Acronym | rene |
Name |
rectified enneazetton, vertex figure of henne, Gosset polytope 06,1 |
Circumradius | sqrt(7)/3 = 0.881917 |
Inradius wrt. oca | 7/12 = 0.583333 |
Inradius wrt. roc | 1/6 = 0.166667 |
Volume | 247/215040 = 0.0011486 |
Surface | 121/2240 = 0.054018 |
Dihedral angles
(at margins) | |
Face vector | 36, 252, 588, 756, 630, 336, 108, 18 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
o3x3o3o3o3o3o3o . . . . . . . . | 36 ♦ 14 | 7 42 | 21 70 | 35 70 | 35 42 | 21 14 | 7 2 ----------------+----+-----+--------+---------+---------+--------+-------+---- . x . . . . . . | 2 | 252 | 1 6 | 6 15 | 15 20 | 20 15 | 15 6 | 6 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x . . . . . . | 3 | 3 | 84 * ♦ 6 0 | 15 0 | 20 0 | 15 0 | 6 0 . x3o . . . . . | 3 | 3 | * 504 | 1 5 | 5 10 | 10 10 | 10 5 | 5 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x3o . . . . . ♦ 6 | 12 | 4 4 | 126 * ♦ 5 0 | 10 0 | 10 0 | 5 0 . x3o3o . . . . ♦ 4 | 6 | 0 4 | * 630 | 1 4 | 4 6 | 6 4 | 4 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x3o3o . . . . ♦ 10 | 30 | 10 20 | 5 5 | 126 * ♦ 4 0 | 6 0 | 4 0 . x3o3o3o . . . ♦ 5 | 10 | 0 10 | 0 5 | * 504 | 1 3 | 3 3 | 3 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x3o3o3o . . . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 84 * | 3 0 | 3 0 . x3o3o3o3o . . ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 252 | 1 2 | 2 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x3o3o3o3o . . ♦ 21 | 105 | 35 140 | 35 105 | 21 42 | 7 7 | 36 * | 2 0 . x3o3o3o3o3o . ♦ 7 | 21 | 0 35 | 0 35 | 0 21 | 0 7 | * 72 | 1 1 ----------------+----+-----+--------+---------+---------+--------+-------+---- o3x3o3o3o3o3o . ♦ 28 | 168 | 56 280 | 70 280 | 56 168 | 28 56 | 8 8 | 9 * . x3o3o3o3o3o3o ♦ 8 | 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 | * 9
xo3ox3oo3oo3oo3oo3oo&#x → height = 3/4
(oca || roc)
o.3o.3o.3o.3o.3o.3o. | 8 * ♦ 7 7 0 | 21 7 21 0 0 | 35 21 35 0 0 | 35 35 35 0 0 | 21 35 21 0 0 | 7 21 7 0 0 | 1 7 1 0
.o3.o3.o3.o3.o3.o3.o | * 28 ♦ 0 2 12 | 0 1 12 6 30 | 0 6 30 15 40 | 0 15 40 20 30 | 0 20 30 15 12 | 0 15 12 6 2 | 0 6 2 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x. .. .. .. .. .. .. | 2 0 | 28 * * | 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
oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | * 56 * | 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
.. .x .. .. .. .. .. | 0 2 | * * 168 | 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. .. .. .. .. .. | 3 0 | 3 0 0 | 56 * * * * | 5 1 0 0 0 | 10 5 0 0 0 | 10 10 0 0 0 | 5 10 0 0 0 | 1 5 0 0
xo .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 28 * * * ♦ 0 6 0 0 0 | 0 15 0 0 0 | 0 20 0 0 0 | 0 15 0 0 0 | 0 6 0 0
.. ox .. .. .. .. ..&#x | 1 2 | 0 2 1 | * * 168 * * | 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.x .. .. .. .. .. | 0 3 | 0 0 3 | * * * 56 * ♦ 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.o .. .. .. .. | 0 3 | 0 0 3 | * * * * 280 | 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. .. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 70 * * * * | 4 1 0 0 0 | 6 4 0 0 0 | 4 6 0 0 0 | 1 4 0 0
xo3ox .. .. .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 56 * * * ♦ 0 5 0 0 0 | 0 10 0 0 0 | 0 10 0 0 0 | 0 5 0 0
.. ox3oo .. .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 280 * * | 0 1 4 0 0 | 0 4 6 0 0 | 0 6 4 0 0 | 0 4 1 0
.o3.x3.o .. .. .. .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 70 * ♦ 0 1 0 4 0 | 0 4 0 6 0 | 0 6 0 4 0 | 0 4 0 1
.. .x3.o3.o .. .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 280 | 0 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 0 3 1 1
------------------------+------+-----------+------------------+------------------+------------------+-----------------+-------------+--------
x.3o.3o.3o. .. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 56 * * * * | 3 1 0 0 0 | 3 3 0 0 0 | 1 3 0 0
xo3ox3oo .. .. .. ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 70 * * * ♦ 0 4 0 0 0 | 0 6 0 0 0 | 0 4 0 0
.. ox3oo3oo .. .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 280 * * | 0 1 3 0 0 | 0 3 3 0 0 | 0 3 1 0
.o3.x3.o3.o .. .. .. ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 56 * ♦ 0 1 0 3 0 | 0 3 0 3 0 | 0 3 0 1
.. .x3.o3.o3.o .. .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 168 | 0 0 1 1 2 | 0 1 2 2 1 | 0 2 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 | 28 * * * * | 2 1 0 0 0 | 1 2 0 0
xo3ox3oo3oo .. .. ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 56 * * * | 0 3 0 0 0 | 0 3 0 0
.. ox3oo3oo3oo .. ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 168 * * | 0 1 2 0 0 | 0 2 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 | * * * 28 * | 0 1 0 2 0 | 0 2 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 | * * * * 56 | 0 0 1 1 1 | 0 1 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 | 8 * * * * | 1 1 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 | * 28 * * * | 0 2 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 | * * 56 * * | 0 1 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 | * * * 8 * | 0 1 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 | * * * * 8 | 0 0 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 | 1 * * *
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 | * 8 * *
.. 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 | * * 8 *
.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 | * * * 1
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