rilpy

Acronym	rilpy
Name	rectified-heptapetonal pyramid, vertex pyramid of demihepteract
Circumradius	sqrt(7/8) = 0.935414
Inradius wrt. hop	5/sqrt(56) = 0.668153
Inradius wrt. rixpy	1/sqrt(8) = 0.353553
Inradius wrt. ril	-3/sqrt(56) = -0.400892
Volume	19 sqrt(2)/13440 = 0.0019993
Dihedral angles (at margins)	at hix between hop and rixpy: arccos[-1/sqrt(7)] = 112.207654° at rappy between rixpy and rixpy: 90° at rix between ril and rixpy: arccos[1/sqrt(7)] = 67.792346° at hix between hop and ril: arccos(5/7) = 44.415309°
Face vector	22, 126, 280, 315, 203, 77, 15
Confer	uniform relative: hesa general polytopal classes: segmentoexa fundamental lace prisms analogs: rectified simplex pyramid rS_n-py

Incidence matrix according to Dynkin symbol

oo3ox3oo3oo3oo3oo&#x   → height = sqrt(2/7) = 0.534522
(pt || ril)

o.3o.3o.3o.3o.3o.    | 1  * ♦ 21   0 | 105  0   0 | 35 140  0   0 | 35 105  0  0 | 21 42 0 0 | 7 7 0
.o3.o3.o3.o3.o3.o    | * 21 |  1  10 |  10  5  20 |  5  20 10  20 | 10  20 10 10 | 10 10 5 2 | 5 2 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
oo3oo3oo3oo3oo3oo&#x | 1  1 | 21   * ♦  10  0   0 |  5  20  0   0 | 10  20  0  0 | 10 10 0 0 | 5 2 0
.. .x .. .. .. ..    | 0  2 |  * 105 |   1  1   4 |  1   4  4   6 |  4   6  6  4 |  6  4 4 1 | 4 1 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
.. ox .. .. .. ..&#x | 1  2 |  2   1 | 105  *   * |  1   4  0   0 |  4   6  0  0 |  6  4 0 0 | 4 1 0
.o3.x .. .. .. ..    | 0  3 |  0   3 |   * 35   * |  1   0  4   0 |  4   0  6  0 |  6  0 4 0 | 4 0 1
.. .x3.o .. .. ..    | 0  3 |  0   3 |   *  * 140 |  0   1  1   3 |  1   3  3  3 |  3  3 3 1 | 3 1 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
oo3ox .. .. .. ..&#x ♦ 1  3 |  3   3 |   3  1   0 | 35   *  *   * ?  4   0  0  0 |  6  0 0 0 | 4 0 0
.. ox3oo .. .. ..&#x ♦ 1  3 |  3   3 |   3  0   1 |  * 140  *   * |  1   3  0  0 |  3  3 0 0 | 3 1 0
.o3.x3.o .. .. ..    ♦ 0  6 |  0  12 |   0  4   4 |  *   * 35   * |  1   0  3  0 |  3  0 3 0 | 3 0 1
.. .x3.o3.o .. ..    ♦ 0  4 |  0   6 |   0  0   4 |  *   *  * 105 |  0   1  1  2 |  1  2 2 1 | 2 1 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
oo3ox3oo .. .. ..&#x ♦ 1  6 |  6  12 |  12  4   4 |  4   4  1   0 | 35   *  *  * |  3  0 0 0 | 3 0 0
.. ox3oo3oo .. ..&#x ♦ 1  4 |  4   6 |   6  0   4 |  0   4  0   1 |  * 105  *  * |  1  2 0 0 | 2 1 0
.o3.x3.o3.o .. ..    ♦ 0 10 |  0  30 |   0 10  20 |  0   0  5   5 |  *   * 21  * |  1  0 2 0 | 2 0 1
.. .x3.o3.o3.o ..    ♦ 0  5 |  0  10 |   0  0  10 |  0   0  0   5 |  *   *  * 42 |  0  1 1 1 | 1 1 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
oo3ox3oo3oo .. ..&#x ♦ 1 10 | 10  30 |  30 10  20 | 10  20  5   5 |  5   5  1  0 | 21  * * * | 2 0 0
.. ox3oo3oo3oo ..&#x ♦ 1  5 |  5  10 |  10  0  10 |  0  10  0   5 |  0   5  0  1 |  * 42 * * | 1 1 0
.o3.x3.o3.o3.o ..    ♦ 0 15 |  0  60 |   0 20  60 |  0   0 15  30 |  0   0  6  6 |  *  * 7 * | 1 0 1
.. .x3.o3.o3.o3.o    ♦ 0  6 |  0  15 |   0  0  20 |  0   0  0  15 |  0   0  0  6 |  *  * * 7 | 0 1 1
---------------------+------+--------+------------+---------------+--------------+-----------+------
oo3ox3oo3oo3oo ..&#x ♦ 1 15 | 15  60 |  60 20  60 | 20  60 15  30 | 15  30  6  6 |  6  6 1 0 | 7 * *
.. ox3oo3oo3oo3oo&#x ♦ 1  6 |  6  15 |  15  0  20 |  0  20  0  15 |  0  15  0  6 |  0  6 0 1 | * 7 *
.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 | * * 1

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