Acronym	ril (old: riss)
Name	rectified heptapeton
Circumradius	sqrt(5/7) = 0.845154
External links

Incidence matrix according to Dynkin symbol

o3x3o3o3o3o

. . . . . . | 21 ♦  10 |  5  20 | 10  20 | 10 10 | 5 2
------------+----+-----+--------+--------+-------+----
. x . . . . |  2 | 105 |  1   4 |  4   6 |  6  4 | 4 1
------------+----+-----+--------+--------+-------+----
o3x . . . . |  3 |   3 | 35   * ♦  4   0 |  6  0 | 4 0
. x3o . . . |  3 |   3 |  * 140 |  1   3 |  3  3 | 3 1
------------+----+-----+--------+--------+-------+----
o3x3o . . . ♦  6 |  12 |  4   4 | 35   * |  3  0 | 3 0
. x3o3o . . ♦  4 |   6 |  0   4 |  * 105 |  1  2 | 2 1
------------+----+-----+--------+--------+-------+----
o3x3o3o . . ♦ 10 |  30 | 10  20 |  5   5 | 21  * | 2 0
. x3o3o3o . ♦  5 |  10 |  0  10 |  0   5 |  * 42 | 1 1
------------+----+-----+--------+--------+-------+----
o3x3o3o3o . ♦ 15 |  60 | 20  60 | 15  30 |  6  6 | 7 *
. x3o3o3o3o ♦  6 |  15 |  0  20 |  0  15 |  0  6 | * 7

xo3ox3oo3oo3oo&#x   → height = sqrt(7/12) = 0.763763
(hix || rap)

o.3o.3o.3o.3o.    | 6  * ♦  5  5  0 | 10  5 10  0  0 | 10 10 10  0  0 | 5 10  5 0 0 | 1 5 1 0
.o3.o3.o3.o3.o    | * 15 ♦  0  2  8 |  0  1  8  4 12 |  0  4 12  6  8 | 0  6  8 4 2 | 0 4 2 1
------------------+------+----------+----------------+----------------+-------------+--------
x. .. .. .. ..    | 2  0 | 15  *  * |  4  1  0  0  0 |  6  4  0  0  0 | 4  6  0 0 0 | 1 4 0 0
oo3oo3oo3oo3oo&#x | 1  1 |  * 30  * |  0  1  4  0  0 |  0  4  6  0  0 | 0  6  4 0 0 | 0 4 1 0
.. .x .. .. ..    | 0  2 |  *  * 60 |  0  0  1  1  3 |  0  1  3  3  3 | 0  3  3 3 1 | 0 3 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o. .. .. ..    | 3  0 |  3  0  0 | 20  *  *  *  * |  3  1  0  0  0 | 3  3  0 0 0 | 1 3 0 0
xo .. .. .. ..&#x | 2  1 |  1  2  0 |  * 15  *  *  * ♦  0  4  0  0  0 | 0  6  0 0 0 | 0 4 0 0
.. ox .. .. ..&#x | 1  2 |  0  2  1 |  *  * 60  *  * |  0  1  3  0  0 | 0  3  3 0 0 | 0 3 1 0
.o3.x .. .. ..    | 0  3 |  0  0  3 |  *  *  * 20  * ♦  0  1  0  3  0 | 0  3  0 3 0 | 0 3 0 1
.. .x3.o .. ..    | 0  3 |  0  0  3 |  *  *  *  * 60 |  0  0  1  1  2 | 0  1  2 2 1 | 0 2 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o. .. ..    ♦ 4  0 |  6  0  0 |  4  0  0  0  0 | 15  *  *  *  * | 2  1  0 0 0 | 1 2 0 0
xo3ox .. .. ..&#x ♦ 3  3 |  3  6  3 |  1  3  3  1  0 |  * 20  *  *  * | 0  3  0 0 0 | 0 3 0 0
.. ox3oo .. ..&#x ♦ 1  3 |  0  3  3 |  0  0  3  0  1 |  *  * 60  *  * | 0  1  2 0 0 | 0 2 1 0
.o3.x3.o .. ..    ♦ 0  6 |  0  0 12 |  0  0  0  4  4 |  *  *  * 15  * | 0  1  0 2 0 | 0 2 0 1
.. .x3.o3.o ..    ♦ 0  4 |  0  0  6 |  0  0  0  0  4 |  *  *  *  * 30 | 0  0  1 1 1 | 0 1 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o.3o. ..    ♦ 5  0 | 10  0  0 | 10  0  0  0  0 |  5  0  0  0  0 | 6  *  * * * | 1 1 0 0
xo3ox3oo .. ..&#x ♦ 4  6 |  6 12 12 |  4  6 12  4  4 |  1  4  4  1  0 | * 15  * * * | 0 2 0 0
.. ox3oo3oo ..&#x ♦ 1  4 |  0  4  6 |  0  0  6  0  4 |  0  0  4  0  1 | *  * 30 * * | 0 1 1 0
.o3.x3.o3.o ..    ♦ 0 10 |  0  0 30 |  0  0  0 10 20 |  0  0  0  5  5 | *  *  * 6 * | 0 1 0 1
.. .x3.o3.o3.o    ♦ 0  5 |  0  0 10 |  0  0  0  0 10 |  0  0  0  0  5 | *  *  * * 6 | 0 0 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 | 1 * * *
xo3ox3oo3oo ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 |  5 10 20  5  5 | 1  5  5 1 0 | * 6 * *
.. ox3oo3oo3oo&#x ♦ 1  5 |  0  5 10 |  0  0 10  0 10 |  0  0 10  0  5 | 0  0  5 0 1 | * * 6 *
.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 | * * * 1