Acronym	girfaddic
Name	great retrofrustic distetracontoctachoron
Cross sections	©
Circumradius	sqrt(2) = 1.414214
General of army	cont
Colonel of regiment	afdec
Face vector	288, 1152, 816, 96
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix

x3o4/3x3o4/3*a4*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*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
. .   x3o         |   3 |   0   3 |   *   *   *   * 192 |  0  0  1  1
------------------+-----+---------+---------------------+------------
x3o4/3x .   *a4*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3o   . o4/3*a    ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x .   x3o4/3*a4*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
. o4/3x3o         ♦  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*c    |   8 |    8 |   * 144   * |  2  0
x .   . o4/3*a     & |   4 |    4 |   *   * 288 |  1  1
---------------------+-----+------+-------------+------
x3o4/3x .   *a4*c  & ♦  24 |   48 |   8   6   6 | 48  *
x3o   . o4/3*a     & ♦  12 |   24 |   8   0   6 |  * 48

x3o4/3x3/2o4*a4*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*c |   8 |   4   4 |   * 144   *   *   * |  1  0  1  0
x .   .   o4*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
------------------+-----+---------+---------------------+------------
x3o4/3x   . *a4*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3o   .   o4*a    ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x .   x3/2o4*a4*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
. o4/3x3/2o       ♦  12 |   0  24 |   0   0   0   6   8 |  *  *  * 24

x3/2o4x3/2o4*a4*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*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
.   . x3/2o       |   3 |   0   3 |   *   *   *   * 192 |  0  0  1  1
------------------+-----+---------+---------------------+------------
x3/2o4x   . *a4*c ♦  24 |  24  24 |   8   6   0   6   0 | 24  *  *  *
x3/2o .   o4*a    ♦  12 |  24   0 |   8   0   6   0   0 |  * 24  *  *
x   . x3/2o4*a4*c ♦  24 |  24  24 |   0   6   6   0   8 |  *  * 24  *
.   o4x3/2o       ♦  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*c    |   8 |    8 |   * 144   * |  2  0
x   . .   o4*a     & |   4 |    4 |   *   * 288 |  1  1
---------------------+-----+------+-------------+------
x3/2o4x   . *a4*c  & ♦  24 |   48 |   8   6   6 | 48  *
x3/2o .   o4*a     & ♦  12 |   24 |   8   0   6 |  * 48