Acronym hinnip
Name hemipenteractic prism,
vertex figure of ranq
Circumradius sqrt(7/8) = 0.935414
Coordinates (1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/2)   & all even changes of sign in all but last coord., change of sign in last coord.
Confer
related segmentopeta:
tetafip  
general polytopal classes:
segmentopeta  

Incidence matrix according to Dynkin symbol

x x3o3o *c3o3o

. . . .    . . | 32 |  1  10 | 10  30 |  30 10  20 | 10 20  5  5 |  5  5 1
---------------+----+--------+--------+------------+-------------+--------
x . . .    . . |  2 | 16   *  10   0 |  30  0   0 | 10 20  0  0 |  5  5 0
. x . .    . . |  2 |  * 160 |  1   6 |   6  3   6 |  3  6  3  2 |  3  2 1
---------------+----+--------+--------+------------+-------------+--------
x x . .    . . |  4 |  2   2 | 80   *    6  0   0 |  3  6  0  0 |  3  2 0
. x3o .    . . |  3 |  0   3 |  * 320 |   1  1   2 |  1  2  2  1 |  2  1 1
---------------+----+--------+--------+------------+-------------+--------
x x3o .    . .   6 |  3   6 |  3   2 | 160  *   * |  1  2  0  0 |  2  1 0
. x3o3o    . .   4 |  0   6 |  0   4 |   * 80   * |  1  0  2  0 |  2  0 1
. x3o . *c3o .   4 |  0   6 |  0   4 |   *  * 160 |  0  1  1  1 |  1  1 1
---------------+----+--------+--------+------------+-------------+--------
x x3o3o    . .   8 |  4  12 |  6   8 |   4  2   0 | 40  *  *  * |  2  0 0
x x3o . *c3o .   8 |  4  12 |  6   8 |   4  0   2 |  * 80  *  * |  1  1 0
. x3o3o *c3o .   8 |  0  24 |  0  32 |   0  8   8 |  *  * 20  * |  1  0 1
. x3o . *c3o3o   5 |  0  10 |  0  10 |   0  0   5 |  *  *  * 32 |  0  1 1
---------------+----+--------+--------+------------+-------------+--------
x x3o3o *c3o .  16 |  8  48 | 24  64 |  32 16  16 |  8  8  2  0 | 10  * *
x x3o . *c3o3o  10 |  5  20 | 10  20 |  10  0  10 |  0  5  0  2 |  * 16 *
. x3o3o *c3o3o  16 |  0  80 |  0 160 |   0 40  80 |  0  0 10 16 |  *  * 2

xx3oo3oo *b3oo3oo&#x   → height = 1

o.3o.3o. *b3o.3o.    | 16  * | 10  1  0 |  30 10   0 | 10 20  30  0  0 |  5  5 10 20  0  0 | 1  5  5 0
.o3.o3.o *b3.o3.o    |  * 16 |  0  1 10 |   0 10  30 |  0  0  30 10 20 |  0  0 10 20  5  5 | 0  5  5 1
---------------------+-------+----------+------------+-----------------+-------------------+----------
x. .. ..    .. ..    |  2  0 | 80  *  * |   6  1   0 |  3  6   6  0  0 |  3  2  3  6  0  0 | 1  3  2 0
oo3oo3oo *b3oo3oo&#x |  1  1 |  * 16  *    0 10   0 |  0  0  30  0  0 |  0  0 10 20  0  0 | 0  5  5 0
.x .. ..    .. ..    |  0  2 |  *  * 80 |   0  1   6 |  0  0   6  3  6 |  0  0  3  6  3  2 | 0  3  2 1
---------------------+-------+----------+------------+-----------------+-------------------+----------
x.3o. ..    .. ..    |  3  0 |  3  0  0 | 160  *   * |  1  2   1  0  0 |  2  1  1  2  0  0 | 1  2  1 0
xx .. ..    .. ..&#x |  2  2 |  1  2  1 |   * 80   *   0  0   6  0  0 |  0  0  3  6  0  0 | 0  3  2 0
.x3.o ..    .. ..    |  0  3 |  0  0  3 |   *  * 160 |  0  0   1  1  2 |  0  0  1  2  2  1 | 0  2  1 1
---------------------+-------+----------+------------+-----------------+-------------------+----------
x.3o.3o.    .. ..      4  0 |  6  0  0 |   4  0   0 | 40  *   *  *  * |  2  0  1  0  0  0 | 1  2  0 0
x.3o. .. *b3o. ..      4  0 |  6  0  0 |   4  0   0 |  * 80   *  *  * |  1  1  0  1  0  0 | 1  1  1 0
xx3oo ..    .. ..&#x   3  3 |  3  3  3 |   1  3   1 |  *  * 160  *  * |  0  0  1  2  0  0 | 0  2  1 0
.x3.o3.o    .. ..      0  4 |  0  0  6 |   0  0   4 |  *  *   * 40  * |  0  0  1  0  2  0 | 0  2  0 1
.x3.o .. *b3.o ..      0  4 |  0  0  6 |   0  0   4 |  *  *   *  * 80 |  0  0  0  1  1  1 | 0  1  1 1
---------------------+-------+----------+------------+-----------------+-------------------+----------
x.3o.3o. *b3o. ..      8  0 | 24  0  0 |  32  0   0 |  8  8   0  0  0 | 10  *  *  *  *  * | 1  1  0 0
x.3o. .. *b3o.3o.      5  0 | 10  0  0 |  10  0   0 |  0  5   0  0  0 |  * 16  *  *  *  * | 1  0  1 0
xx3oo3oo    .. ..&#x   4  4 |  6  4  6 |   4  6   4 |  1  0   4  1  0 |  *  * 40  *  *  * | 0  2  0 0
xx3oo .. *b3oo ..&#x   4  4 |  6  4  6 |   4  6   4 |  0  1   4  0  1 |  *  *  * 80  *  * | 0  1  1 0
.x3.o3.o *b3.o ..      0  8 |  0  0 24 |   0  0  32 |  0  0   0  8  8 |  *  *  *  * 10  * | 0  1  0 1
.x3.o .. *b3.o3.o      0  5 |  0  0 10 |   0  0  10 |  0  0   0  0  5 |  *  *  *  *  * 16 | 0  0  1 1
---------------------+-------+----------+------------+-----------------+-------------------+----------
x.3o.3o. *b3o.3o.     16  0 | 80  0  0 | 160  0   0 | 40 80   0  0  0 | 10 16  0  0  0  0 | 1  *  * *
xx3oo3oo *b3oo ..&#x   8  8 | 24  8 24 |  32 24  32 |  8  8  32  8  8 |  1  0  8  8  1  0 | * 10  * *
xx3oo .. *b3oo3oo&#x   5  5 | 10  5 10 |  10 10  10 |  0  5  10  0  5 |  0  1  0  5  0  1 | *  * 16 *
.x3.o3.o *b3.o3.o      0 16 |  0  0 80 |   0  0 160 |  0  0   0 40 80 |  0  0  0  0 10 16 | *  *  * 1

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