Acronym deker
Name dekeract,
icosaxennon,
10D measure-polytope10),
geodak(id)
Circumradius sqrt(5/2) = 1.581139
Inradius 1/2
Vertex layers
LayerSymmetrySubsymmetries
 o3o3o3o3o3o3o3o3o4o o3o3o3o3o3o3o3o3o . . o3o3o3o3o3o3o3o4o
1o3o3o3o3o3o3o3o3o4x o3o3o3o3o3o3o3o3o .
vertex first
. o3o3o3o3o3o3o3o4x
enne first
2 o3o3o3o3o3o3o3o3q .
vertex figure
. o3o3o3o3o3o3o3o4x
opposite enne
3 o3o3o3o3o3o3o3q3o .  
4 o3o3o3o3o3o3q3o3o .
5 o3o3o3o3o3q3o3o3o .
6 o3o3o3o3q3o3o3o3o .
7 o3o3o3q3o3o3o3o3o .
8 o3o3q3o3o3o3o3o3o .
9 o3q3o3o3o3o3o3o3o .
10 q3o3o3o3o3o3o3o3o .
11 o3o3o3o3o3o3o3o3o .
opposite vertex
Coordinates (1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2, 1/2)   & all changes of sign
Dual ka
Dihedral angles
Confer
general polytopal classes:
hypercube  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

o3o3o3o3o3o3o3o3o4x

. . . . . . . . . . | 1024    10 |    45 |   120 |   210 |  252 |  210 | 120 |  45 | 10
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . . . . . . x |    2 | 5120      9 |    36 |    84 |  126 |  126 |  84 |  36 |  9
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . . . . . o4x |    4 |    4 | 11520      8 |    28 |   56 |   70 |  56 |  28 |  8
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . . . . o3o4x     8 |   12 |     6 | 15360      7 |   21 |   35 |  35 |  21 |  7
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . . . o3o3o4x    16 |   32 |    24 |     8 | 13440     6 |   15 |  20 |  15 |  6
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . . o3o3o3o4x    32 |   80 |    80 |    40 |    10 | 8064     5 |  10 |  10 |  5
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . . o3o3o3o3o4x    64 |  192 |   240 |   160 |    60 |   12 | 3360    4 |   6 |  4
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . . o3o3o3o3o3o4x   128 |  448 |   672 |   560 |   280 |   84 |   14 | 960 |   3 |  3
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. . o3o3o3o3o3o3o4x   256 | 1024 |  1792 |  1792 |  1120 |  448 |  112 |  16 | 180 |  2
--------------------+------+------+-------+-------+-------+------+------+-----+-----+---
. o3o3o3o3o3o3o3o4x   512 | 2304 |  4608 |  5376 |  4032 | 2016 |  672 | 144 |  18 | 20

snubbed forms: o3o3o3o3o3o3o3o3o4s

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