Acronym | reday |
Name |
rectified decayotton, vertex figure of hede, Gosset polytope 07,1 |
Circumradius | sqrt(4/5) = 0.894427 |
Inradius wrt. ene | 4/sqrt(45) = 0.596285 |
Inradius wrt. rene | 1/sqrt(45) = 0.149071 |
Volume | 251 sqrt(5)/2903040 = 0.00019333 |
Surface | 31/2688 = 0.011533 |
Dihedral angles
(at margins) | |
Face vector | 45, 360, 960, 1470, 1512, 1050, 480, 135, 20 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
o3x3o3o3o3o3o3o3o . . . . . . . . . | 45 ♦ 16 | 8 56 | 28 112 | 56 140 | 70 112 | 56 56 | 28 16 | 8 2 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ . x . . . . . . . | 2 | 360 | 1 7 | 7 21 | 21 35 | 35 35 | 35 21 | 21 7 | 7 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x . . . . . . . | 3 | 3 | 120 * ♦ 7 0 | 21 0 | 35 0 | 35 0 | 21 0 | 7 0 . x3o . . . . . . | 3 | 3 | * 840 | 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o . . . . . . ♦ 6 | 12 | 4 4 | 210 * ♦ 6 0 | 15 0 | 20 0 | 15 0 | 6 0 . x3o3o . . . . . ♦ 4 | 6 | 0 4 | * 1260 | 1 5 | 5 10 | 10 10 | 10 5 | 5 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o3o . . . . . ♦ 10 | 30 | 10 20 | 5 5 | 252 * ♦ 5 0 | 10 0 | 10 0 | 5 0 . x3o3o3o . . . . ♦ 5 | 10 | 0 10 | 0 5 | * 1260 | 1 4 | 4 6 | 6 4 | 4 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o3o3o . . . . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 210 * ♦ 4 0 | 6 0 | 4 0 . x3o3o3o3o . . . ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 840 | 1 3 | 3 3 | 3 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o3o3o3o . . . ♦ 21 | 105 | 35 140 | 35 105 | 21 42 | 7 7 | 120 * | 3 0 | 3 0 . x3o3o3o3o3o . . ♦ 7 | 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 360 | 1 2 | 2 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o3o3o3o3o . . ♦ 28 | 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 45 * | 2 0 . x3o3o3o3o3o3o . ♦ 8 | 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 | * 90 | 1 1 ------------------+----+-----+---------+----------+----------+---------+---------+-------+------ o3x3o3o3o3o3o3o . ♦ 36 | 252 | 84 504 | 126 630 | 126 504 | 84 252 | 36 72 | 9 9 | 10 * . x3o3o3o3o3o3o3o ♦ 9 | 36 | 0 84 | 0 126 | 0 126 | 0 84 | 0 36 | 0 9 | * 10
xo3ox3oo3oo3oo3oo3oo3oo&#x → height = sqrt(5)/3 = 0.745356
(ene || rene)
o.3o.3o.3o.3o.3o.3o.3o. | 9 * ♦ 8 8 0 | 28 8 28 0 0 | 56 28 56 0 0 | 70 56 70 0 0 | 56 70 56 0 0 | 28 56 28 0 0 | 8 28 8 0 0 | 1 8 1 0
.o3.o3.o3.o3.o3.o3.o3.o | * 36 ♦ 0 2 14 | 0 1 14 7 42 | 0 7 42 21 70 | 0 21 70 35 70 | 0 35 70 35 42 | 0 35 42 21 14 | 0 21 14 7 2 | 0 7 2 1
---------------------------+------+-----------+------------------+--------------------+---------------------+-------------------+-----------------+-------------+--------
x. .. .. .. .. .. .. .. | 2 0 | 36 * * | 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
oo3oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | * 72 * | 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
.. .x .. .. .. .. .. .. | 0 2 | * * 252 | 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. .. .. .. .. .. .. | 3 0 | 3 0 0 | 84 * * * * | 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
xo .. .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 36 * * * ♦ 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
.. ox .. .. .. .. .. ..&#x | 1 2 | 0 2 1 | * * 252 * * | 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.x .. .. .. .. .. .. | 0 3 | 0 0 3 | * * * 84 * ♦ 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.o .. .. .. .. .. | 0 3 | 0 0 3 | * * * * 504 | 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. .. .. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 126 * * * * | 5 1 0 0 0 | 10 5 0 0 0 | 10 10 0 0 0 | 5 10 0 0 0 | 1 5 0 0
xo3ox .. .. .. .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 84 * * * ♦ 0 6 0 0 0 | 0 15 0 0 0 | 0 20 0 0 0 | 0 15 0 0 0 | 0 6 0 0
.. ox3oo .. .. .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 504 * * | 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.o .. .. .. .. .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 126 * ♦ 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.o .. .. .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 630 | 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. .. .. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 126 * * * * | 4 1 0 0 0 | 6 4 0 0 0 | 4 6 0 0 0 | 1 4 0 0
xo3ox3oo .. .. .. .. ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 126 * * * ♦ 0 5 0 0 0 | 0 10 0 0 0 | 0 10 0 0 0 | 0 5 0 0
.. ox3oo3oo .. .. .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 630 * * | 0 1 4 0 0 | 0 4 6 0 0 | 0 6 4 0 0 | 0 4 1 0
.o3.x3.o3.o .. .. .. .. ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 126 * ♦ 0 1 0 4 0 | 0 4 0 6 0 | 0 6 0 4 0 | 0 4 0 1
.. .x3.o3.o3.o .. .. .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 504 | 0 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 0 3 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 | 84 * * * * | 3 1 0 0 0 | 3 3 0 0 0 | 1 3 0 0
xo3ox3oo3oo .. .. .. ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 126 * * * ♦ 0 4 0 0 0 | 0 6 0 0 0 | 0 4 0 0
.. ox3oo3oo3oo .. .. ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 504 * * | 0 1 3 0 0 | 0 3 3 0 0 | 0 3 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 | * * * 84 * ♦ 0 1 0 3 0 | 0 3 0 3 0 | 0 3 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 | * * * * 252 | 0 0 1 1 2 | 0 1 2 2 1 | 0 2 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 | 36 * * * * | 2 1 0 0 0 | 1 2 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 | * 84 * * * | 0 3 0 0 0 | 0 3 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 | * * 252 * * | 0 1 2 0 0 | 0 2 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 | * * * 36 * | 0 1 0 2 0 | 0 2 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 | * * * * 72 | 0 0 1 1 1 | 0 1 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 | 9 * * * * | 1 1 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 | * 36 * * * | 0 2 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 | * * 72 * * | 0 1 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 | * * * 9 * | 0 1 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 | * * * * 9 | 0 0 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 | 1 * * *
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 | * 9 * *
.. 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 | * * 9 *
.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 | * * * 1
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