Acronym gohip
Name great hexacosachoron prism
Circumradius sqrt[7+2 sqrt(5)]/2 = 1.693527
Coordinates
  1. (τ, 0, 0, 0; 1/2)             & all permutations in all but last coord., all changes of sign
  2. (τ/2, τ/2, τ/2, τ/2; 1/2)   & all permutations in all but last coord., all changes of sign
  3. (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, 2160, 960, 122
Confer
general polytopal classes:
Wythoffian polytera   segmentotera  

Incidence matrix according to Dynkin symbol

x x5o5/2o5o

. . .   . . | 240 |   1   12 |  12   30 |  30  12 |  12 1
------------+-----+----------+----------+---------+------
x . .   . . |   2 | 120    * ♦  12    0 |  30   0 |  12 0
. x .   . . |   2 |   * 1440 |   1    5 |   5   5 |   5 1
------------+-----+----------+----------+---------+------
x x .   . . |   4 |   2    2 | 720    * |   5   0 |   5 0
. x5o   . . |   5 |   0    5 |   * 1440 |   1   2 |   2 1
------------+-----+----------+----------+---------+------
x x5o   . . ♦  10 |   5   10 |   5    2 | 720   * |   2 0
. x5o5/2o . ♦  12 |   0   30 |   0   12 |   * 240 |   1 1
------------+-----+----------+----------+---------+------
x x5o5/2o . ♦  24 |  12   60 |  30   24 |  12   2 | 120 *
. x5o5/2o5o ♦ 120 |   0  720 |   0  720 |   0 120 |   * 2

snubbed forms: β2β5o5/2o5o

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