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 480480000
rafficdi 4800024240
girfaddic 480000048
affic (fissary) 04800000
affip (compound) 000192000
& others)
External
links
hedrondude   polytopewiki   WikiChoron  

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

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