Acronym	ux
Name	hendecaxennon, undecaxennon, 10D simplex (α10), pyrodak(id), decayottal pyramid, Gosset polytope 09
Circumradius	sqrt(5/11) = 0.674200
Inradius	1/sqrt(220) = 0.067420
Volume	sqrt(11)/116121600 = 0.0000000028562
Surface	11 sqrt(5)/5806080 = 0.0000042364
Dual	(selfdual, in different orientation)
Dihedral angles	at ene between day and day:   arccos(1/10) = 84.260830°
Face vector	11, 55, 165, 330, 462, 462, 330, 165, 55, 11
Confer	general polytopal classes: Wythoffian polyxenna   simplex   segmentoxenna   fundamental lace prisms   Coxeter-Elte-Gosset polytopes   analogs: regular simplex Sn
External links

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