Acronym	ginnont
Name	great penteractipenteractitriacontiditeron
Field of sections	©
Circumradius	sqrt[7-2 sqrt(2)]/2 = 1.021221
Inradius wrt. pen	[5-sqrt(2)]/sqrt(20) = 0.801806
Inradius wrt. gittith	1/2 = 0.5
Inradius wrt. tes	(sqrt(2)-1)/2 = 0.207107
Vertex figure	©
Coordinates	((sqrt(2)-1)/2, 1/2, 1/2, 1/2, 1/2)   & all permutations, all changes of sign
Volume	[149 sqrt(2)-120]/30 = 3.023927
Surface	[-65+120 sqrt(2)+sqrt(5)]/3 = 35.647232
Colonel of regiment	(is itself locally convex – other uniform polyteral members: by cells: gittith pen tepe tes tisdip ginnont 10 32 0 10 0 gabdacan 10 0 80 40 80 quacant 0 32 80 50 80   & others)
Dihedral angles (at margins)	at tet between gittith and pen:   arccos[-1/sqrt(5)] = 116.565051° at cube between gittith and tes:   90° at gocco between gittith and gittith:   90°
Face vector	160, 640, 640, 280, 52
Confer	general polytopal classes: Wythoffian polytera   analogs: gocco series
External links

As abstract polytope ginnont is isomorphic to sinnont, thereby replacing octagrams by octagons, resp. gocco by socco and gittith by steth.

Incidence matrix according to Dynkin symbol

o3o3o3x4/3x4*c

. . . .   .    | 160 |   4   4 |   6   6  4 |   4  4  6 |  1  1  4
---------------+-----+---------+------------+-----------+---------
. . . x   .    |   2 | 320   * |   3   0  1 |   3  0  3 |  1  0  3
. . . .   x    |   2 |   * 320 |   0   3  1 |   0  3  3 |  0  1  3
---------------+-----+---------+------------+-----------+---------
. . o3x   .    |   3 |   3   0 | 320   *  * |   2  0  1 |  1  0  2
. . o .   x4*c |   4 |   0   4 |   * 240  * |   0  2  1 |  0  1  2
. . . x4/3x    |   8 |   4   4 |   *   * 80 |   0  0  3 |  0  0  3
---------------+-----+---------+------------+-----------+---------
. o3o3x   .    ♦   4 |   6   0 |   4   0  0 | 160  *  * |  1  0  1
. o3o .   x4*c ♦   8 |   0  12 |   0   6  0 |   * 80  * |  0  1  1
. . o3x4/3x4*c ♦  24 |  24  24 |   8   6  6 |   *  * 40 |  0  0  2
---------------+-----+---------+------------+-----------+---------
o3o3o3x   .    ♦   5 |  10   0 |  10   0  0 |   5  0  0 | 32  *  *
o3o3o .   x4*c ♦  16 |   0  32 |   0  24  0 |   0  8  0 |  * 10  *
. o3o3x4/3x4*c ♦  64 |  96  96 |  64  48 24 |  16  8  8 |  *  * 10