Acronym	gofix, gpI
Name	great icosahedral hecatonicosachoron, great faceted hexacosichoron, greatened polyicosahedron
Cross sections	©
Circumradius	(sqrt(5)-1)/2 = 0.618034
Inradius	(3-sqrt(5))/4 = 0.190983
Density	76
General of army	ex
Colonel of regiment	gishi
Dual	gaghi
Dihedral angles	at {3} between gike and gike:   120°
Face vector	120, 720, 1200, 120
Confer	Grünbaumian relatives: gax+gofix   gofix+gishi+120gid   2gofix   decompositions: gaghi || gofix   related segmentochora: sissidpy   general polytopal classes: Wythoffian polychora   regular   noble polytopes
External links

As abstract polytope gofix is isomorphic to fix, thereby replacing gike by ike, resp. replacing pentagonal edge figures by pentagrammal ones, resp. replacing sissid vertex figures by gad ones.

Its vertex pyramid is a unit sissidpy.

If considered with according densities, then gofix can be thought of as the external blend of 1 gaghi + 120 gadpies + 720 pescs + 1200 pens + 120 gikepies. This decomposition is described as the degenerate segmentoteron xo5oo5/2oo3ox&#x.

Incidence matrix according to Dynkin symbol

x3o5/2o5o

. .   . . | 120 ♦  12 |   30 |  12
----------+-----+-----+------+----
x .   . . |   2 | 720 |    5 |   5
----------+-----+-----+------+----
x3o   . . |   3 |   3 | 1200 |   2
----------+-----+-----+------+----
x3o5/2o . ♦  12 |  30 |   20 | 120

x3o5/2o5/4o

. .   .   . | 120 ♦  12 |   30 |  12
------------+-----+-----+------+----
x .   .   . |   2 | 720 |    5 |   5
------------+-----+-----+------+----
x3o   .   . |   3 |   3 | 1200 |   2
------------+-----+-----+------+----
x3o5/2o   . ♦  12 |  30 |   20 | 120

x3o5/3o5o

. .   . . | 120 ♦  12 |   30 |  12
----------+-----+-----+------+----
x .   . . |   2 | 720 |    5 |   5
----------+-----+-----+------+----
x3o   . . |   3 |   3 | 1200 |   2
----------+-----+-----+------+----
x3o5/3o . ♦  12 |  30 |   20 | 120

x3o5/3o5/4o

. .   .   . | 120 ♦  12 |   30 |  12
------------+-----+-----+------+----
x .   .   . |   2 | 720 |    5 |   5
------------+-----+-----+------+----
x3o   .   . |   3 |   3 | 1200 |   2
------------+-----+-----+------+----
x3o5/3o   . ♦  12 |  30 |   20 | 120

x3/2o5/2o5o

.   .   . . | 120 ♦  12 |   30 |  12
------------+-----+-----+------+----
x   .   . . |   2 | 720 |    5 |   5
------------+-----+-----+------+----
x3/2o   . . |   3 |   3 | 1200 |   2
------------+-----+-----+------+----
x3/2o5/2o . ♦  12 |  30 |   20 | 120

x3/2o5/2o5/4o

.   .   .   . | 120 ♦  12 |   30 |  12
--------------+-----+-----+------+----
x   .   .   . |   2 | 720 |    5 |   5
--------------+-----+-----+------+----
x3/2o   .   . |   3 |   3 | 1200 |   2
--------------+-----+-----+------+----
x3/2o5/2o   . ♦  12 |  30 |   20 | 120

x3/2o5/3o5o

.   .   . . | 120 ♦  12 |   30 |  12
------------+-----+-----+------+----
x   .   . . |   2 | 720 |    5 |   5
------------+-----+-----+------+----
x3/2o   . . |   3 |   3 | 1200 |   2
------------+-----+-----+------+----
x3/2o5/3o . ♦  12 |  30 |   20 | 120

x3/2o5/3o5/4o

.   .   .   . | 120 ♦  12 |   30 |  12
--------------+-----+-----+------+----
x   .   .   . |   2 | 720 |    5 |   5
--------------+-----+-----+------+----
x3/2o   .   . |   3 |   3 | 1200 |   2
--------------+-----+-----+------+----
x3/2o5/3o   . ♦  12 |  30 |   20 | 120