Acronym	iquatoc
Name	icositetraquasitruncated tetracontoctachoron
Cross sections	©
Circumradius	2
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cotco quith tic iquatoc 24 24 24 )
Face vector	576, 1152, 576, 72
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope iquatoc is automorph, thereby interchanging the roles of octagons and octagrams, resp. those of tic and quith.

Incidence matrix according to Dynkin symbol

o3x4x3x4/3*b

. . . .      | 576 |   2   1   1 |   1   2   2  1 |  1  1  2
-------------+-----+-------------+----------------+---------
. x . .      |   2 | 576   *   * |   1   1   1  0 |  1  1  1
. . x .      |   2 |   * 288   * |   0   2   0  1 |  1  0  2
. . . x      |   2 |   *   * 288 |   0   0   2  1 |  0  1  2
-------------+-----+-------------+----------------+---------
o3x . .      |   3 |   3   0   0 | 192   *   *  * |  1  1  0
. x4x .      |   8 |   4   4   0 |   * 144   *  * |  1  0  1
. x . x4/3*b |   8 |   4   0   4 |   *   * 144  * |  0  1  1
. . x3x      |   6 |   0   3   3 |   *   *   * 96 |  0  0  2
-------------+-----+-------------+----------------+---------
o3x4x .      ♦  24 |  24  12   0 |   8   6   0  0 | 24  *  *
o3x . x4/3*b ♦  24 |  24   0  12 |   8   0   6  0 |  * 24  *
. x4x3x4/3*b ♦  48 |  24  24  24 |   0   6   6  8 |  *  * 24

o3/2x4x3x4/3*b

.   . . .      | 576 |   2   1   1 |   1   2   2  1 |  1  1  2
---------------+-----+-------------+----------------+---------
.   x . .      |   2 | 576   *   * |   1   1   1  0 |  1  1  1
.   . x .      |   2 |   * 288   * |   0   2   0  1 |  1  0  2
.   . . x      |   2 |   *   * 288 |   0   0   2  1 |  0  1  2
---------------+-----+-------------+----------------+---------
o3/2x . .      |   3 |   3   0   0 | 192   *   *  * |  1  1  0
.   x4x .      |   8 |   4   4   0 |   * 144   *  * |  1  0  1
.   x . x4/3*b |   8 |   4   0   4 |   *   * 144  * |  0  1  1
.   . x3x      |   6 |   0   3   3 |   *   *   * 96 |  0  0  2
---------------+-----+-------------+----------------+---------
o3/2x4x .      ♦  24 |  24  12   0 |   8   6   0  0 | 24  *  *
o3/2x . x4/3*b ♦  24 |  24   0  12 |   8   0   6  0 |  * 24  *
.   x4x3x4/3*b ♦  48 |  24  24  24 |   0   6   6  8 |  *  * 24