Acronym hopip
Name heptapeton prism,
vertex figure of rene
Circumradius sqrt(19/28) = 0.823754
Confer
general polytopal classes:
segmentoexa  

Incidence matrix according to Dynkin symbol

x x3o3o3o3o3o

. . . . . . . | 14 | 1  6 |  6 15 | 15 20 | 20 15 | 15  6 | 6 1
--------------+----+------+-------+-------+-------+-------+----
x . . . . . . |  2 | 7  *   6  0 | 15  0 | 20  0 | 15  0 | 6 0
. x . . . . . |  2 | * 42 |  1  5 |  5 10 | 10 10 | 10  5 | 5 1
--------------+----+------+-------+-------+-------+-------+----
x x . . . . . |  4 | 2  2 | 21  *   5  0 | 10  0 | 10  0 | 5 0
. x3o . . . . |  3 | 0  3 |  * 70 |  1  4 |  4  6 |  6  4 | 4 1
--------------+----+------+-------+-------+-------+-------+----
x x3o . . . .   6 | 3  6 |  3  2 | 35  *   4  0 |  6  0 | 4 0
. x3o3o . . .   4 | 0  6 |  0  4 |  * 70 |  1  3 |  3  3 | 3 1
--------------+----+------+-------+-------+-------+-------+----
x x3o3o . . .   8 | 4 12 |  6  8 |  4  2 | 35  * |  3  0 | 3 0
. x3o3o3o . .   5 | 0 10 |  0 10 |  0  5 |  * 42 |  1  2 | 2 1
--------------+----+------+-------+-------+-------+-------+----
x x3o3o3o . .  10 | 5 20 | 10 20 | 10 10 |  5  2 | 21  * | 2 0
. x3o3o3o3o .   6 | 0 15 |  0 20 |  0 15 |  0  6 |  * 14 | 1 1
--------------+----+------+-------+-------+-------+-------+----
x x3o3o3o3o .  12 | 6 30 | 15 40 | 20 30 | 15 12 |  6  2 | 7 *
. x3o3o3o3o3o   7 | 0 21 |  0 35 |  0 35 |  0 21 |  0  7 | * 2

xx3oo3oo3oo3oo3oo&#x   → height = 1
(hop || hop)

o.3o.3o.3o.3o.3o.    | 7 * |  6 1  0 | 15  6  0 | 20 15  0 | 15 20  0 | 6 15 0 | 1 6 0
.o3.o3.o3.o3.o3.o    | * 7 |  0 1  6 |  0  6 15 |  0 15 20 |  0 20 15 | 0 15 6 | 0 6 1
---------------------+-----+---------+----------+----------+----------+--------+------
x. .. .. .. .. ..    | 2 0 | 21 *  * |  5  1  0 | 10  5  0 | 10 10  0 | 5 10 0 | 1 5 0
oo3oo3oo3oo3oo3oo&#x | 1 1 |  * 7  *   0  6  0 |  0 15  0 |  0 20  0 | 0 15 0 | 0 6 0
.x .. .. .. .. ..    | 0 2 |  * * 21 |  0  1  5 |  0  5 10 |  0 10 10 | 0 10 5 | 0 5 1
---------------------+-----+---------+----------+----------+----------+--------+------
x.3o. .. .. .. ..    | 3 0 |  3 0  0 | 35  *  * |  4  1  0 |  6  4  0 | 4  6 0 | 1 4 0
xx .. .. .. .. ..&#x | 2 2 |  1 2  1 |  * 21  *   0  5  0 |  0 10  0 | 0 10 0 | 0 5 0
.x3.o .. .. .. ..    | 0 3 |  0 0  3 |  *  * 35 |  0  1  4 |  0  4  6 | 0  6 4 | 0 4 1
---------------------+-----+---------+----------+----------+----------+--------+------
x.3o.3o. .. .. ..     4 0 |  6 0  0 |  4  0  0 | 35  *  * |  3  1  0 | 3  3 0 | 1 3 0
xx3oo .. .. .. ..&#x  3 3 |  3 3  3 |  1  3  1 |  * 35  *   0  4  0 | 0  6 0 | 0 4 0
.x3.o3.o .. .. ..     0 4 |  0 0  6 |  0  0  4 |  *  * 35 |  0  1  3 | 0  3 3 | 0 3 1
---------------------+-----+---------+----------+----------+----------+--------+------
x.3o.3o.3o. .. ..     5 0 | 10 0  0 | 10  0  0 |  5  0  0 | 21  *  * | 2  1 0 | 1 2 0
xx3oo3oo .. .. ..&#x  4 4 |  6 4  6 |  4  6  4 |  1  4  1 |  * 35  * | 0  3 0 | 0 3 0
.x3.o3.o3.o .. ..     0 5 |  0 0 10 |  0  0 10 |  0  0  5 |  *  * 21 | 0  1 2 | 0 2 1
---------------------+-----+---------+----------+----------+----------+--------+------
x.3o.3o.3o.3o. ..     6 0 | 15 0  0 | 20  0  0 | 15  0  0 |  6  0  0 | 7  * * | 1 1 0
xx3oo3oo3oo .. ..&#x  5 5 | 10 5 10 | 10 10 10 |  5 10  5 |  1  5  1 | * 21 * | 0 2 0
.x3.o3.o3.o3.o ..     0 6 |  0 0 15 |  0  0 20 |  0  0 15 |  0  0  6 | *  * 7 | 0 1 1
---------------------+-----+---------+----------+----------+----------+--------+------
x.3o.3o.3o.3o.3o.     7 0 | 21 0  0 | 35  0  0 | 35  0  0 | 21  0  0 | 7  0 0 | 1 * *
xx3oo3oo3oo3oo ..&#x  6 6 | 15 6 15 | 20 15 20 | 15 20 15 |  6 15  6 | 1  6 1 | * 7 *
.x3.o3.o3.o3.o3.o     0 7 |  0 0 21 |  0  0 35 |  0  0 35 |  0  0 21 | 0  0 7 | * * 1

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