Acronym	gohi
Name	great hecatonicosachoron
Cross sections	©
Circumradius	(1+sqrt(5))/2 = 1.618034
Inradius	(3+sqrt(5))/4 = 1.309017
Coordinates	(τ, 0, 0, 0)             & all permutations, all changes of sign (vertex inscribed f/q-hex) (τ/2, τ/2, τ/2, τ/2)   & all permutations, all changes of sign (vertex inscribed f-tes) (τ2/2, τ/2, 1/2, 0)   & even permutations, all changes of sign (vertex inscribed sadi) where τ = (1+sqrt(5))/2 (a. and b. together define a vertex inscribed f-ico)
General of army	ex
Colonel of regiment	ex
Dual	(selfdual)
Confer	gahi+gohi   ex+gohi+120id   2gohi   regular
External links

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

A selfdual polychoron.

Incidence matrix according to Dynkin symbol

x5o5/2o5o

. .   . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x .   . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5o   . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5o5/2o . ♦  12 |  30 |  12 | 120

x5o5/2o5/4o

. .   .   . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x .   .   . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5o   .   . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5o5/2o   . ♦  12 |  30 |  12 | 120

x5o5/3o5o

. .   . . | 120 ♦  12 |  30 |  12
----------+-----+-----+-----+----
x .   . . |   2 | 720 |   5 |   5
----------+-----+-----+-----+----
x5o   . . |   5 |   5 | 720 |   2
----------+-----+-----+-----+----
x5o5/3o . ♦  12 |  30 |  12 | 120

x5o5/3o5/4o

. .   .   . | 120 ♦  12 |  30 |  12
------------+-----+-----+-----+----
x .   .   . |   2 | 720 |   5 |   5
------------+-----+-----+-----+----
x5o   .   . |   5 |   5 | 720 |   2
------------+-----+-----+-----+----
x5o5/3o   . ♦  12 |  30 |  12 | 120

x5/4o5/2o5o

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

x5/4o5/2o5/4o

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

x5/4o5/3o5o

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

x5/4o5/3o5/4o

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