Acronym ux
Name hendecaxennon,
undecaxennon,
10D simplex10),
pyrodak(id),
decayottal pyramid,
Gosset polytope 09
Circumradius sqrt(5/11) = 0.674200
Inradius 1/sqrt(220) = 0.067420
Dual (selfdual, in different orientation)
Dihedral angles
  • at ene between day and day:   arccos(1/10) = 84.260830°
Confer
general polytopal classes:
simplex   segmentoxenna   fundamental lace prisms   Coxeter-Elte-Gosset polytopes  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3o3o3o

. . . . . . . . . . | 11  10 |  45 | 120 | 210 | 252 | 210 | 120 | 45 | 10
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x . . . . . . . . . |  2 | 55    9 |  36 |  84 | 126 | 126 |  84 | 36 |  9
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o . . . . . . . . |  3 |  3 | 165    8 |  28 |  56 |  70 |  56 | 28 |  8
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o . . . . . . .   4 |  6 |   4 | 330    7 |  21 |  35 |  35 | 21 |  7
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o . . . . . .   5 | 10 |  10 |   5 | 462    6 |  15 |  20 | 15 |  6
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o3o . . . . .   6 | 15 |  20 |  15 |   6 | 462    5 |  10 | 10 |  5
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o3o3o . . . .   7 | 21 |  35 |  35 |  21 |   7 | 330    4 |  6 |  4
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o3o3o3o . . .   8 | 28 |  56 |  70 |  56 |  28 |   8 | 165 |  3 |  3
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o3o3o3o3o . .   9 | 36 |  84 | 126 | 126 |  84 |  36 |   9 | 55 |  2
--------------------+----+----+-----+-----+-----+-----+-----+-----+----+---
x3o3o3o3o3o3o3o3o .  10 | 45 | 120 | 210 | 252 | 210 | 120 |  45 | 10 | 11

ox3oo3oo3oo3oo3oo3oo3oo3oo&#x   → height = sqrt(11/20) = 0.741620
(point || day)

o.3o.3o.3o.3o.3o.3o.3o.3o.    | 1  *  10  0 | 45   0 | 120   0 | 210   0 | 252   0 | 210   0 | 120  0 | 45  0 | 10 0
.o3.o3.o3.o3.o3.o3.o3.o3.o    | * 10   1  9 |  9  36 |  36  84 |  84 126 | 126 126 | 126  84 |  84 36 | 36  9 |  9 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
oo3oo3oo3oo3oo3oo3oo3oo3oo&#x | 1  1 | 10  *   9   0 |  36   0 |  84   0 | 126   0 | 126   0 |  84  0 | 36  0 |  9 0
.x .. .. .. .. .. .. .. ..    | 0  2 |  * 45   1   8 |   8  28 |  28  56 |  56  70 |  70  56 |  56 28 | 28  8 |  8 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox .. .. .. .. .. .. .. ..&#x | 1  2 |  2  1 | 45   *    8   0 |  28   0 |  56   0 |  70   0 |  56  0 | 28  0 |  8 0
.x3.o .. .. .. .. .. .. ..    | 0  3 |  3  3 |  * 120    1   7 |   7  21 |  21  35 |  35  35 |  35 21 | 21  7 |  7 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo .. .. .. .. .. .. ..&#x  1  3 |  3  3 |  3   1 | 120   *    7   0 |  21   0 |  35   0 |  35  0 | 21  0 |  7 0
.x3.o3.o .. .. .. .. .. ..     0  4 |  0  6 |  0   4 |   * 210    1   6 |   6  15 |  15  20 |  20 15 | 15  6 |  6 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo .. .. .. .. .. ..&#x  1  4 |  4  6 |  6   4 |   4   1 | 210   *    6   0 |  15   0 |  20  0 | 15  0 |  6 0
.x3.o3.o3.o .. .. .. .. ..     0  5 |  0 10 |  0  10 |   0   5 |   * 252    1   5 |   5  10 |  10 10 | 10  5 |  5 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo3oo .. .. .. .. ..&#x  1  5 |  5 10 | 10  10 |  10   5 |   5   1 | 252   *    5   0 |  10  0 | 10  0 |  5 0
.x3.o3.o3.o3.o .. .. .. ..     0  6 |  0 15 |  0  20 |   0  15 |   0   6 |   * 210    1   4 |   4  6 |  6  4 |  4 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo3oo3oo .. .. .. ..&#x  1  6 |  6 15 | 15  20 |  20  15 |  15   6 |   6   1 | 210   *    4  0 |  6  0 |  4 0
.x3.o3.o3.o3.o3.o .. .. ..     0  7 |  0 21 |  0  35 |   0  35 |   0  21 |   0   7 |   * 120    1  3 |  3  3 |  3 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo3oo3oo3oo .. .. ..&#x  1  7 |  7 21 | 21  35 |  35  35 |  35  21 |  21   7 |   7   1 | 120  * |  3  0 |  3 0
.x3.o3.o3.o3.o3.o3.o .. ..     0  8 |  0 28 |  0  56 |   0  70 |   0  56 |   0  28 |   0   8 |   * 45 |  1  2 |  2 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo3oo3oo3oo3oo .. ..&#x  1  8 |  8 28 | 28  56 |  56  70 |  70  56 |  56  28 |  28   8 |   8  1 | 45  * |  2 0
.x3.o3.o3.o3.o3.o3.o3.o ..     0  9 |  0 36 |  0  84 |   0 126 |   0 126 |   0  84 |   0  36 |   0  9 |  * 10 |  1 1
------------------------------+------+-------+--------+---------+---------+---------+---------+--------+-------+-----
ox3oo3oo3oo3oo3oo3oo3oo ..&#x  1  9 |  9 36 | 36  84 |  84 126 | 126 126 | 126  84 |  84  36 |  36  9 |  9  1 | 10 *
.x3.o3.o3.o3.o3.o3.o3.o3.o     0 10 |  0 45 |  0 120 |   0 210 |   0 252 |   0 210 |   0 120 |   0 45 |  0 10 |  * 1

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