Acronym ka
Name chilliaicositetraxennon,
decacross10),
aerodak(id),
decayottal antiprism,
Gosset polytope 71,1
Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(20) = 0.223607
Coordinates (1/sqrt(2), 0, 0, 0, 0, 0, 0, 0, 0, 0)   & all permutations, all changes of sign
Dual deker
Dihedral angles
  • at ene between day and day:   arccos(-4/5) = 143.130102°
Confer
general polytopal classes:
orthoplex   segmentoxenna   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3o3o4o

. . . . . . . . . . | 20   18 | 144 |  672 | 2016 |  4032 |  5376 |  4608 | 2304 |  512
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x . . . . . . . . . |  2 | 180   16 |  112 |  448 |  1120 |  1792 |  1792 | 1024 |  256
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o . . . . . . . . |  3 |   3 | 960    14 |   84 |   280 |   560 |   672 |  448 |  128
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o . . . . . . .   4 |   6 |   4 | 3360    12 |    60 |   160 |   240 |  192 |   64
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o . . . . . .   5 |  10 |  10 |    5 | 8064     10 |    40 |    80 |   80 |   32
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o3o . . . . .   6 |  15 |  20 |   15 |    6 | 13440      8 |    24 |   32 |   16
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o3o3o . . . .   7 |  21 |  35 |   35 |   21 |     7 | 15360      6 |   12 |    8
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o3o3o3o . . .   8 |  28 |  56 |   70 |   56 |    28 |     8 | 11520 |    4 |    4
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o3o3o3o3o . .   9 |  36 |  84 |  126 |  126 |    84 |    36 |     9 | 5120 |    2
--------------------+----+-----+-----+------+------+-------+-------+-------+------+-----
x3o3o3o3o3o3o3o3o .  10 |  45 | 120 |  210 |  252 |   210 |   120 |    45 |   10 | 1024

o3o3o *b3o3o3o3o3o3o3x

. . .    . . . . . . . | 20   18 | 114 |  672 | 2016 |  4032 |  5376 |  4608 | 2304 | 256 256
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . . . . . . x |  2 | 180   16 |  112 |  448 |  1120 |  1792 |  1792 | 1024 | 128 128
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . . . . . o3x |  3 |   3 | 960    14 |   84 |   280 |   560 |   672 |  448 |  64  64
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . . . . o3o3x   4 |   6 |   4 | 3360    12 |    60 |   160 |   240 |  192 |  32  32
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . . . o3o3o3x   5 |  10 |  10 |    5 | 8064     10 |    40 |    80 |   80 |  16  16
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . . o3o3o3o3x   6 |  15 |  20 |   15 |    6 | 13440      8 |    24 |   32 |   8   8
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    . o3o3o3o3o3x   7 |  21 |  35 |   35 |   21 |     7 | 15360      6 |   12 |   4   4
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. . .    o3o3o3o3o3o3x   8 |  28 |  56 |   70 |   56 |    28 |     8 | 11520 |    4 |   2   2
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
. o . *b3o3o3o3o3o3o3x   9 |  36 |  84 |  126 |  126 |    84 |    36 |     9 | 5120 |   1   1
-----------------------+----+-----+-----+------+------+-------+-------+-------+------+--------
o3o . *b3o3o3o3o3o3o3x  10 |  45 | 120 |  210 |  252 |   210 |   120 |    45 |   10 | 512   *
. o3o *b3o3o3o3o3o3o3x  10 |  45 | 120 |  210 |  252 |   210 |   120 |    45 |   10 |   * 512

© 2004-2019
top of page