Acronym | ru |
Name |
rectified hendecaxennon, rectified undecaxennon, Gosset polytope 08,1 |
Circumradius | 3/sqrt(11) = 0.904534 |
Inradius wrt. day | 9/sqrt(220) = 0.606780 |
Inradius wrt. reday | 1/sqrt(55) = 0.134840 |
Volume | 1013 sqrt(11)/116121600 = 0.000028933 |
Surface | 5533 sqrt(5)/5806080 = 0.0021309 |
Dihedral angles
(at margins) | |
Face vector | 55, 495, 1485, 2640, 3234, 2772, 1650, 660, 165, 22 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
o3x3o3o3o3o3o3o3o3o . . . . . . . . . . | 55 ♦ 18 | 9 72 | 36 168 | 84 252 | 126 252 | 126 168 | 84 72 | 36 18 | 9 2 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ . x . . . . . . . . | 2 | 495 | 1 8 | 8 28 | 28 56 | 56 70 | 70 56 | 56 28 | 28 8 | 8 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x . . . . . . . . | 3 | 3 | 165 * ♦ 8 0 | 28 0 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 . x3o . . . . . . . | 3 | 3 | * 1320 | 1 7 | 7 21 | 21 35 | 35 35 | 35 21 | 21 7 | 7 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o . . . . . . . ♦ 6 | 12 | 4 4 | 330 * ♦ 7 0 | 21 0 | 35 0 | 35 0 | 21 0 | 7 0 . x3o3o . . . . . . ♦ 4 | 6 | 0 4 | * 2310 | 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o . . . . . . ♦ 10 | 30 | 10 20 | 5 5 | 462 * ♦ 6 0 | 15 0 | 20 0 | 15 0 | 6 0 . x3o3o3o . . . . . ♦ 5 | 10 | 0 10 | 0 5 | * 2772 | 1 5 | 5 10 | 10 10 | 10 5 | 5 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o3o . . . . . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 462 * ♦ 5 0 | 10 0 | 10 0 | 5 0 . x3o3o3o3o . . . . ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 2310 | 1 4 | 4 6 | 6 4 | 4 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o3o3o . . . . ♦ 21 | 105 | 35 140 | 35 105 | 21 42 | 7 7 | 330 * ♦ 4 0 | 6 0 | 4 0 . x3o3o3o3o3o . . . ♦ 7 | 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 1320 | 1 3 | 3 3 | 3 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o3o3o3o . . . ♦ 28 | 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 165 * | 3 0 | 3 0 . x3o3o3o3o3o3o . . ♦ 8 | 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 | * 495 | 1 2 | 2 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o3o3o3o3o . . ♦ 36 | 252 | 84 504 | 126 630 | 126 504 | 84 252 | 36 72 | 9 9 | 55 * | 2 0 . x3o3o3o3o3o3o3o . ♦ 9 | 36 | 0 84 | 0 126 | 0 126 | 0 84 | 0 36 | 0 9 | * 110 | 1 1 --------------------+----+-----+----------+----------+----------+----------+----------+---------+--------+------ o3x3o3o3o3o3o3o3o . ♦ 45 | 360 | 120 840 | 210 1260 | 252 1260 | 210 840 | 120 360 | 45 90 | 10 10 | 11 * . x3o3o3o3o3o3o3o3o ♦ 10 | 45 | 0 120 | 0 210 | 0 252 | 0 210 | 0 120 | 0 45 | 0 10 | * 11
xo3ox3oo3oo3oo3oo3oo3oo3oo&#x → height = sqrt(11/20) = 0.741620
(day || reday)
o.3o.3o.3o.3o.3o.3o.3o.3o. | 10 * ♦ 9 9 0 | 36 9 36 0 0 | 84 36 84 0 0 | 126 84 126 0 0 | 126 126 126 0 0 | 84 126 84 0 0 | 36 84 36 0 0 | 9 36 9 0 0 | 1 9 1 0
.o3.o3.o3.o3.o3.o3.o3.o3.o | * 45 ♦ 0 2 16 | 0 1 16 8 56 | 0 8 56 28 112 | 0 28 112 56 140 | 0 56 140 70 112 | 0 70 112 56 56 | 0 56 56 28 16 | 0 28 16 8 2 | 0 8 2 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x. .. .. .. .. .. .. .. .. | 2 0 | 45 * * | 8 1 0 0 0 | 28 8 0 0 0 | 56 28 0 0 0 | 70 56 0 0 0 | 56 70 0 0 0 | 28 56 0 0 0 | 8 28 0 0 0 | 1 8 0 0
oo3oo3oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | * 90 * | 0 1 8 0 0 | 0 8 28 0 0 | 0 28 56 0 0 | 0 56 70 0 0 | 0 70 56 0 0 | 0 56 28 0 0 | 0 28 8 0 0 | 0 8 1 0
.. .x .. .. .. .. .. .. .. | 0 2 | * * 360 | 0 0 1 1 7 | 0 1 7 7 21 | 0 7 21 21 35 | 0 21 35 35 35 | 0 35 35 35 21 | 0 35 21 21 7 | 0 21 7 7 1 | 0 7 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o. .. .. .. .. .. .. .. | 3 0 | 3 0 0 | 120 * * * * | 7 1 0 0 0 | 21 7 0 0 0 | 35 21 0 0 0 | 35 35 0 0 0 | 21 35 0 0 0 | 7 21 0 0 0 | 1 7 0 0
xo .. .. .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 45 * * * ♦ 0 8 0 0 0 | 0 28 0 0 0 | 0 56 0 0 0 | 0 70 0 0 0 | 0 56 0 0 0 | 0 28 0 0 0 | 0 8 0 0
.. ox .. .. .. .. .. .. ..&#x | 1 2 | 0 2 1 | * * 360 * * | 0 1 7 0 0 | 0 7 21 0 0 | 0 21 35 0 0 | 0 35 35 0 0 | 0 35 21 0 0 | 0 21 7 0 0 | 0 7 1 0
.o3.x .. .. .. .. .. .. .. | 0 3 | 0 0 3 | * * * 120 * ♦ 0 1 0 7 0 | 0 7 0 21 0 | 0 21 0 35 0 | 0 35 0 35 0 | 0 35 0 21 0 | 0 21 0 7 0 | 0 7 0 1
.. .x3.o .. .. .. .. .. .. | 0 3 | 0 0 3 | * * * * 840 | 0 0 1 1 6 | 0 1 6 6 15 | 0 6 15 15 20 | 0 15 20 20 15 | 0 20 15 15 6 | 0 15 6 6 1 | 0 6 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o. .. .. .. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 210 * * * * | 6 1 0 0 0 | 15 6 0 0 0 | 20 15 0 0 0 | 15 20 0 0 0 | 6 15 0 0 0 | 1 6 0 0
xo3ox .. .. .. .. .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 120 * * * ♦ 0 7 0 0 0 | 0 21 0 0 0 | 0 35 0 0 0 | 0 35 0 0 0 | 0 21 0 0 0 | 0 7 0 0
.. ox3oo .. .. .. .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 840 * * | 0 1 6 0 0 | 0 6 15 0 0 | 0 15 20 0 0 | 0 20 15 0 0 | 0 15 6 0 0 | 0 6 1 0
.o3.x3.o .. .. .. .. .. .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 210 * ♦ 0 1 0 6 0 | 0 6 0 15 0 | 0 15 0 20 0 | 0 20 0 15 0 | 0 15 0 6 0 | 0 6 0 1
.. .x3.o3.o .. .. .. .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 1260 | 0 0 1 1 5 | 0 1 5 5 10 | 0 5 10 10 10 | 0 10 10 10 5 | 0 10 5 5 1 | 0 5 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o. .. .. .. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 252 * * * * | 5 1 0 0 0 | 10 5 0 0 0 | 10 10 0 0 0 | 5 10 0 0 0 | 1 5 0 0
xo3ox3oo .. .. .. .. .. ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 210 * * * ♦ 0 6 0 0 0 | 0 15 0 0 0 | 0 20 0 0 0 | 0 15 0 0 0 | 0 6 0 0
.. ox3oo3oo .. .. .. .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 1260 * * | 0 1 5 0 0 | 0 5 10 0 0 | 0 10 10 0 0 | 0 10 5 0 0 | 0 5 1 0
.o3.x3.o3.o .. .. .. .. .. ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 252 * ♦ 0 1 0 5 0 | 0 5 0 10 0 | 0 10 0 10 0 | 0 10 0 5 0 | 0 5 0 1
.. .x3.o3.o3.o .. .. .. .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 1260 | 0 0 1 1 4 | 0 1 4 4 6 | 0 4 6 6 4 | 0 6 4 4 1 | 0 4 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o. .. .. .. .. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 210 * * * * | 4 1 0 0 0 | 6 4 0 0 0 | 4 6 0 0 0 | 1 4 0 0
xo3ox3oo3oo .. .. .. .. ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 252 * * * ♦ 0 5 0 0 0 | 0 10 0 0 0 | 0 10 0 0 0 | 0 5 0 0
.. ox3oo3oo3oo .. .. .. ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 1260 * * | 0 1 4 0 0 | 0 4 6 0 0 | 0 6 4 0 0 | 0 4 1 0
.o3.x3.o3.o3.o .. .. .. .. ♦ 0 15 | 0 0 60 | 0 0 0 20 60 | 0 0 0 15 30 | 0 0 0 6 6 | * * * 210 * ♦ 0 1 0 4 0 | 0 4 0 6 0 | 0 6 0 4 0 | 0 4 0 1
.. .x3.o3.o3.o3.o .. .. .. ♦ 0 6 | 0 0 15 | 0 0 0 0 20 | 0 0 0 0 15 | 0 0 0 0 6 | * * * * 840 | 0 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 0 3 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o. .. .. .. ♦ 7 0 | 21 0 0 | 35 0 0 0 0 | 35 0 0 0 0 | 21 0 0 0 0 | 7 0 0 0 0 | 120 * * * * | 3 1 0 0 0 | 3 3 0 0 0 | 1 3 0 0
xo3ox3oo3oo3oo .. .. .. ..&#x ♦ 6 15 | 15 30 60 | 20 15 60 20 60 | 15 20 60 15 30 | 6 15 30 6 6 | 1 6 6 1 0 | * 210 * * * ♦ 0 4 0 0 0 | 0 6 0 0 0 | 0 4 0 0
.. ox3oo3oo3oo3oo .. .. ..&#x ♦ 1 6 | 0 6 15 | 0 0 15 0 20 | 0 0 20 0 15 | 0 0 15 0 6 | 0 0 6 0 1 | * * 840 * * | 0 1 3 0 0 | 0 3 3 0 0 | 0 3 1 0
.o3.x3.o3.o3.o3.o .. .. .. ♦ 0 21 | 0 0 105 | 0 0 0 35 140 | 0 0 0 35 105 | 0 0 0 21 42 | 0 0 0 7 7 | * * * 120 * ♦ 0 1 0 3 0 | 0 3 0 3 0 | 0 3 0 1
.. .x3.o3.o3.o3.o3.o .. .. ♦ 0 7 | 0 0 21 | 0 0 0 0 35 | 0 0 0 0 35 | 0 0 0 0 21 | 0 0 0 0 7 | * * * * 360 | 0 0 1 1 2 | 0 1 2 2 1 | 0 2 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o. .. .. ♦ 8 0 | 28 0 0 | 56 0 0 0 0 | 70 0 0 0 0 | 56 0 0 0 0 | 28 0 0 0 0 | 8 0 0 0 0 | 45 * * * * | 2 1 0 0 0 | 1 2 0 0
xo3ox3oo3oo3oo3oo .. .. ..&#x ♦ 7 21 | 21 42 105 | 35 21 105 35 140 | 35 35 140 35 105 | 21 35 105 21 42 | 7 21 42 7 7 | 1 7 7 1 0 | * 120 * * * | 0 3 0 0 0 | 0 3 0 0
.. ox3oo3oo3oo3oo3oo .. ..&#x ♦ 1 7 | 0 7 21 | 0 0 21 0 35 | 0 0 35 0 35 | 0 0 35 0 21 | 0 0 21 0 7 | 0 0 7 0 1 | * * 360 * * | 0 1 2 0 0 | 0 2 1 0
.o3.x3.o3.o3.o3.o3.o .. .. ♦ 0 28 | 0 0 168 | 0 0 0 56 280 | 0 0 0 70 280 | 0 0 0 56 168 | 0 0 0 28 56 | 0 0 0 8 8 | * * * 45 * | 0 1 0 2 0 | 0 2 0 1
.. .x3.o3.o3.o3.o3.o3.o .. ♦ 0 8 | 0 0 28 | 0 0 0 0 56 | 0 0 0 0 70 | 0 0 0 0 56 | 0 0 0 0 28 | 0 0 0 0 8 | * * * * 90 | 0 0 1 1 1 | 0 1 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o.3o. .. ♦ 9 0 | 36 0 0 | 84 0 0 0 0 | 126 0 0 0 0 | 126 0 0 0 0 | 84 0 0 0 0 | 36 0 0 0 0 | 9 0 0 0 0 | 10 * * * * | 1 1 0 0
xo3ox3oo3oo3oo3oo3oo .. ..&#x ♦ 8 28 | 28 56 168 | 56 28 168 56 280 | 70 56 280 70 280 | 56 70 280 56 168 | 28 56 168 28 56 | 8 28 56 8 8 | 1 8 8 1 0 | * 45 * * * | 0 2 0 0
.. ox3oo3oo3oo3oo3oo3oo ..&#x ♦ 1 8 | 0 8 28 | 0 0 28 0 56 | 0 0 56 0 70 | 0 0 70 0 56 | 0 0 56 0 28 | 0 0 28 0 8 | 0 0 8 0 1 | * * 90 * * | 0 1 1 0
.o3.x3.o3.o3.o3.o3.o3.o .. ♦ 0 36 | 0 0 252 | 0 0 0 84 504 | 0 0 0 126 630 | 0 0 0 126 504 | 0 0 0 84 252 | 0 0 0 36 72 | 0 0 0 9 9 | * * * 10 * | 0 1 0 1
.. .x3.o3.o3.o3.o3.o3.o3.o ♦ 0 9 | 0 0 36 | 0 0 0 0 84 | 0 0 0 0 126 | 0 0 0 0 126 | 0 0 0 0 84 | 0 0 0 0 36 | 0 0 0 0 9 | * * * * 10 | 0 0 1 1
------------------------------+-------+-----------+--------------------+----------------------+-----------------------+----------------------+---------------------+------------------+----------------+----------
x.3o.3o.3o.3o.3o.3o.3o.3o. ♦ 10 0 | 45 0 0 | 120 0 0 0 0 | 210 0 0 0 0 | 252 0 0 0 0 | 210 0 0 0 0 | 120 0 0 0 0 | 45 0 0 0 0 | 10 0 0 0 0 | 1 * * *
xo3ox3oo3oo3oo3oo3oo3oo ..&#x ♦ 9 36 | 36 72 252 | 84 36 252 84 504 | 126 84 504 126 630 | 126 126 630 126 504 | 84 126 504 84 252 | 36 84 252 36 72 | 9 36 72 9 9 | 1 9 9 1 0 | * 10 * *
.. ox3oo3oo3oo3oo3oo3oo3oo&#x ♦ 1 9 | 0 9 36 | 0 0 36 0 84 | 0 0 84 0 126 | 0 0 126 0 126 | 0 0 126 0 84 | 0 0 84 0 36 | 0 0 36 0 9 | 0 0 9 0 1 | * * 10 *
.o3.x3.o3.o3.o3.o3.o3.o3.o ♦ 0 45 | 0 0 360 | 0 0 0 120 840 | 0 0 0 210 1260 | 0 0 0 252 1260 | 0 0 0 210 840 | 0 0 0 120 360 | 0 0 0 45 90 | 0 0 0 10 10 | * * * 1
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