Acronym	ek
Name	diacosipentacontahexazetton, octacross (β8), aerozetton, octaexal antiprism
Circumradius	1/sqrt(2) = 0.707107
Inradius	1/4
Coordinates	(1/sqrt(2), 0, 0, 0, 0, 0, 0, 0)   & all permutations, all changes of sign
Dual	octo
Confer	general polytopal classes: orthoplex
External links

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o4o

. . . . . . . . | 16 ♦  14 |  84 |  280 |  560 |  672 |  448 | 128
----------------+----+-----+-----+------+------+------+------+----
x . . . . . . . |  2 | 112 ♦  12 |   60 |  160 |  240 |  192 |  64
----------------+----+-----+-----+------+------+------+------+----
x3o . . . . . . |  3 |   3 | 448 ♦   10 |   40 |   80 |   80 |  32
----------------+----+-----+-----+------+------+------+------+----
x3o3o . . . . . ♦  4 |   6 |   4 | 1120 ♦    8 |   24 |   32 |  16
----------------+----+-----+-----+------+------+------+------+----
x3o3o3o . . . . ♦  5 |  10 |  10 |    5 | 1792 ♦    6 |   12 |   8
----------------+----+-----+-----+------+------+------+------+----
x3o3o3o3o . . . ♦  6 |  15 |  20 |   15 |    6 | 1792 |    4 |   4
----------------+----+-----+-----+------+------+------+------+----
x3o3o3o3o3o . . ♦  7 |  21 |  35 |   35 |   21 |    7 | 1024 |   2
----------------+----+-----+-----+------+------+------+------+----
x3o3o3o3o3o3o . ♦  8 |  28 |  56 |   70 |   56 |   28 |    8 | 256

o3o3o *b3o3o3o3o3x

. . .    . . . . . | 16 ♦  14 |  84 |  280 |  560 |  672 |  448 |  64  64
-------------------+----+-----+-----+------+------+------+------+--------
. . .    . . . . x |  2 | 112 ♦  12 |   60 |  160 |  240 |  192 |  32  32
-------------------+----+-----+-----+------+------+------+------+--------
. . .    . . . o3x |  3 |   3 | 448 ♦   10 |   40 |   80 |   80 |  16  16
-------------------+----+-----+-----+------+------+------+------+--------
. . .    . . o3o3x ♦  4 |   6 |   4 | 1120 ♦    8 |   24 |   32 |   8   8
-------------------+----+-----+-----+------+------+------+------+--------
. . .    . o3o3o3x ♦  5 |  10 |  10 |    5 | 1792 ♦    6 |   12 |   4   4
-------------------+----+-----+-----+------+------+------+------+--------
. . .    o3o3o3o3x ♦  6 |  15 |  20 |   15 |    6 | 1792 |    4 |   2   2
-------------------+----+-----+-----+------+------+------+------+--------
. o . *b3o3o3o3o3x ♦  7 |  21 |  35 |   35 |   21 |    7 | 1024 |   1   1
-------------------+----+-----+-----+------+------+------+------+--------
o3o . *b3o3o3o3o3x ♦  8 |  28 |  56 |   70 |   56 |   28 |    7 | 128   *
. o3o *b3o3o3o3o3x ♦  8 |  28 |  56 |   70 |   56 |   28 |    7 |   * 128