Acronym	gic
Name	great tetracontoctachoron, octagrammy
Cross sections	©
Circumradius	2-sqrt(2) = 0.585786
Density	73
General of army	cont
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: quith gic 48 )
Face vector	288, 576, 336, 48
Confer	general polytopal classes: Wythoffian polychora   noble polytopes
External links

As abstract polytope gic is isomorphic to cont, thereby replacing the octagrams by octagons, resp. replacing quith by tic.

Incidence matrix according to Dynkin symbol

o3x4/3x3o

. .   . . | 288 |   2   2 |  1   4  1 |  2  2
----------+-----+---------+-----------+------
. x   . . |   2 | 288   * |  1   2  0 |  2  1
. .   x . |   2 |   * 288 |  0   2  1 |  1  2
----------+-----+---------+-----------+------
o3x   . . |   3 |   3   0 | 96   *  * |  2  0
. x4/3x . |   8 |   4   4 |  * 144  * |  1  1
. .   x3o |   3 |   0   3 |  *   * 96 |  0  2
----------+-----+---------+-----------+------
o3x4/3x . ♦  24 |  24  12 |  8   6  0 | 24  *
. x4/3x3o ♦  24 |  12  24 |  0   6  8 |  * 24

or
. .   . .    | 288 |   4 |   2   4 |  4
-------------+-----+-----+---------+---
. x   . .  & |   2 | 576 |   1   2 |  3
-------------+-----+-----+---------+---
o3x   . .  & |   3 |   3 | 192   * |  2
. x4/3x .    |   8 |   8 |   * 144 |  2
-------------+-----+-----+---------+---
o3x4/3x .  & ♦  24 |  36 |   8   6 | 48

o3x4/3x3/2o

. .   .   . | 288 |   2   2 |  1   4  1 |  2  2
------------+-----+---------+-----------+------
. x   .   . |   2 | 288   * |  1   2  0 |  2  1
. .   x   . |   2 |   * 288 |  0   2  1 |  1  2
------------+-----+---------+-----------+------
o3x   .   . |   3 |   3   0 | 96   *  * |  2  0
. x4/3x   . |   8 |   4   4 |  * 144  * |  1  1
. .   x3/2o |   3 |   0   3 |  *   * 96 |  0  2
------------+-----+---------+-----------+------
o3x4/3x   . ♦  24 |  24  12 |  8   6  0 | 24  *
. x4/3x3/2o ♦  24 |  12  24 |  0   6  8 |  * 24

o3/2x4/3x3/2o

.   .   .   . | 288 |   2   2 |  1   4  1 |  2  2
--------------+-----+---------+-----------+------
.   x   .   . |   2 | 288   * |  1   2  0 |  2  1
.   .   x   . |   2 |   * 288 |  0   2  1 |  1  2
--------------+-----+---------+-----------+------
o3/2x   .   . |   3 |   3   0 | 96   *  * |  2  0
.   x4/3x   . |   8 |   4   4 |  * 144  * |  1  1
.   .   x3/2o |   3 |   0   3 |  *   * 96 |  0  2
--------------+-----+---------+-----------+------
o3/2x4/3x   . ♦  24 |  24  12 |  8   6  0 | 24  *
.   x4/3x3/2o ♦  24 |  12  24 |  0   6  8 |  * 24

or
.   .   .   .    | 288 |   4 |   2   4 |  4
-----------------+-----+-----+---------+---
.   x   .   .  & |   2 | 576 |   1   2 |  3
-----------------+-----+-----+---------+---
o3/2x   .   .  & |   3 |   3 | 192   * |  2
.   x4/3x   .    |   8 |   8 |   * 144 |  2
-----------------+-----+-----+---------+---
o3/2x4/3x   .  & ♦  24 |  36 |   8   6 | 48