Acronym	doc
Name	distetracontoctachoron
Cross sections	©
Circumradius	sqrt(6) = 2.449490
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: girco quitco doc 48 48 )
Dihedral angles	at {8/3} between quitco and quitco:   135° at {6} between girco and quitco:   120° at {4} between girco and quitco:   90° at {8} between girco and girco:   45°
Face vector	1152, 2304, 1248, 96
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope doc is automorph, thereby interchanging octagons by octagrams, and thus girco by quitco.

Incidence matrix according to Dynkin symbol

x3x4x3x4/3*a

. . . .      | 1152 |   1   1   1   1 |   1   1   1   1   1   1 |  1  1  1  1
-------------+------+-----------------+-------------------------+------------
x . . .      |    2 | 576   *   *   * |   1   1   1   0   0   0 |  1  1  1  0
. x . .      |    2 |   * 576   *   * |   1   0   0   1   1   0 |  1  1  0  1
. . x .      |    2 |   *   * 576   * |   0   1   0   1   0   1 |  1  0  1  1
. . . x      |    2 |   *   *   * 576 |   0   0   1   0   1   1 |  0  1  1  1
-------------+------+-----------------+-------------------------+------------
x3x . .      |    6 |   3   3   0   0 | 192   *   *   *   *   * |  1  1  0  0
x . x .      |    4 |   2   0   2   0 |   * 288   *   *   *   * |  1  0  1  0
x . . x4/3*a |    8 |   4   0   0   4 |   *   * 144   *   *   * |  0  1  1  0
. x4x .      |    8 |   0   4   4   0 |   *   *   * 144   *   * |  1  0  0  1
. x . x      |    4 |   0   2   0   2 |   *   *   *   * 288   * |  0  1  0  1
. . x3x      |    6 |   0   0   3   3 |   *   *   *   *   * 192 |  0  0  1  1
-------------+------+-----------------+-------------------------+------------
x3x4x .      ♦   48 |  24  24  24   0 |   8  12   0   6   0   0 | 24  *  *  *
x3x . x4/3*a ♦   48 |  24  24   0  24 |   8   0   6   0  12   0 |  * 24  *  *
x . x3x4/3*a ♦   48 |  24   0  24  24 |   0  12   6   0   0   8 |  *  * 24  *
. x4x3x      ♦   48 |   0  24  24  24 |   0   0   0   6  12   8 |  *  *  * 24

or
. . . .         | 1152 |    2    2 |   2   2   1   1 |  2  2
----------------+------+-----------+-----------------+------
x . . .       & |    2 | 1152    * |   1   1   1   0 |  1  2
. x . .       & |    2 |    * 1152 |   1   1   0   1 |  2  1
----------------+------+-----------+-----------------+------
x3x . .       & |    6 |    3    3 | 384   *   *   * |  1  1
x . x .       & |    4 |    2    2 |   * 576   *   * |  1  1
x . . x4/3*a    |    8 |    8    0 |   *   * 144   * |  0  2
. x4x .         |    8 |    0    8 |   *   *   * 144 |  2  0
----------------+------+-----------+-----------------+------
x3x4x .       & ♦   48 |   24   48 |   8  12   0   6 | 48  *
x3x . x4/3*a  & ♦   48 |   48   24 |   8  12   6   0 |  * 48