Acronym	tag
Name	truncated hexacontitetrapeton, equatorial cross-section of gee-first taz
Circumradius	sqrt(5/2) = 1.581139
Inradius wrt. tac	sqrt(2) = 1.414214
Inradius wrt. tix	sqrt(3)/2 = 0.866025
Coordinates	(sqrt(2), 1/sqrt(2), 0, 0, 0, 0)   & all permutations, all changes of sign
Volume	241/30 = 8.033333
Surface	(2 sqrt(2)+158 sqrt(3))/5 = 55.298491
Dihedral angles (at margins)	at tip between tix and tix:   arccos(-2/3) = 131.810315° at pen between tac and tix:   arccos[-1/sqrt(6)] = 114.094843°
Face vector	120, 540, 1120, 1200, 576, 76
Confer	general polytopal classes: Wythoffian polypeta   lace simplices   analogs: truncated orthoplex tOn
External links

Incidence matrix according to Dynkin symbol

x3x3o3o3o4o

. . . . . . | 120 |  1   8 |   8  24 |  24  32 |  32  16 | 16  1
------------+-----+--------+---------+---------+---------+------
x . . . . . |   2 | 60   * ♦   8   0 |  24   0 |  32   0 | 16  0
. x . . . . |   2 |  * 480 |   1   6 |   6  12 |  12   8 |  8  1
------------+-----+--------+---------+---------+---------+------
x3x . . . . |   6 |  3   3 | 160   * ♦   6   0 |  12   0 |  8  0
. x3o . . . |   3 |  0   3 |   * 960 |   1   4 |   4   4 |  4  1
------------+-----+--------+---------+---------+---------+------
x3x3o . . . ♦  12 |  6  12 |   4   4 | 240   * |   4   0 |  4  0
. x3o3o . . ♦   4 |  0   6 |   0   4 |   * 960 |   1   2 |  2  1
------------+-----+--------+---------+---------+---------+------
x3x3o3o . . ♦  20 | 10  30 |  10  20 |   5   5 | 192   * |  2  0
. x3o3o3o . ♦   5 |  0  10 |   0  10 |   0   5 |   * 384 |  1  1
------------+-----+--------+---------+---------+---------+------
x3x3o3o3o . ♦  30 | 15  60 |  20  60 |  15  30 |   6   6 | 64  *
. x3o3o3o4o ♦  10 |  0  40 |   0  80 |   0  80 |   0  32 |  * 12

x3x3o3o3o4/3o

. . . . .   . | 120 |  1   8 |   8  24 |  24  32 |  32  16 | 16  1
--------------+-----+--------+---------+---------+---------+------
x . . . .   . |   2 | 60   * ♦   8   0 |  24   0 |  32   0 | 16  0
. x . . .   . |   2 |  * 480 |   1   6 |   6  12 |  12   8 |  8  1
--------------+-----+--------+---------+---------+---------+------
x3x . . .   . |   6 |  3   3 | 160   * ♦   6   0 |  12   0 |  8  0
. x3o . .   . |   3 |  0   3 |   * 960 |   1   4 |   4   4 |  4  1
--------------+-----+--------+---------+---------+---------+------
x3x3o . .   . ♦  12 |  6  12 |   4   4 | 240   * |   4   0 |  4  0
. x3o3o .   . ♦   4 |  0   6 |   0   4 |   * 960 |   1   2 |  2  1
--------------+-----+--------+---------+---------+---------+------
x3x3o3o .   . ♦  20 | 10  30 |  10  20 |   5   5 | 192   * |  2  0
. x3o3o3o   . ♦   5 |  0  10 |   0  10 |   0   5 |   * 384 |  1  1
--------------+-----+--------+---------+---------+---------+------
x3x3o3o3o   . ♦  30 | 15  60 |  20  60 |  15  30 |   6   6 | 64  *
. x3o3o3o4/3o ♦  10 |  0  40 |   0  80 |   0  80 |   0  32 |  * 12

o3o3o *b3o3x3x

. . .    . . . | 120 |   8  1 |  24   8 |  32  24 |   8   8  32 |  1  8  8
---------------+-----+--------+---------+---------+-------------+---------
. . .    . x . |   2 | 480  * |   6   1 |  12   6 |   4   4  12 |  1  4  4
. . .    . . x |   2 |   * 60 ♦   0   8 |   0  24 |   0   0  32 |  0  8  8
---------------+-----+--------+---------+---------+-------------+---------
. . .    o3x . |   3 |   3  0 | 960   * |   4   1 |   2   2   4 |  1  2  2
. . .    . x3x |   6 |   3  3 |   * 160 ♦   0   6 |   0   0  12 |  0  4  4
---------------+-----+--------+---------+---------+-------------+---------
. o . *b3o3x . ♦   4 |   6  0 |   4   0 | 960   * |   1   1   1 |  1  1  1
. . .    o3x3x ♦  12 |  12  6 |   4   4 |   * 240 |   0   0   4 |  0  2  2
---------------+-----+--------+---------+---------+-------------+---------
o3o . *b3o3x . ♦   5 |  10  0 |  10   0 |   5   0 | 192   *   * |  1  1  0
. o3o *b3o3x . ♦   5 |  10  0 |  10   0 |   5   0 |   * 192   * |  1  0  1
. o . *b3o3x3x ♦  20 |  30 10 |  20  10 |   5   5 |   *   * 192 |  0  1  1
---------------+-----+--------+---------+---------+-------------+---------
o3o3o *b3o3x . ♦  10 |  40  0 |  80   0 |  80   0 |  16  16   0 | 12  *  *
o3o . *b3o3x3x ♦  30 |  60 15 |  60  20 |  30  15 |   6   0   6 |  * 32  *
. o3o *b3o3x3x ♦  30 |  60 15 |  60  20 |  30  15 |   0   6   6 |  *  * 32