Acronym tetdippa octdip
Name tetrahedral-duoprism atop octahedral-duoprism,
vertex-first subsegment of the hexadecaexon
Circumradius 1
Face vector 52, 336, 740, 776, 428, 124, 18
Confer
uniform relative:
he  
general polytopal classes:
segmentoexa   lace simplices  

Incidence matrix according to Dynkin symbol

xo3ox3oo xo3ox3oo&#x   → height = 1/2
(tetdip || octdip)

o.3o.3o. o.3o.3o.      | 16  * |  6   9   0 |  6  9  18  18  0  0   0 | 2 18 18  9  18  6   9  0  0  0 |  6  9  6 18 18  6  6  0  0  0  0 | 6  6  6  9  6  1 0 0 | 1 6 2 0
.o3.o3.o .o3.o3.o      |  * 36 |  0   4   8 |  0  0   4  16  4  4  16 | 0  0  8  1   8  8  16  2 16 16 |  0  0  4  4 16  4 16  8  4  8  4 | 0  2  8  4  8  4 4 4 | 0 4 4 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x. .. .. .. .. ..    & |  2  0 | 48   *   * |  2  3   3   0  0  0   0 | 1  9  6  3   3  0   0  0  0  0 |  4  6  3  9  6  1  0  0  0  0  0 | 5  4  3  6  2  0 0 0 | 1 5 1 0
oo3oo3oo oo3oo3oo&#x   |  1  1 |  * 144   * |  0  0   2   4  0  0   0 | 0  0  4  1   4  2   4  0  0  0 |  0  0  2  4  8  2  4  0  0  0  0 | 0  2  4  4  4  1 0 0 | 0 4 2 0
.. .x .. .. .. ..    & |  0  2 |  *   * 144 |  0  0   0   2  1  1   4 | 0  0  2  0   1  2   4  1  6  6 |  0  0  2  1  6  1  6  5  2  4  2 | 0  1  5  2  4  2 3 3 | 0 3 3 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x.3o. .. .. .. ..    & |  3  0 |  3   0   0 | 32  *   *   *  *  *   * | 1  3  3  0   0  0   0  0  0  0 |  3  3  3  3  3  0  0  0  0  0  0 | 4  3  3  3  1  0 0 0 | 1 4 1 0
x. .. .. x. .. ..      |  4  0 |  4   0   0 |  * 36   *   *  *  *   * | 0  4  0  1   0  0   0  0  0  0 |  2  4  0  4  0  0  0  0  0  0  0 | 4  2  0  4  0  0 0 0 | 1 4 0 0
xo .. .. .. .. ..&#x & |  2  1 |  1   2   0 |  *  * 144   *  *  *   * | 0  0  2  1   2  0   0  0  0  0 |  0  0  1  4  4  1  0  0  0  0  0 | 0  2  2  4  2  0 0 0 | 0 4 1 0
.. ox .. .. .. ..&#x & |  1  2 |  0   2   1 |  *  *   * 288  *  *   * | 0  0  1  0   1  1   2  0  0  0 |  0  0  1  1  4  1  3  0  0  0  0 | 0  1  3  2  3  1 0 0 | 0 3 2 0
.o3.x .. .. .. ..    & |  0  3 |  0   0   3 |  *  *   *   * 48  *   * | 0  0  2  0   0  0   0  1  4  0 |  0  0  2  1  4  0  0  4  2  2  0 | 0  1  4  2  2  0 3 2 | 0 3 2 1
.. .x3.o .. .. ..    & |  0  3 |  0   0   3 |  *  *   *   *  * 48   * | 0  0  0  0   0  2   0  1  0  4 |  0  0  2  0  0  1  4  4  0  2  2 | 0  1  4  0  2  2 2 3 | 0 2 3 1
.. .x .. .. .x ..      |  0  4 |  0   0   4 |  *  *   *   *  *  * 144 | 0  0  0  0   0  0   1  0  2  2 |  0  0  0  0  2  0  2  2  1  2  1 | 0  0  2  1  2  1 2 2 | 0 2 2 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x.3o.3o. .. .. ..    &   4  0 |  6   0   0 |  4  0   0   0  0  0   0 | 8  *  *  *   *  *   *  *  *  * |  3  0  3  0  0  0  0  0  0  0  0 | 3  3  3  0  0  0 0 0 | 1 3 1 0
x.3o. .. x. .. ..    &   6  0 |  9   0   0 |  2  3   0   0  0  0   0 | * 48  *  *   *  *   *  *  *  * |  1  2  0  1  0  0  0  0  0  0  0 | 3  1  0  2  0  0 0 0 | 1 3 0 0
xo3ox .. .. .. ..&#x &   3  3 |  3   6   3 |  1  0   3   3  1  0   0 | *  * 96  *   *  *   *  *  *  * |  0  0  1  1  2  0  0  0  0  0  0 | 0  1  2  2  1  0 0 0 | 0 3 1 0
xo .. .. xo .. ..&#x     4  1 |  4   4   0 |  0  1   4   0  0  0   0 | *  *  * 36   *  *   *  *  *  * |  0  0  0  4  0  0  0  0  0  0  0 | 0  2  0  4  0  0 0 0 | 0 4 0 0
xo .. .. .. ox ..&#x &   2  2 |  1   4   1 |  0  0   2   2  0  0   0 | *  *  *  * 144  *   *  *  *  * |  0  0  0  1  2  1  0  0  0  0  0 | 0  1  1  2  2  0 0 0 | 0 3 1 0
.. ox3oo .. .. ..&#x &   1  3 |  0   3   3 |  0  0   0   3  0  1   0 | *  *  *  *   * 96   *  *  *  * |  0  0  1  0  0  1  2  0  0  0  0 | 0  1  2  0  2  1 0 0 | 0 2 2 0
.. ox .. .. ox ..&#x     1  4 |  0   4   4 |  0  0   0   4  0  0   1 | *  *  *  *   *  * 144  *  *  * |  0  0  0  0  2  0  2  0  0  0  0 | 0  0  2  1  2  1 0 0 | 0 2 2 0
.o3.x3.o .. .. ..    &   0  6 |  0   0  12 |  0  0   0   0  4  4   0 | *  *  *  *   *  *   * 12  *  * |  0  0  2  0  0  0  0  4  0  0  0 | 0  1  4  0  0  0 2 2 | 0 2 2 1
.o3.x .. .. .x ..    &   0  6 |  0   0   9 |  0  0   0   0  2  0   3 | *  *  *  *   *  *   *  * 96  * |  0  0  0  0  1  0  0  1  1  1  0 | 0  0  1  1  1  0 2 1 | 0 2 1 1
.. .x3.o .. .x ..    &   0  6 |  0   0   9 |  0  0   0   0  0  2   3 | *  *  *  *   *  *   *  *  * 96 |  0  0  0  0  0  0  1  1  0  1  1 | 0  0  1  0  1  1 1 2 | 0 1 2 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x.3o.3o. x. .. ..    &   8  0 | 16   0   0 |  8  6   0   0  0  0   0 | 2  4  0  0   0  0   0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  * | 2  1  0  0  0  0 0 0 | 1 2 0 0
x.3o. .. x.3o. ..        9  0 | 18   0   0 |  6  9   0   0  0  0   0 | 0  6  0  0   0  0   0  0  0  0 |  * 16  *  *  *  *  *  *  *  *  * | 2  0  0  1  0  0 0 0 | 1 2 0 0
xo3ox3oo .. .. ..&#x &   4  6 |  6  12  12 |  4  0   6  12  4  4   0 | 1  0  4  0   0  4   0  1  0  0 |  *  * 24  *  *  *  *  *  *  *  * | 0  1  2  0  0  0 0 0 | 0 2 1 0
xo3ox .. xo .. ..&#x &   6  3 |  9  12   3 |  2  3  12   6  1  0   0 | 0  1  2  3   3  0   0  0  0  0 |  *  *  * 48  *  *  *  *  *  *  * | 0  1  0  2  0  0 0 0 | 0 3 0 0
xo3ox .. .. ox ..&#x &   3  6 |  3  12   9 |  1  0   6  12  2  0   3 | 0  0  2  0   3  0   3  0  1  0 |  *  *  *  * 96  *  *  *  *  *  * | 0  0  1  1  1  0 0 0 | 0 2 1 0
xo .. .. .. ox3oo&#x &   2  3 |  1   6   3 |  0  0   3   6  0  1   0 | 0  0  0  0   3  2   0  0  0  0 |  *  *  *  *  * 48  *  *  *  *  * | 0  1  0  0  2  0 0 0 | 0 2 1 0
.. ox3oo .. ox ..&#x &   1  6 |  0   6   9 |  0  0   0   9  0  2   3 | 0  0  0  0   0  2   3  0  0  1 |  *  *  *  *  *  * 96  *  *  *  * | 0  0  1  0  1  1 0 0 | 0 1 2 0
.o3.x3.o .. .x ..    &   0 12 |  0   0  30 |  0  0   0   0  8  8  12 | 0  0  0  0   0  0   0  2  4  4 |  *  *  *  *  *  *  * 24  *  *  * | 0  0  1  0  0  0 1 1 | 0 1 1 1
.o3.x .. .o3.x ..        0  9 |  0   0  18 |  0  0   0   0  6  0   9 | 0  0  0  0   0  0   0  0  6  0 |  *  *  *  *  *  *  *  * 16  *  * | 0  0  0  1  0  0 2 0 | 0 2 0 1
.o3.x .. .. .x3.o    &   0  9 |  0   0  18 |  0  0   0   0  3  3   9 | 0  0  0  0   0  0   0  0  3  3 |  *  *  *  *  *  *  *  *  * 32  * | 0  0  0  0  1  0 1 1 | 0 1 1 1
.. .x3.o .. .x3.o        0  9 |  0   0  18 |  0  0   0   0  0  6   9 | 0  0  0  0   0  0   0  0  0  6 |  *  *  *  *  *  *  *  *  *  * 16 | 0  0  0  0  0  1 0 2 | 0 0 2 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x.3o.3o. x.3o. ..    &  12  0 | 30   0   0 | 16 18   0   0  0  0   0 | 3 18  0  0   0  0   0  0  0  0 |  3  4  0  0  0  0  0  0  0  0  0 | 8  *  *  *  *  * * * | 1 1 0 0
xo3ox3oo xo .. ..&#x &   8  6 | 16  24  12 |  8  6  24  24  4  4   0 | 2  4  8  6  12  8   0  1  0  0 |  1  0  2  4  0  4  0  0  0  0  0 | * 12  *  *  *  * * * | 0 2 0 0
xo3ox3oo .. ox ..&#x &   4 12 |  6  24  30 |  4  0  12  36  8  8  12 | 1  0  8  0   6  8  12  2  4  4 |  0  0  2  0  4  0  4  1  0  0  0 | *  * 24  *  *  * * * | 0 1 1 0
xo3ox .. xo3ox ..&#x     9  9 | 18  36  18 |  6  9  36  36  6  0   9 | 0  6 12  9  18  0   9  0  6  0 |  0  1  0  6  6  0  0  0  1  0  0 | *  *  * 16  *  * * * | 0 2 0 0
xo3ox .. .. ox3oo&#x &   3  9 |  3  18  18 |  1  0   9  27  3  3   9 | 0  0  3  0   9  6   9  0  3  3 |  0  0  0  0  3  3  3  0  0  1  0 | *  *  *  * 32  * * * | 0 1 1 0
.. ox3oo .. ox3oo&#x     1  9 |  0   9  18 |  0  0   0  18  0  6   9 | 0  0  0  0   0  6   9  0  0  6 |  0  0  0  0  0  0  6  0  0  0  1 | *  *  *  *  * 16 * * | 0 0 2 0
.o3.x3.o .o3.x ..    &   0 18 |  0   0  54 |  0  0   0   0 18 12  36 | 0  0  0  0   0  0   0  3 24 12 |  0  0  0  0  0  0  0  3  4  4  0 | *  *  *  *  *  * 8 * | 0 1 0 1
.o3.x3.o .. .x3.o    &   0 18 |  0   0  54 |  0  0   0   0 12 18  36 | 0  0  0  0   0  0   0  3 12 24 |  0  0  0  0  0  0  0  3  0  4  4 | *  *  *  *  *  * * 8 | 0 0 1 1
-----------------------+-------+------------+-------------------------+--------------------------------+----------------------------------+----------------------+--------
x.3o.3o. x.3o.3o.       16  0 | 48   0   0 | 32 36   0   0  0  0   0 | 8 48  0  0   0  0   0  0  0  0 | 12 16  0  0  0  0  0  0  0  0  0 | 8  0  0  0  0  0 0 0 | 1 * * *
xo3ox3oo xo3ox ..&#x &  12 18 | 30  72  54 | 16 18  72 108 18 12  36 | 3 18 36 18  54 24  36  3 24 12 |  3  4  6 18 24 12 12  3  4  4  0 | 1  3  3  4  4  0 1 0 | * 8 * *
xo3ox3oo .. ox3oo&#x &   4 18 |  6  36  54 |  4  0  18  72 12 18  36 | 1  0 12  0  18 24  36  3 12 24 |  0  0  3  0 12  6 24  3  0  4  4 | 0  0  3  0  4  4 0 1 | * * 8 *
.o3.x3.o .o3.x3.o        0 36 |  0   0 144 |  0  0   0   0 48 48 144 | 0  0  0  0   0  0   0 12 96 96 |  0  0  0  0  0  0  0 24 16 32 16 | 0  0  0  0  0  0 8 8 | * * * 1

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