Acronym sadinnert
Name small dispenteractirhombated triacontaditeron
Field of sections
 ©
Circumradius sqrt[19-2 sqrt(2)]/2 = 2.010695
Vertex figure
 ©
Colonel of regiment (is itself locally convex – no other uniform polyteral members)
External
links
hedrondude  

As abstract polytope sadinnert is isomorphic to gadinnert, thereby interchanging the roles of octagons and octagrams, resp. replacing op by stop, tic by quith, and quitco by girco, resp. replacing thatoth by thaquitoth, ticcup by quithip, and thaquitpath by thatpath.


Incidence matrix according to Dynkin symbol

o3x3x3x *b4x4/3*c

. . . .    .      | 1920 |    2   1   1   1 |   1   2   2   2   1   1   1 |   1   1  1   2  2   2  1 |  1  1  1  2
------------------+------+------------------+-----------------------------+--------------------------+------------
. x . .    .      |    2 | 1920   *   *   * |   1   1   1   1   0   0   0 |   1   1  1   1  1   1  0 |  1  1  1  1
. . x .    .      |    2 |    * 960   *   * |   0   2   0   0   1   1   0 |   1   0  0   2  2   0  1 |  1  1  0  2
. . . x    .      |    2 |    *   * 960   * |   0   0   2   0   1   0   1 |   0   1  0   2  0   2  1 |  1  0  1  2
. . . .    x      |    2 |    *   *   * 960 |   0   0   0   2   0   1   1 |   0   0  1   0  2   2  1 |  0  1  1  2
------------------+------+------------------+-----------------------------+--------------------------+------------
o3x . .    .      |    3 |    3   0   0   0 | 640   *   *   *   *   *   * |   1   1  1   0  0   0  0 |  1  1  1  0
. x3x .    .      |    6 |    3   3   0   0 |   * 640   *   *   *   *   * |   1   0  0   1  1   0  0 |  1  1  0  1
. x . x    .      |    4 |    2   0   2   0 |   *   * 960   *   *   *   * |   0   1  0   1  0   1  0 |  1  0  1  1
. x . . *b4x      |    8 |    4   0   0   4 |   *   *   * 480   *   *   * |   0   0  1   0  1   1  0 |  0  1  1  1
. . x3x    .      |    6 |    0   3   3   0 |   *   *   *   * 320   *   * |   0   0  0   2  0   0  1 |  1  0  0  2
. . x .    x4/3*c |    8 |    0   4   0   4 |   *   *   *   *   * 240   * |   0   0  0   0  2   0  1 |  0  1  0  2
. . . x    x      |    4 |    0   0   2   2 |   *   *   *   *   *   * 480 |   0   0  0   0  0   2  1 |  0  0  1  2
------------------+------+------------------+-----------------------------+--------------------------+------------
o3x3x .    .         12 |   12   6   0   0 |   4   4   0   0   0   0   0 | 160   *  *   *  *   *  * |  1  1  0  0
o3x . x    .          6 |    6   0   3   0 |   2   0   3   0   0   0   0 |   * 320  *   *  *   *  * |  1  0  1  0
o3x . . *b4x         24 |   24   0   0  12 |   8   0   0   6   0   0   0 |   *   * 80   *  *   *  * |  0  1  1  0
. x3x3x    .         24 |   12  12  12   0 |   0   4   6   0   4   0   0 |   *   *  * 160  *   *  * |  1  0  0  1
. x3x . *b4x4/3*c    48 |   24  24   0  24 |   0   8   0   6   0   6   0 |   *   *  *   * 80   *  * |  0  1  0  1
. x . x *b4x         16 |    8   0   8   8 |   0   0   4   2   0   0   4 |   *   *  *   *  * 240  * |  0  0  1  1
. . x3x    x4/3*c    48 |    0  24  24  24 |   0   0   0   0   8   6  12 |   *   *  *   *  *   * 40 |  0  0  0  2
------------------+------+------------------+-----------------------------+--------------------------+------------
o3x3x3x    .         60 |   60  30  30   0 |  20  20  30   0  10   0   0 |   5  10  0   5  0   0  0 | 32  *  *  *
o3x3x . *b4x4/3*c   192 |  192  96   0  96 |  64  64   0  48   0  24   0 |  16   0  8   0  8   0  0 |  * 10  *  *
o3x . x *b4x         48 |   48   0  24  24 |  16   0  24  12   0   0  12 |   0   8  2   0  0   6  0 |  *  * 40  *
. x3x3x *b4x4/3*c   384 |  192 192 192 192 |   0  64  96  48  64  48  96 |   0   0  0  16  8  24  8 |  *  *  * 10

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