Acronym	gashi, aspD
Name	grand stellated hecatonicosachoron, aggrandized stellated polydodecahedron
Cross sections	©
Circumradius	(sqrt(5)-1)/2 = 0.618034
Inradius	(3-sqrt(5))/4 = 0.190983
Density	66
General of army	ex
Colonel of regiment	gishi
Dual	(selfdual)
Dihedral angles	at {5/2} between sissid and sissid:   72°
Face vector	120, 720, 720, 120
Confer	Grünbaumian relatives: 2gashi   gax+gashi+120gid   gishi+gashi   general polytopal classes: Wythoffian polychora   regular   noble polytopes
External links

As abstract polytope gashi is isomorphic to gohi, thereby replacing sissid by gad, resp. replacing pentagrammal faces and edge figures each by pentagonal ones, resp. replacing gad vertex figures by sissid ones.

A selfdual polychoron.

Incidence matrix according to Dynkin symbol

x5/2o5o5/2o

.   . . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/2o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/2o5o . ♦  12 |  30 |  12 | 120

x5/2o5o5/3o

.   . . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/2o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/2o5o . ♦  12 |  30 |  12 | 120

x5/2o5/4o5/2o

.   .   . . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/2o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/2o5/4o . ♦  12 |  30 |  12 | 120

x5/2o5/4o5/3o

.   .   . . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/2o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/2o5/4o . ♦  12 |  30 |  12 | 120

x5/3o5o5/2o

.   . . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/3o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/3o5o . ♦  12 |  30 |  12 | 120

x5/3o5o5/3o

.   . . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x   . . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5/3o . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5/3o5o . ♦  12 |  30 |  12 | 120

x5/3o5/4o5/2o

.   .   . . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/3o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/3o5/4o . ♦  12 |  30 |  12 | 120

x5/3o5/4o5/3o

.   .   . . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x   .   . . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5/3o   . . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5/3o5/4o . ♦  12 |  30 |  12 | 120