Acronym | ... |
Name |
q x3o3o3o, variation of pentachoron prism, vertex figure of rectified hexeract |
Circumradius | sqrt(9/10) = 0.948683 |
Volume | sqrt(10)/96 = 0.032940 |
Face vector | 10, 25, 30, 20, 7 |
Confer |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
q x3o3o3o . . . . . | 10 | 1 4 | 4 6 | 6 4 | 4 1 ----------+----+------+-------+-------+---- q . . . . | 2 | 5 * ♦ 4 0 | 6 0 | 4 0 . x . . . | 2 | * 20 | 1 3 | 3 3 | 3 1 ----------+----+------+-------+-------+---- q x . . . | 4 | 2 2 | 10 * | 3 0 | 3 0 . x3o . . | 3 | 0 3 | * 20 | 1 2 | 2 1 ----------+----+------+-------+-------+---- q x3o . . ♦ 6 | 3 6 | 3 2 | 10 * | 2 0 . x3o3o . ♦ 4 | 0 6 | 0 4 | * 10 | 1 1 ----------+----+------+-------+-------+---- q x3o3o . ♦ 8 | 4 12 | 6 8 | 4 2 | 5 * . x3o3o3o ♦ 5 | 0 10 | 0 10 | 0 5 | * 2
xx3oo3oo3oo&#q → height = sqrt(2) = 1.414214
(pen || pen)
o.3o.3o.3o. | 5 * | 4 1 0 | 6 4 0 | 4 6 0 | 1 4 0
.o3.o3.o3.o | * 5 | 0 1 4 | 0 4 6 | 0 6 4 | 0 4 1
---------------+-----+---------+----------+--------+------
x. .. .. .. | 2 0 | 10 * * | 3 1 0 | 3 3 0 | 1 3 0
oo3oo3oo3oo&#q | 1 1 | * 5 * ♦ 0 4 0 | 0 6 0 | 0 4 0
.x .. .. .. | 0 2 | * * 10 | 0 1 3 | 0 3 3 | 0 3 1
---------------+-----+---------+----------+--------+------
x.3o. .. .. | 3 0 | 3 0 0 | 10 * * | 2 1 0 | 1 2 0
xx .. .. ..&#q | 2 2 | 1 2 1 | * 10 * | 0 3 0 | 0 3 0
.x3.o .. .. | 0 3 | 0 0 3 | * * 10 | 0 1 2 | 0 2 1
---------------+-----+---------+----------+--------+------
x.3o.3o. .. ♦ 4 0 | 6 0 0 | 4 0 0 | 5 * * | 1 1 0
xx3oo .. ..&#q ♦ 3 3 | 3 3 3 | 1 3 1 | * 10 * | 0 2 0
.x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 5 | 0 1 1
---------------+-----+---------+----------+--------+------
x.3o.3o.3o. ♦ 5 0 | 10 0 0 | 10 0 0 | 5 0 0 | 1 * *
xx3oo3oo ..&#q ♦ 4 4 | 6 4 6 | 4 6 4 | 1 4 1 | * 5 *
.x3.o3.o3.o ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 1
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