   20   30  12 |   *    * 120

snubbed forms: o3β3x5x, o3x3β5x, o3x3x5β, o3β3β5x, o3β3x5β, o3x3β5β, o3β3β5β

o3/2x3x5x

.   . . . | 7200 |    2    1    1 |    1    2    2   1 |   1    1   2
----------+------+----------------+--------------------+-------------
.   x . . |    2 | 7200    *    * |    1    1    1   0 |   1    1   1
.   . x . |    2 |    * 3600    * |    0    2    0   1 |   1    0   2
.   . . x |    2 |    *    * 3600 |    0    0    2   1 |   0    1   2
----------+------+----------------+--------------------+-------------
o3/2x . . |    3 |    3    0    0 | 2400    *    *   * |   1    1   0
.   x3x . |    6 |    3    3    0 |    * 2400    *   * |   1    0   1
.   x . x |    4 |    2    0    2 |    *    * 3600   * |   0    1   1
.   . x5x |   10 |    0    5    5 |    *    *    * 720 |   0    0   2
----------+------+----------------+--------------------+-------------
o3/2x3x . ♦   12 |   12    6    0 |    4    4    0   0 | 600    *   *
o3/2x . x ♦    6 |    6    0    3 |    2    0    3   0 |   * 1200   *
.   x3x5x ♦  120 |   60   60   60 |    0   20   30  12 |   *    * 120