Acronym	exip
Name	hexacosachoron prism
Circumradius	sqrt[7+2 sqrt(5)]/2 = 1.693527
Coordinates	(τ, 0, 0, 0; 1/2)             & all permutations in all but last coord., all changes of sign (τ/2, τ/2, τ/2, τ/2; 1/2)   & all permutations in all but last coord., all changes of sign (τ2/2, τ/2, 1/2, 0; 1/2)   & even permutations in all but last coord., all changes of sign where τ = (1+sqrt(5))/2
Face vector	240, 1560, 3120, 2400, 602
Confer	general polytopal classes: Wythoffian polytera   segmentotera
External links

Incidence matrix according to Dynkin symbol

x x3o3o5o

. . . . . | 240 |   1   12 |  12   30 |   30   20 |  20 1
----------+-----+----------+----------+-----------+------
x . . . . |   2 | 120    * ♦  12    0 |   30    0 |  20 0
. x . . . |   2 |   * 1440 |   1    5 |    5    5 |   5 1
----------+-----+----------+----------+-----------+------
x x . . . |   4 |   2    2 | 720    * |    5    0 |   5 0
. x3o . . |   3 |   0    3 |   * 2400 |    1    2 |   2 1
----------+-----+----------+----------+-----------+------
x x3o . . ♦   6 |   3    6 |   3    2 | 1200    * |   2 0
. x3o3o . ♦   4 |   0    6 |   0    4 |    * 1200 |   1 1
----------+-----+----------+----------+-----------+------
x x3o3o . ♦   8 |   4   12 |   6    8 |    4    2 | 600 *
. x3o3o5o ♦ 120 |   0  720 |   0 1200 |    0  600 |   * 2