Acronym icodip
Name icositetrachoron duoprism
Circumradius sqrt(2) = 1.414214
Volume 4
Face vector 576, 4608, 13824, 19584, 13872, 4800, 768, 48
Confer
general polytopal classes:
Wythoffian polyzetta   noble polytopes  

Incidence matrix according to Dynkin symbol

x3o4o3o x3o4o3o

o3o4o3o o3o4o3o | 576 |    8    8 |   12   64   12 |   6   96   96   6 |  1   48  144   48  1 |  8   72   72  8 | 12  36 12 |  6  6
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x . . . . . . . |   2 | 2304    * |    3    8    0 |   3   24   12   0 |  1   24   36    6  0 |  8   32   18  1 | 12  18  3 |  6  3
. . . . x . . . |   2 |    * 2304 |    0    8    3 |   0   12   24   3 |  0    6   36   24  1 |  1   18   32  8 |  3  18 12 |  3  6
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o . . . . . . |   3 |    3    0 | 2304    *    * |   2    8    0   0 |  1   16   12    0  0 |  8   24    6  0 | 12  12  1 |  6  2
x . . . x . . . |   4 |    2    2 |    * 9216    *    0    3    3   0 |  0    3    9    3  0 |  1    9    9  1 |  3   9  3 |  3  3
. . . . x3o . . |   3 |    0    3 |    *    * 2304 |   0    0    8   2 |  0    0   12   16  1 |  0    6   24  8 |  1  12 12 |  2  6
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o4o . . . . .    6 |   12    0 |    8    0    0 | 576    *    *   * |  1    8    0    0  0 |  8   12    0  0 | 12   6  0 |  6  1
x3o . . x . . .    6 |    6    3 |    2    3    0 |   * 9216    *   *   0    2    3    0  0 |  1    6    3  0 |  3   6  1 |  3  2
x . . . x3o . .    6 |    3    6 |    0    3    2 |   *    * 9216   *   0    0    3    2  0 |  0    3    6  1 |  1   6  3 |  2  3
. . . . x3o4o .    6 |    0   12 |    0    0    8 |   *    *    * 576 |  0    0    0    8  1 |  0    0   12  8 |  0   6 12 |  1  6
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o4o3o . . . .   24 |   96    0 |   96    0    0 |  24    0    0   0 | 24    *    *    *  *   8    0    0  0 | 12   0  0 |  6  0
x3o4o . x . . .   12 |   24    6 |   16   12    0 |   2    8    0   0 |  * 2304    *    *  *   1    3    0  0 |  3   3  0 |  3  1
x3o . . x3o . .    9 |    9    9 |    3    9    3 |   0    3    3   0 |  *    * 9216    *  *   0    2    2  0 |  1   4  1 |  2  2
x . . . x3o4o .   12 |    6   24 |    0   12   16 |   0    0    8   2 |  *    *    * 2304  *   0    0    3  1 |  0   3  3 |  1  3
. . . . x3o4o3o   24 |    0   96 |    0    0   96 |   0    0    0  24 |  *    *    *    * 24   0    0    0  8 |  0   0 12 |  0  6
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o4o3o x . . .   48 |  192   24 |  192   96    0 |  48   96    0   0 |  2   24    0    0  0 | 96    *    *  * |  3   0  0 |  3  0
x3o4o . x3o . .   18 |   32   18 |   24   36    6 |   3   24   12   0 |  0    3    8    0  0 |  * 2304    *  * |  1   2  0 |  2  1
x3o . . x3o4o .   18 |   18   32 |    6   36   24 |   0   12   24   3 |  0    0    8    3  0 |  *    * 2304  * |  0   2  1 |  1  2
x . . . x3o4o3o   48 |   24  192 |    0   96  192 |   0    0   96  48 |  0    0    0   24  2 |  *    *    * 96 |  0   0  3 |  0  3
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o4o3o x3o . .   72 |  288   72 |  288  288   24 |  72  288   96   0 |  3   72   96    0  0 |  3   24    0  0 | 96   *  * |  2  0
x3o4o . x3o4o .   36 |   72   72 |   48  144   48 |   6   96   96   6 |  0   12   64   12  0 |  0    8    8  0 |  * 576  * |  1  1
x3o . . x3o4o3o   72 |   72  288 |   24  288  288 |   0   96  288  72 |  0    0   96   72  3 |  0    0   24  3 |  *   * 96 |  0  2
----------------+-----+-----------+----------------+-------------------+----------------------+-----------------+-----------+------
x3o4o3o x3o4o .  144 |  576  288 |  576 1152  192 | 144 1152  768  24 |  6  288  768   96  0 | 12  192   96  0 |  8  24  0 | 24  *
x3o4o . x3o4o3o  144 |  288  576 |  192 1152  576 |  24  768 1152 144 |  0   96  768  288  6 |  0   96  192 12 |  0  24  8 |  * 24
or
o3o4o3o o3o4o3o   | 576 |   16 |   24   64 |   12   192 |  2   96  144 |  16  144 |  24  36 | 12
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x . . . . . . . & |   2 | 4608 |    3    8 |    3    36 |  1   30   36 |   9   50 |  15  18 |  9
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o . . . . . . & |   3 |    3 | 4608    * |    2     8 |  1   16   12 |   8   30 |  13  12 |  8
x . . . x . . .   |   4 |    4 |    * 9216     0     6 |  0    6    9 |   2   18 |   6   9 |  6
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o4o . . . . . &    6 |   12 |    8    0 | 1152     * |  1    8    0 |   8   12 |  12   6 |  7
x3o . . x . . . &    6 |    9 |    2    3 |    * 18432   0    2    3 |   1    9 |   4   6 |  5
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o4o3o . . . . &   24 |   96 |   96    0 |   24     0 | 48    *    *    8    0 |  12   0 |  6
x3o4o . x . . . &   12 |   30 |   16   12 |    2     8 |  * 4608    *    1    3 |   3   3 |  4
x3o . . x3o . .      9 |   18 |    6    9 |    0     6 |  *    * 9216    0    4 |   2   4 |  4
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o4o3o x . . . &   48 |  216 |  192   96 |   48    96 |  2   24    0 | 192    * |   3   0 |  3
x3o4o . x3o . . &   18 |   50 |   30   36 |    3    36 |  0    3    8 |   * 4608 |   1   2 |  3
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o4o3o x3o . . &   72 |  360 |  312  288 |   72   384 |  3   72   96 |   3   24 | 192   * |  2
x3o4o . x3o4o .     36 |  144 |   96  144 |   12   192 |  0   24   64 |   0   16 |   * 576 |  2
------------------+-----+------+-----------+------------+--------------+----------+---------+---
x3o4o3o x3o4o . &  144 |  864 |  768 1152 |  168  1920 |  6  384  768 |  12  288 |   8  24 | 48

o3x3o *b3o o3x3o *f3o

...

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