Acronym	recaptid
Name	retrocelliprismatotruncated dodecateron
Field of sections	©
Circumradius	sqrt(5) = 2.236068
Vertex figure	©
Colonel of regiment	captid
Face vector	360, 1080, 1050, 390, 48
Confer	general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x3x3x3x *b3o3/2*c

. . . .    .      | 360 |   1   2   2   1 |   2   2  1   2   2   1   2   1 |  2  2  1  2  1  2  1  1  1 | 2 1  1  1 1
------------------+-----+-----------------+--------------------------------+----------------------------+------------
x . . .    .      |   2 | 180   *   *   * |   2   2  1   0   0   0   0   0 |  2  2  1  2  1  0  0  0  0 | 2 1  1  1 0
. x . .    .      |   2 |   * 360   *   * |   1   0  0   1   1   1   0   0 |  1  1  1  0  0  1  1  1  0 | 1 1  1  0 1
. . x .    .      |   2 |   *   * 360   * |   0   1  0   1   0   0   1   1 |  1  0  0  1  1  1  1  0  1 | 1 1  0  1 1
. . . x    .      |   2 |   *   *   * 180 |   0   0  1   0   2   0   2   0 |  0  2  0  2  0  2  0  1  1 | 2 0  1  1 1
------------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x . .    .      |   6 |   3   3   0   0 | 120   *  *   *   *   *   *   * |  1  1  1  0  0  0  0  0  0 | 1 1  1  0 0
x . x .    .      |   4 |   2   0   2   0 |   * 180  *   *   *   *   *   * |  1  0  0  1  1  0  0  0  0 | 1 1  0  1 0
x . . x    .      |   4 |   2   0   0   2 |   *   * 90   *   *   *   *   * |  0  2  0  2  0  0  0  0  0 | 2 0  1  1 0
. x3x .    .      |   6 |   0   3   3   0 |   *   *  * 120   *   *   *   * |  1  0  0  0  0  1  1  0  0 | 1 1  0  0 1
. x . x    .      |   4 |   0   2   0   2 |   *   *  *   * 180   *   *   * |  0  1  0  0  0  1  0  1  0 | 1 0  1  0 1
. x . . *b3o      |   3 |   0   3   0   0 |   *   *  *   *   * 120   *   * |  0  0  1  0  0  0  1  1  0 | 0 1  1  0 1
. . x3x    .      |   6 |   0   0   3   3 |   *   *  *   *   *   * 120   * |  0  0  0  1  0  1  0  0  1 | 1 0  0  1 1
. . x .    o3/2*c |   3 |   0   0   3   0 |   *   *  *   *   *   *   * 120 |  0  0  0  0  1  0  1  0  1 | 0 1  0  1 1
------------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x .    .      ♦  24 |  12  12  12   0 |   4   6  0   4   0   0   0   0 | 30  *  *  *  *  *  *  *  * | 1 1  0  0 0
x3x . x    .      ♦  12 |   6   6   0   6 |   2   0  3   0   3   0   0   0 |  * 60  *  *  *  *  *  *  * | 1 0  1  0 0
x3x . . *b3o      ♦  12 |   6  12   0   0 |   4   0  0   0   0   4   0   0 |  *  * 30  *  *  *  *  *  * | 0 1  1  0 0
x . x3x    .      ♦  12 |   6   0   6   6 |   0   3  3   0   0   0   2   0 |  *  *  * 60  *  *  *  *  * | 1 0  0  1 0
x . x .    o3/2*c ♦   6 |   3   0   6   0 |   0   3  0   0   0   0   0   2 |  *  *  *  * 60  *  *  *  * | 0 1  0  1 0
. x3x3x    .      ♦  24 |   0  12  12  12 |   0   0  0   4   6   0   4   0 |  *  *  *  *  * 30  *  *  * | 1 0  0  0 1
. x3x . *b3o3/2*c ♦  12 |   0  12  12   0 |   0   0  0   4   0   4   0   4 |  *  *  *  *  *  * 30  *  * | 0 1  0  0 1
. x . x *b3o      ♦   6 |   0   6   0   3 |   0   0  0   0   3   2   0   0 |  *  *  *  *  *  *  * 60  * | 0 0  1  0 1
. . x3x    o3/2*c ♦  12 |   0   0  12   6 |   0   0  0   0   0   0   4   4 |  *  *  *  *  *  *  *  * 30 | 0 0  0  1 1
------------------+-----+-----------------+--------------------------------+----------------------------+------------
x3x3x3x    .      ♦ 120 |  60  60  60  60 |  20  30 30  20  30   0  20   0 |  5 10  0 10  0  5  0  0  0 | 6 *  *  * *
x3x3x . *b3o3/2*c ♦  60 |  30  60  60   0 |  20  30  0  20   0  20   0  20 |  5  0  5  0 10  0  5  0  0 | * 6  *  * *
x3x . x *b3o      ♦  24 |  12  24   0  12 |   8   0  6   0  12   8   0   0 |  0  4  2  0  0  0  0  4  0 | * * 15  * *
x . x3x    o3/2*c ♦  24 |  12   0  24  12 |   0  12  6   0   0   0   8   8 |  0  0  0  4  4  0  0  0  2 | * *  * 15 *
. x3x3x *b3o3/2*c ♦  60 |   0  60  60  30 |   0   0  0  20  30  20  20  20 |  0  0  0  0  0  5  5 10  5 | * *  *  * 6