Acronym bittin
Name bitruncated penteract
Circumradius sqrt(13/2) = 2.549510
Vertex figure
 ©
Coordinates (sqrt(2), sqrt(2), sqrt(2), 1/sqrt(2), 0)   & all permutations, all changes of sign
Confer
general polytopal classes:
partial Stott expansions  
External
links
hedrondude   wikipedia  

Incidence matrix according to Dynkin symbol

o3o3x3x4o

. . . . . | 320 |   3   2 |   3   6  1 |  1   6  3 |  2  3
----------+-----+---------+------------+-----------+------
. . x . . |   2 | 480   * |   2   2  0 |  1   4  1 |  2  2
. . . x . |   2 |   * 320 |   0   3  1 |  0   3  3 |  1  3
----------+-----+---------+------------+-----------+------
. o3x . . |   3 |   3   0 | 320   *  * |  1   2  0 |  2  1
. . x3x . |   6 |   3   3 |   * 320  * |  0   2  1 |  1  2
. . . x4o |   4 |   0   4 |   *   * 80 |  0   0  3 |  0  3
----------+-----+---------+------------+-----------+------
o3o3x . .    4 |   6   0 |   4   0  0 | 80   *  * |  2  0
. o3x3x .   12 |  12   6 |   4   4  0 |  * 160  * |  1  1
. . x3x4o   24 |  12  24 |   0   8  6 |  *   * 40 |  0  2
----------+-----+---------+------------+-----------+------
o3o3x3x .   20 |  30  10 |  20  10  0 |  5   5  0 | 32  *
. o3x3x4o   96 |  96  96 |  32  64 24 |  0  16  8 |  * 10

o3o3x3x4/3o

. . . .   . | 320 |   3   2 |   3   6  1 |  1   6  3 |  2  3
------------+-----+---------+------------+-----------+------
. . x .   . |   2 | 480   * |   2   2  0 |  1   4  1 |  2  2
. . . x   . |   2 |   * 320 |   0   3  1 |  0   3  3 |  1  3
------------+-----+---------+------------+-----------+------
. o3x .   . |   3 |   3   0 | 320   *  * |  1   2  0 |  2  1
. . x3x   . |   6 |   3   3 |   * 320  * |  0   2  1 |  1  2
. . . x4/3o |   4 |   0   4 |   *   * 80 |  0   0  3 |  0  3
------------+-----+---------+------------+-----------+------
o3o3x .   .    4 |   6   0 |   4   0  0 | 80   *  * |  2  0
. o3x3x   .   12 |  12   6 |   4   4  0 |  * 160  * |  1  1
. . x3x4/3o   24 |  12  24 |   0   8  6 |  *   * 40 |  0  2
------------+-----+---------+------------+-----------+------
o3o3x3x   .   20 |  30  10 |  20  10  0 |  5   5  0 | 32  *
. o3x3x4/3o   96 |  96  96 |  32  64 24 |  0  16  8 |  * 10

x3x3x *b3o3o

. . .    . . | 320 |   1   3   1 |   3  1   3   3 |  3  3  3  1 |  3  1  1
-------------+-----+-------------+----------------+-------------+---------
x . .    . . |   2 | 160   *   * |   3  1   0   0 |  3  3  0  0 |  3  1  0
. x .    . . |   2 |   * 480   * |   1  0   1   2 |  1  2  2  1 |  2  1  1
. . x    . . |   2 |   *   * 160 |   0  1   3   0 |  3  0  3  0 |  3  0  1
-------------+-----+-------------+----------------+-------------+---------
x3x .    . . |   6 |   3   3   0 | 160  *   *   * |  1  2  0  0 |  2  1  0
x . x    . . |   4 |   2   0   2 |   * 80   *   * |  3  0  0  0 |  3  0  0
. x3x    . . |   6 |   0   3   3 |   *  * 160   * |  1  0  2  0 |  2  0  1
. x . *b3o . |   3 |   0   3   0 |   *  *   * 320 |  0  1  1  1 |  1  1  1
-------------+-----+-------------+----------------+-------------+---------
x3x3x    . .   24 |  12  12  12 |   4  6   4   0 | 40  *  *  * |  2  0  0
x3x . *b3o .   12 |   6  12   0 |   4  0   0   4 |  * 80  *  * |  1  1  0
. x3x *b3o .   12 |   0  12   6 |   0  0   4   4 |  *  * 80  * |  1  0  1
. x . *b3o3o    4 |   0   6   0 |   0  0   0   4 |  *  *  * 80 |  0  1  1
-------------+-----+-------------+----------------+-------------+---------
x3x3x *b3o .   96 |  48  96  48 |  32 24  32  32 |  8  8  8  0 | 10  *  *
x3x . *b3o3o   20 |  10  30   0 |  10  0   0  20 |  0  5  0  5 |  * 16  *
. x3x *b3o3o   20 |   0  30  10 |   0  0  10  20 |  0  0  5  5 |  *  * 16

o3o3x3x4s

demi( . . . . . ) | 320 |   3   1   1 |   3   3  1   3 |  1  3  3  3 |  1  3  1
------------------+-----+-------------+----------------+-------------+---------
demi( . . x . . ) |   2 | 480   *   * |   2   1  0   1 |  1  2  1  2 |  1  2  1
demi( . . . x . ) |   2 |   * 160   * |   0   3  1   0 |  0  3  3  0 |  1  3  0
sefa( . . . x4s ) |   2 |   *   * 160 |   0   0  1   3 |  0  0  3  3 |  0  3  1
------------------+-----+-------------+----------------+-------------+---------
demi( . o3x . . ) |   3 |   3   0   0 | 320   *  *   * |  1  1  0  1 |  1  1  1
demi( . . x3x . ) |   6 |   3   3   0 |   * 160  *   * |  0  2  1  0 |  1  2  0
      . . . x4s   |   4 |   0   2   2 |   *   * 80   * |  0  0  3  0 |  0  3  0
sefa( . . x3x4s ) |   6 |   3   0   3 |   *   *  * 160 |  0  0  1  2 |  0  2  1
------------------+-----+-------------+----------------+-------------+---------
demi( o3o3x . . )    4 |   6   0   0 |   4   0  0   0 | 80  *  *  * |  1  0  1
demi( . o3x3x . )   12 |  12   6   0 |   4   4  0   0 |  * 80  *  * |  1  1  0
      . . x3x4s     24 |  12  12  12 |   0   4  6   4 |  *  * 40  * |  0  2  0
sefa( . o3x3x4s )   12 |  12   0   6 |   4   0  0   4 |  *  *  * 80 |  0  1  1
------------------+-----+-------------+----------------+-------------+---------
demi( o3o3x3x . )   20 |  30  10   0 |  20  10  0   0 |  5  5  0  0 | 16  *  *
      . o3x3x4s     96 |  96  48  48 |  32  32 24  32 |  0  8  8  8 |  * 10  *
sefa( o3o3x3x4s )   20 |  30   0  10 |  20   0  0  10 |  5  0  0  5 |  *  * 16

starting figure: o3o3x3x4x

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