Acronym | renepy |
Name |
rectified-enneazettonal pyramid, vertex pyramid of demienneract |
Circumradius | 3/sqrt(8) = 1.060660 |
Inradius wrt. ene | 7/sqrt(72) = 0.824958 |
Inradius wrt. rocpy | 1/sqrt(8) = 0.353553 |
Inradius wrt. rene | -5/sqrt(72) = -0.589256 |
Volume | 247 sqrt(2)/5806080 = 0.000060163 |
Dihedral angles
(at margins) | |
Face vector | 37, 288, 840, 1344, 1386, 966, 444, 126, 19 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3ox3oo3oo3oo3oo3oo3oo&#x → height = sqrt(2)/3 = 0.471405
(pt || rene)
o.3o.3o.3o.3o.3o.3o.3o. | 1 * ♦ 36 0 | 252 0 0 | 84 504 0 0 | 126 630 0 0 | 126 504 0 0 | 84 252 0 0 | 36 72 0 0 | 9 9 0
.o3.o3.o3.o3.o3.o3.o3.o | * 36 | 1 14 | 14 7 42 | 7 42 21 70 | 21 70 35 70 | 35 70 35 42 | 35 42 21 14 | 21 14 7 2 | 7 2 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | 36 * ♦ 14 0 0 | 7 42 0 0 | 21 70 0 0 | 35 70 0 0 | 35 42 0 0 | 21 14 0 0 | 7 2 0
.. .x .. .. .. .. .. .. | 0 2 | * 252 | 1 1 6 | 1 6 6 15 | 6 15 15 20 | 15 20 20 15 | 20 15 15 6 | 15 6 6 1 | 6 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
.. ox .. .. .. .. .. ..&#x | 1 2 | 2 1 | 252 * * | 1 6 0 0 | 6 15 0 0 | 15 20 0 0 | 20 15 0 0 | 15 6 0 0 | 6 1 0
.o3.x .. .. .. .. .. .. | 0 3 | 0 3 | * 84 * | 1 0 6 0 | 6 0 15 0 | 15 0 20 0 | 20 0 15 0 | 15 0 6 0 | 6 0 1
.. .x3.o .. .. .. .. .. | 0 3 | 0 3 | * * 504 | 0 1 1 5 | 1 5 5 10 | 5 10 10 10 | 10 10 10 5 | 10 5 5 1 | 5 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox .. .. .. .. .. ..&#x ♦ 1 3 | 3 3 | 3 1 0 | 84 * * * ♦ 6 0 0 0 | 15 0 0 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0
.. ox3oo .. .. .. .. ..&#x ♦ 1 3 | 3 3 | 3 0 1 | * 504 * * | 1 5 0 0 | 5 10 0 0 | 10 10 0 0 | 10 5 0 0 | 5 1 0
.o3.x3.o .. .. .. .. .. ♦ 0 6 | 0 12 | 0 4 4 | * * 126 * | 1 0 5 0 | 5 0 10 0 | 10 0 10 0 | 10 0 5 0 | 5 0 1
.. .x3.o3.o .. .. .. .. ♦ 0 4 | 0 6 | 0 0 4 | * * * 630 | 0 1 1 4 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox3oo .. .. .. .. ..&#x ♦ 1 6 | 6 12 | 12 4 4 | 4 4 1 0 | 126 * * * ♦ 5 0 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0
.. ox3oo3oo .. .. .. ..&#x ♦ 1 4 | 4 6 | 6 0 4 | 0 4 0 1 | * 630 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0
.o3.x3.o3.o .. .. .. .. ♦ 0 10 | 0 30 | 0 10 20 | 0 0 5 5 | * * 126 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1
.. .x3.o3.o3.o .. .. .. ♦ 0 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 504 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox3oo3oo .. .. .. ..&#x ♦ 1 10 | 10 30 | 30 10 20 | 10 20 5 5 | 5 5 1 0 | 126 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0
.. ox3oo3oo3oo .. .. ..&#x ♦ 1 5 | 5 10 | 10 0 10 | 0 10 0 5 | 0 5 0 1 | * 504 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0
.o3.x3.o3.o3.o .. .. .. ♦ 0 15 | 0 60 | 0 20 60 | 0 0 15 30 | 0 0 6 6 | * * 84 * | 1 0 3 0 | 3 0 3 0 | 3 0 1
.. .x3.o3.o3.o3.o .. .. ♦ 0 6 | 0 15 | 0 0 20 | 0 0 0 15 | 0 0 0 6 | * * * 252 | 0 1 1 2 | 1 2 2 1 | 2 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox3oo3oo3oo .. .. ..&#x ♦ 1 15 | 15 60 | 60 20 60 | 20 60 15 30 | 15 30 6 6 | 6 6 1 0 | 84 * * * | 3 0 0 0 | 3 0 0
.. ox3oo3oo3oo3oo .. ..&#x ♦ 1 6 | 6 15 | 15 0 20 | 0 20 0 15 | 0 15 0 6 | 0 6 0 1 | * 252 * * | 1 2 0 0 | 2 1 0
.o3.x3.o3.o3.o3.o .. .. ♦ 0 21 | 0 105 | 0 35 140 | 0 0 35 105 | 0 0 21 42 | 0 0 7 7 | * * 36 * | 1 0 2 0 | 2 0 1
.. .x3.o3.o3.o3.o3.o .. ♦ 0 7 | 0 21 | 0 0 35 | 0 0 0 35 | 0 0 0 21 | 0 0 0 7 | * * * 72 | 0 1 1 1 | 1 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox3oo3oo3oo3oo .. ..&#x ♦ 1 21 | 21 105 | 105 35 140 | 35 140 35 105 | 35 105 21 42 | 21 42 7 7 | 7 7 1 0 | 36 * * * | 2 0 0
.. ox3oo3oo3oo3oo3oo ..&#x ♦ 1 7 | 7 21 | 21 0 35 | 0 35 0 35 | 0 35 0 21 | 0 21 0 7 | 0 7 0 1 | * 72 * * | 1 1 0
.o3.x3.o3.o3.o3.o3.o .. ♦ 0 28 | 0 168 | 0 56 280 | 0 0 70 280 | 0 0 56 168 | 0 0 28 56 | 0 0 8 8 | * * 9 * | 1 0 1
.. .x3.o3.o3.o3.o3.o3.o ♦ 0 8 | 0 28 | 0 0 56 | 0 0 0 70 | 0 0 0 56 | 0 0 0 28 | 0 0 0 8 | * * * 9 | 0 1 1
---------------------------+------+--------+------------+----------------+-----------------+----------------+--------------+-----------+------
oo3ox3oo3oo3oo3oo3oo ..&#x ♦ 1 28 | 28 168 | 168 56 280 | 56 280 70 280 | 70 280 56 168 | 56 168 28 56 | 28 56 8 8 | 8 8 1 0 | 9 * *
.. ox3oo3oo3oo3oo3oo3oo&#x ♦ 1 8 | 8 28 | 28 0 56 | 0 56 0 70 | 0 70 0 56 | 0 56 0 28 | 0 28 0 8 | 0 8 0 1 | * 9 *
.o3.x3.o3.o3.o3.o3.o3.o ♦ 0 36 | 0 252 | 0 84 504 | 0 0 126 630 | 0 0 126 504 | 0 0 84 252 | 0 0 36 72 | 0 0 9 9 | * * 1
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