| Acronym | open |
| Name | octagon-pentachoron duoprism |
| Circumradius | sqrt[(14+5 sqrt(2))/10] = 1.451588 |
| Volume | [1+sqrt(2)] sqrt(5)/48 = 0.112466 |
| Face vector | 40, 120, 165, 130, 58, 13 |
| Confer |
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As abstract polytope open is isomoph to stopen, then replacing octagons by octagrams, resp. op by stop, resp. todip by tistodip, resp. otet by stotet.
Incidence matrix according to Dynkin symbol
x8o x3o3o3o . . . . . . | 40 | 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 ------------+----+-------+---------+----------+---------+---- x . . . . . | 2 | 40 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 . . x . . . | 2 | * 80 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 ------------+----+-------+---------+----------+---------+---- x8o . . . . | 8 | 8 0 | 5 * * ♦ 4 0 0 | 6 0 0 | 4 0 x . x . . . | 4 | 2 2 | * 80 * | 1 3 0 | 3 3 0 | 3 1 . . x3o . . | 3 | 0 3 | * * 80 | 0 2 2 | 1 4 1 | 2 2 ------------+----+-------+---------+----------+---------+---- x8o x . . . ♦ 16 | 16 8 | 2 8 0 | 10 * * | 3 0 0 | 3 0 x . x3o . . ♦ 6 | 3 6 | 0 3 2 | * 80 * | 1 2 0 | 2 1 . . x3o3o . ♦ 4 | 0 6 | 0 0 4 | * * 40 | 0 2 1 | 1 2 ------------+----+-------+---------+----------+---------+---- x8o x3o . . ♦ 24 | 24 24 | 3 24 8 | 3 8 0 | 10 * * | 2 0 x . x3o3o . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 40 * | 1 1 . . x3o3o3o ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 8 | 0 2 ------------+----+-------+---------+----------+---------+---- x8o x3o3o . ♦ 32 | 32 48 | 4 48 32 | 6 32 8 | 4 8 0 | 5 * x . x3o3o3o ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 8
x4x x3o3o3o . . . . . . | 40 | 1 1 4 | 1 4 4 6 | 4 6 6 4 | 6 4 4 1 | 4 1 1 ------------+----+----------+------------+-------------+------------+------ x . . . . . | 2 | 20 * * | 1 4 0 0 | 4 6 0 0 | 6 4 0 0 | 4 1 0 . x . . . . | 2 | * 20 * | 1 0 4 0 | 4 0 6 0 | 6 0 4 0 | 4 0 1 . . x . . . | 2 | * * 80 | 0 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ------------+----+----------+------------+-------------+------------+------ x4x . . . . | 8 | 4 4 0 | 5 * * * ♦ 4 0 0 0 | 6 0 0 0 | 4 0 0 x . x . . . | 4 | 2 0 2 | * 40 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x x . . . | 4 | 0 2 2 | * * 40 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . x3o . . | 3 | 0 0 3 | * * * 80 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+----+----------+------------+-------------+------------+------ x4x x . . . ♦ 16 | 8 8 8 | 2 4 4 0 | 10 * * * | 3 0 0 0 | 3 0 0 x . x3o . . ♦ 6 | 3 0 6 | 0 3 0 2 | * 40 * * | 1 2 0 0 | 2 1 0 . x x3o . . ♦ 6 | 0 3 6 | 0 0 3 2 | * * 40 * | 1 0 2 0 | 2 0 1 . . x3o3o . ♦ 4 | 0 0 6 | 0 0 0 4 | * * * 40 | 0 1 1 1 | 1 1 1 ------------+----+----------+------------+-------------+------------+------ x4x x3o . . ♦ 24 | 12 12 24 | 3 12 12 8 | 3 4 4 0 | 10 * * * | 2 0 0 x . x3o3o . ♦ 8 | 4 0 12 | 0 6 0 8 | 0 4 0 2 | * 20 * * | 1 1 0 . x x3o3o . ♦ 8 | 0 4 12 | 0 0 6 8 | 0 0 4 2 | * * 20 * | 1 0 1 . . x3o3o3o ♦ 5 | 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 8 | 0 1 1 ------------+----+----------+------------+-------------+------------+------ x4x x3o3o . ♦ 32 | 16 16 48 | 4 24 24 32 | 6 16 16 8 | 4 4 4 0 | 5 * * x . x3o3o3o ♦ 10 | 5 0 20 | 0 10 0 20 | 0 10 0 10 | 0 5 0 2 | * 4 * . x x3o3o3o ♦ 10 | 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 4
xx8oo ox3oo3oo&#x → height = sqrt(5/8) = 0.790569
({8} || otet)
o.8o. o.3o.3o. | 8 * | 2 4 0 0 | 1 8 6 0 0 0 | 4 12 4 0 0 0 | 6 8 1 0 0 | 4 2 0
.o8.o .o3.o3.o | * 32 | 0 1 2 3 | 0 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1
------------------+------+------------+-----------------+----------------+------------+------
x. .. .. .. .. | 2 0 | 8 * * * | 1 4 0 0 0 0 | 4 6 0 0 0 0 | 6 4 0 0 0 | 4 1 0
oo8oo oo3oo3oo&#x | 1 1 | * 32 * * | 0 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0
.x .. .. .. .. | 0 2 | * * 32 * | 0 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1
.. .. .x .. .. | 0 2 | * * * 48 | 0 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1
------------------+------+------------+-----------------+----------------+------------+------
x.8o. .. .. .. | 8 0 | 8 0 0 0 | 1 * * * * * ♦ 4 0 0 0 0 0 | 6 0 0 0 0 | 4 0 0
xx .. .. .. ..&#x | 2 2 | 1 2 1 0 | * 32 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0
.. .. ox .. ..&#x | 1 2 | 0 2 0 1 | * * 48 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0
.x8.o .. .. .. | 0 8 | 0 0 8 0 | * * * 4 * * ♦ 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1
.x .. .x .. .. | 0 4 | 0 0 2 2 | * * * * 48 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1
.. .. .x3.o .. | 0 3 | 0 0 0 3 | * * * * * 32 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1
------------------+------+------------+-----------------+----------------+------------+------
xx8oo .. .. ..&#x ♦ 8 8 | 8 8 8 0 | 1 8 0 1 0 0 | 4 * * * * * | 3 0 0 0 0 | 3 0 0
xx .. ox .. ..&#x ♦ 2 4 | 1 4 2 2 | 0 2 2 0 1 0 | * 48 * * * * | 1 2 0 0 0 | 1 2 0
.. .. ox3oo ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 1 | * * 32 * * * | 0 2 1 0 0 | 1 2 0
.x8.o .x .. .. ♦ 0 16 | 0 0 16 8 | 0 0 0 2 8 0 | * * * 6 * * | 1 0 0 2 0 | 2 0 1
.x .. .x3.o .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 | * * * * 32 * | 0 1 0 1 1 | 1 1 1
.. .. .x3.o3.o ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 8 | 0 0 1 0 2 | 0 2 1
------------------+------+------------+-----------------+----------------+------------+------
xx8oo ox .. ..&#x ♦ 8 16 | 8 16 16 8 | 1 16 8 2 8 0 | 2 8 0 1 0 0 | 6 * * * * | 2 0 0
xx .. ox3oo ..&#x ♦ 2 6 | 1 6 3 6 | 0 3 6 0 3 2 | 0 3 2 0 1 0 | * 32 * * * | 1 1 0
.. .. ox3oo3oo&#x ♦ 1 4 | 0 4 0 6 | 0 0 6 0 0 4 | 0 0 4 0 0 1 | * * 8 * * | 0 2 0
.x8.o .x3.o .. ♦ 0 24 | 0 0 24 24 | 0 0 0 3 24 8 | 0 0 0 3 8 0 | * * * 4 * | 1 0 1
.x .. .x3.o3.o ♦ 0 8 | 0 0 4 12 | 0 0 0 0 6 8 | 0 0 0 0 4 2 | * * * * 8 | 0 1 1
------------------+------+------------+-----------------+----------------+------------+------
xx8oo ox3oo ..&#x ♦ 8 24 | 8 24 24 24 | 1 24 24 3 24 8 | 3 24 8 3 8 0 | 3 8 0 1 0 | 4 * *
xx .. ox3oo3oo&#x ♦ 2 8 | 1 8 4 12 | 0 4 12 0 6 8 | 0 6 8 0 4 2 | 0 4 2 0 1 | * 8 *
.x8.o .x3.o3.o ♦ 0 32 | 0 0 32 48 | 0 0 0 4 48 32 | 0 0 0 6 32 8 | 0 0 0 4 8 | * * 1
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