Acronym	gogishi, gaspD
Name	great grand stellated hecatonicosachoron, greatened aggrandized stellated polydodecahedron
Cross sections	©
Circumradius	sqrt[7-3 sqrt(5)] = 0.540182
Inradius	(7-3 sqrt(5))/4 = 0.072949
Density	191
General of army	hi
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: gissid gogishi 120 )
Dual	gax
Dihedral angles	at {5/2} between gissid and gissid:   72°
Face vector	600, 1200, 720, 120
Confer	Grünbaumian relatives: 2gogishi   general polytopal classes: Wythoffian polychora   regular   noble polytopes
External links

As abstract polytope gogishi is isomorphic to hi, thereby replacing pentagrams by pentagons resp. replacing gissid by doe.

Incidence matrix according to Dynkin symbol

o3o3o5/2x

. . .   . | 600 ♦    4 |   6 |   4
----------+-----+------+-----+----
. . .   x |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
. . o5/2x |   5 |    5 | 720 |   2
----------+-----+------+-----+----
. o3o5/2x ♦  20 |   30 |  12 | 120

o3o3o5/3x

. . .   . | 600 ♦    4 |   6 |   4
----------+-----+------+-----+----
. . .   x |   2 | 1200 |   3 |   3
----------+-----+------+-----+----
. . o5/3x |   5 |    5 | 720 |   2
----------+-----+------+-----+----
. o3o5/3x ♦  20 |   30 |  12 | 120

o3o3/2o5/2x

. .   .   . | 600 ♦    4 |   6 |   4
------------+-----+------+-----+----
. .   .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
. .   o5/2x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
. o3/2o5/2x ♦  20 |   30 |  12 | 120

o3o3/2o5/3x

. .   .   . | 600 ♦    4 |   6 |   4
------------+-----+------+-----+----
. .   .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
. .   o5/3x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
. o3/2o5/3x ♦  20 |   30 |  12 | 120

o3/2o3o5/2x

.   . .   . | 600 ♦    4 |   6 |   4
------------+-----+------+-----+----
.   . .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
.   . o5/2x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
.   o3o5/2x ♦  20 |   30 |  12 | 120

o3/2o3o5/3x

.   . .   . | 600 ♦    4 |   6 |   4
------------+-----+------+-----+----
.   . .   x |   2 | 1200 |   3 |   3
------------+-----+------+-----+----
.   . o5/3x |   5 |    5 | 720 |   2
------------+-----+------+-----+----
.   o3o5/3x ♦  20 |   30 |  12 | 120

o3/2o3/2o5/2x

.   .   .   . | 600 ♦    4 |   6 |   4
--------------+-----+------+-----+----
.   .   .   x |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
.   .   o5/2x |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
.   o3/2o5/2x ♦  20 |   30 |  12 | 120

o3/2o3/2o5/3x

.   .   .   . | 600 ♦    4 |   6 |   4
--------------+-----+------+-----+----
.   .   .   x |   2 | 1200 |   3 |   3
--------------+-----+------+-----+----
.   .   o5/3x |   5 |    5 | 720 |   2
--------------+-----+------+-----+----
.   o3/2o5/3x ♦  20 |   30 |  12 | 120