Acronym octo
Name octeract,
8D measure-polytope8),
geozetton
Vertex layers
 Layer Symmetry Subsymmetries o3o3o3o3o3o3o4o o3o3o3o3o3o3o . . o3o3o3o3o3o4o 1 o3o3o3o3o3o3o4x o3o3o3o3o3o3o .vertex first . o3o3o3o3o3o4xhept first 2 o3o3o3o3o3o3q .vertex figure . o3o3o3o3o3o4xopposite hept 3 o3o3o3o3o3q3o . 4 o3o3o3o3q3o3o . 5 o3o3o3q3o3o3o . 6 o3o3q3o3o3o3o . 7 o3q3o3o3o3o3o . 8 q3o3o3o3o3o3o . 9 o3o3o3o3o3o3o .opposite vertex
Coordinates (1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all changes of sign
Dual ek
Confer
general polytopal classes:
hypercube
External

Incidence matrix according to Dynkin symbol

```o3o3o3o3o3o3o4x

. . . . . . . . | 256 ♦    8 |   28 |   56 |   70 |  56 |  28 |  8
----------------+-----+------+------+------+------+-----+-----+---
. . . . . . . x |   2 | 1024 ♦    7 |   21 |   35 |  35 |  21 |  7
----------------+-----+------+------+------+------+-----+-----+---
. . . . . . o4x |   4 |    4 | 1792 ♦    6 |   15 |  20 |  15 |  6
----------------+-----+------+------+------+------+-----+-----+---
. . . . . o3o4x ♦   8 |   12 |    6 | 1792 ♦    5 |  10 |  10 |  5
----------------+-----+------+------+------+------+-----+-----+---
. . . . o3o3o4x ♦  16 |   32 |   24 |    8 | 1120 ♦   4 |   6 |  4
----------------+-----+------+------+------+------+-----+-----+---
. . . o3o3o3o4x ♦  32 |   80 |   80 |   40 |   10 | 448 |   3 |  3
----------------+-----+------+------+------+------+-----+-----+---
. . o3o3o3o3o4x ♦  64 |  192 |  240 |  160 |   60 |  12 | 112 |  2
----------------+-----+------+------+------+------+-----+-----+---
. o3o3o3o3o3o4x ♦ 128 |  448 |  672 |  560 |  280 |  84 |  14 | 16
```