Acronym	vee
Name	pentacosidodecayotton, enneacross (β9), aeroyotton, enneazettal antiprism
Circumradius	1/sqrt(2) = 0.707107
Inradius	1/sqrt(18) = 0.235702
Coordinates	(1/sqrt(2), 0, 0, 0, 0, 0, 0, 0, 0)   & all permutations, all changes of sign
Dual	enne
Confer	general polytopal classes: orthoplex
External links

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3o4o

. . . . . . . . . | 18 ♦  16 | 112 |  448 | 1120 | 1792 | 1792 | 1024 | 256
------------------+----+-----+-----+------+------+------+------+------+----
x . . . . . . . . |  2 | 144 ♦  14 |   84 |  280 |  560 |  672 |  448 | 128
------------------+----+-----+-----+------+------+------+------+------+----
x3o . . . . . . . |  3 |   3 | 672 ♦   12 |   60 |  160 |  240 |  192 |  64
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o . . . . . . ♦  4 |   6 |   4 | 2016 ♦   10 |   40 |   80 |   80 |  32
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o3o . . . . . ♦  5 |  10 |  10 |    5 | 4032 ♦    8 |   24 |   32 |  16
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o3o3o . . . . ♦  6 |  15 |  20 |   15 |    6 | 5376 ♦    6 |   12 |   8
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o3o3o3o . . . ♦  7 |  21 |  35 |   35 |   21 |    7 | 4608 |    4 |   4
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o3o3o3o3o . . ♦  8 |  28 |  56 |   70 |   56 |   28 |    8 | 2304 |   2
------------------+----+-----+-----+------+------+------+------+------+----
x3o3o3o3o3o3o3o . ♦  9 |  36 |  84 |  126 |  126 |   84 |   36 |    9 | 512

o3o3o *b3o3o3o3o3o3x

. . .    . . . . . . | 18 ♦  16 | 112 |  448 | 1120 | 1792 | 1792 | 1024 | 128 128
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    . . . . . x |  2 | 144 ♦  14 |   84 |  280 |  560 |  672 |  448 |  64  64
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    . . . . o3x |  3 |   3 | 672 ♦   12 |   60 |  160 |  240 |  192 |  32  32
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    . . . o3o3x ♦  4 |   6 |   4 | 2016 ♦   10 |   40 |   80 |   80 |  16  16
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    . . o3o3o3x ♦  5 |  10 |  10 |    5 | 4032 ♦    8 |   24 |   32 |   8   8
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    . o3o3o3o3x ♦  6 |  15 |  20 |   15 |    6 | 5376 ♦    6 |   12 |   4   4
---------------------+----+-----+-----+------+------+------+------+------+--------
. . .    o3o3o3o3o3x ♦  7 |  21 |  35 |   35 |   21 |    7 | 4608 |    4 |   2   2
---------------------+----+-----+-----+------+------+------+------+------+--------
. o . *b3o3o3o3o3o3x ♦  8 |  28 |  56 |   70 |   56 |   28 |    8 | 2304 |   1   1
---------------------+----+-----+-----+------+------+------+------+------+--------
o3o . *b3o3o3o3o3o3x ♦  9 |  36 |  84 |  126 |  126 |   84 |   36 |    9 | 256   *
. o3o *b3o3o3o3o3o3x ♦  9 |  36 |  84 |  126 |  126 |   84 |   36 |    9 |   * 256