Acronym enne
Name enneract,
octadecayotton,
9D measure-polytope9),
geoxenn(id)
Circumradius 3/2 = 1.5
Inradius 1/2
Vertex layers
LayerSymmetrySubsymmetries
 o3o3o3o3o3o3o3o4o o3o3o3o3o3o3o3o . . o3o3o3o3o3o3o4o
1o3o3o3o3o3o3o3o4x o3o3o3o3o3o3o3o .
vertex first
. o3o3o3o3o3o3o4x
octo first
2 o3o3o3o3o3o3o3q .
vertex figure
. o3o3o3o3o3o3o4x
opposite octo
3 o3o3o3o3o3o3q3o .  
4 o3o3o3o3o3q3o3o .
5 o3o3o3o3q3o3o3o .
6 o3o3o3q3o3o3o3o .
7 o3o3q3o3o3o3o3o .
8 o3q3o3o3o3o3o3o .
9 q3o3o3o3o3o3o3o .
10 o3o3o3o3o3o3o3o .
opposite vertex
Coordinates (1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all changes of sign
Volume 1
Surface 18
Dual vee
Dihedral angles
(at margins)
Face vector 512, 2304, 4608, 5376, 4032, 2016, 672, 144, 18
Confer
general polytopal classes:
Wythoffian polyyotta   hypercube   noble polytopes   segmentoyotta  
analogs:
regular hypercube Cn  
External
links
wikipedia   polytopewiki   mathworld

Its equatorial cross-section in vertex first orientation is not a vertex layer. Even so it can be determined as 1/q-be (cf. truncation series).


Incidence matrix according to Dynkin symbol

o3o3o3o3o3o3o3o4x

. . . . . . . . . | 512     9 |   36 |   84 |  126 |  126 |  84 |  36 |  9
------------------+-----+------+------+------+------+------+-----+-----+---
. . . . . . . . x |   2 | 2304     8 |   28 |   56 |   70 |  56 |  28 |  8
------------------+-----+------+------+------+------+------+-----+-----+---
. . . . . . . o4x |   4 |    4 | 4608     7 |   21 |   35 |  35 |  21 |  7
------------------+-----+------+------+------+------+------+-----+-----+---
. . . . . . o3o4x    8 |   12 |    6 | 5376     6 |   15 |  20 |  15 |  6
------------------+-----+------+------+------+------+------+-----+-----+---
. . . . . o3o3o4x   16 |   32 |   24 |    8 | 4032     5 |  10 |  10 |  5
------------------+-----+------+------+------+------+------+-----+-----+---
. . . . o3o3o3o4x   32 |   80 |   80 |   40 |   10 | 2016    4 |   6 |  4
------------------+-----+------+------+------+------+------+-----+-----+---
. . . o3o3o3o3o4x   64 |  192 |  240 |  160 |   60 |   12 | 672 |   3 |  3
------------------+-----+------+------+------+------+------+-----+-----+---
. . o3o3o3o3o3o4x  128 |  448 |  672 |  560 |  280 |   84 |  14 | 144 |  2
------------------+-----+------+------+------+------+------+-----+-----+---
. o3o3o3o3o3o3o4x  256 | 1024 | 1792 | 1792 | 1120 |  448 | 112 |  16 | 18

snubbed forms: o3o3o3o3o3o3o3o4s

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