Acronym	afdec
Name	antifrustic distetracontoctachoron
Cross sections	©
Circumradius	sqrt(2) = 1.414214
General of army	cont
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: co cotco gocco hip querco sirco socco afdec 48 0 48 0 0 0 0 rafficdi 48 0 0 0 24 24 0 girfaddic 48 0 0 0 0 0 48 affic (fissary) 0 48 0 0 0 0 0 affip (compound) 0 0 0 192 0 0 0 & others)
Face vector	288, 1152, 816, 96
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope afdec is isomorphic to girfaddic, thereby replacing the octagrams by octagons, resp. replacing gocco by socco.

Incidence matrix according to Dynkin symbol

x3o4x3o4*a4/3*c

. . . .         | 288 |   4   4 |   2   4   2   2   2 |  2  1  2  1
----------------+-----+---------+---------------------+------------
x . . .         |   2 | 576   * |   1   1   1   0   0 |  1  1  1  0
. . x .         |   2 |   * 576 |   0   1   0   1   1 |  1  0  1  1
----------------+-----+---------+---------------------+------------
x3o . .         |   3 |   3   0 | 192   *   *   *   * |  1  1  0  0
x . x . *a4/3*c |   8 |   4   4 |   * 144   *   *   * |  1  0  1  0
x . . o4*a      |   4 |   4   0 |   *   * 144   *   * |  0  1  1  0
. o4x .         |   4 |   0   4 |   *   *   * 144   * |  1  0  0  1
. . x3o         |   3 |   0   3 |   *   *   *   * 192 |  0  0  1  1
----------------+-----+---------+---------------------+------------
x3o4x . *a4/3*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3o . o4*a      ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x . x3o4*a4/3*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
. o4x3o         ♦  12 |   0  24 |   0   0   0   6   8 |  *  *  * 24

or
. . . .            | 288 |    8 |   4   4   4 |  4  2
-------------------+-----+------+-------------+------
x . . .          & |   2 | 1152 |   1   1   1 |  2  1
-------------------+-----+------+-------------+------
x3o . .          & |   3 |    3 | 384   *   * |  1  1
x . x . *a4/3*c    |   8 |    8 |   * 144   * |  2  0
x . . o4*a       & |   4 |    4 |   *   * 288 |  1  1
-------------------+-----+------+-------------+------
x3o4x . *a4/3*c  & ♦  24 |   48 |   8   6   6 | 48  *
x3o . o4*a       & ♦  12 |   24 |   8   0   6 |  * 48

x3o4x3/2o4/3*a4/3*c

. . .   .           | 288 |   4   4 |   2   4   2   2   2 |  2  1  2  1
--------------------+-----+---------+---------------------+------------
x . .   .           |   2 | 576   * |   1   1   1   0   0 |  1  1  1  0
. . x   .           |   2 |   * 576 |   0   1   0   1   1 |  1  0  1  1
--------------------+-----+---------+---------------------+------------
x3o .   .           |   3 |   3   0 | 192   *   *   *   * |  1  1  0  0
x . x   .   *a4/3*c |   8 |   4   4 |   * 144   *   *   * |  1  0  1  0
x . .   o4/3*a      |   4 |   4   0 |   *   * 144   *   * |  0  1  1  0
. o4x   .           |   4 |   0   4 |   *   *   * 144   * |  1  0  0  1
. . x3/2o           |   3 |   0   3 |   *   *   *   * 192 |  0  0  1  1
--------------------+-----+---------+---------------------+------------
x3o4x   .   *a4/3*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3o .   o4/3*a      ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x . x3/2o4/3*a4/3*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
. o4x3/2o           ♦  12 |   0  24 |   0   0   0   6   8 |  *  *  * 24

x3/2o4/3x3/2o4/3*a4/3*c

.   .   .   .           | 288 |   4   4 |   2   4   2   2   2 |  2  1  2  1
------------------------+-----+---------+---------------------+------------
x   .   .   .           |   2 | 576   * |   1   1   1   0   0 |  1  1  1  0
.   .   x   .           |   2 |   * 576 |   0   1   0   1   1 |  1  0  1  1
------------------------+-----+---------+---------------------+------------
x3/2o   .   .           |   3 |   3   0 | 192   *   *   *   * |  1  1  0  0
x   .   x   .   *a4/3*c |   8 |   4   4 |   * 144   *   *   * |  1  0  1  0
x   .   .   o4/3*a      |   4 |   4   0 |   *   * 144   *   * |  0  1  1  0
.   o4/3x   .           |   4 |   0   4 |   *   *   * 144   * |  1  0  0  1
.   .   x3/2o           |   3 |   0   3 |   *   *   *   * 192 |  0  0  1  1
------------------------+-----+---------+---------------------+------------
x3/2o4/3x   .   *a4/3*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3/2o   .   o4/3*a      ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x   .   x3/2o4/3*a4/3*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
.   o4/3x3/2o           ♦  12 |   0  24 |   0   0   0   6   8 |  *  *  * 24

or
.   .   .   .              | 288 |    8 |   4   4   4 |  4  2
---------------------------+-----+------+-------------+------
x   .   .   .            & |   2 | 1152 |   1   1   1 |  2  1
---------------------------+-----+------+-------------+------
x3/2o   .   .            & |   3 |    3 | 384   *   * |  1  1
x   .   x   .   *a4/3*c    |   8 |    8 |   * 144   * |  2  0
x   .   .   o4/3*a       & |   4 |    4 |   *   * 288 |  1  1
---------------------------+-----+------+-------------+------
x3/2o4/3x   .   *a4/3*c  & ♦  24 |   48 |   8   6   6 | 48  *
x3/2o   .   o4/3*a       & ♦  12 |   24 |   8   0   6 |  * 48