| Acronym | ogasc |
| Name |
octagram-scalene, octagram-pyramidal pyramid, line atop fully orthogonal octagram |
| Circumradius | sqrt[(4+sqrt(2))/14] = 0.621876 |
| Dual | (topologically selfdual, in different orientation) |
| Face vector | 10, 25, 25, 10 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo ox4/3ox&#x → height = sqrt[2 sqrt(2)-1]/2 = 0.676097
(pyramid product of line with {8/3})
o. o.4/3o. | 2 * ♦ 1 8 0 0 | 8 4 4 0 | 4 4 1
.o .o4/3.o | * 8 | 0 2 1 1 | 1 2 2 1 | 1 1 2
--------------+-----+----------+---------+------
x. .. .. | 2 0 | 1 * * * | 8 0 0 0 | 4 4 0
oo oo4/3oo&#x | 1 1 | * 16 * * | 1 1 1 0 | 1 1 1
.. .x .. | 0 2 | * * 4 * | 0 2 0 1 | 1 0 2
.. .. .x | 0 2 | * * * 4 | 0 0 2 1 | 0 1 2
--------------+-----+----------+---------+------
xo .. ..&#x | 2 1 | 1 2 0 0 | 8 * * * | 1 1 0
.. ox ..&#x | 1 2 | 0 2 1 0 | * 8 * * | 1 0 1
.. .. ox&#x | 1 2 | 0 2 0 1 | * * 8 * | 0 1 1
.. .x4/3.x | 0 8 | 0 0 4 4 | * * * 1 | 0 0 2 {8/3}
--------------+-----+----------+---------+------
xo ox ..&#x ♦ 2 2 | 1 4 1 0 | 2 2 0 0 | 4 * *
xo .. ox&#x ♦ 2 2 | 1 4 0 1 | 2 0 2 0 | * 4 *
.. ox4/3ox&#x ♦ 1 8 | 0 8 4 4 | 0 4 4 1 | * * 2
xo ox8/3oo&#x → height = sqrt[2 sqrt(2)-1]/2 = 0.676097
(pyramid product of line with {8/3})
o. o.8/3o. | 2 * ♦ 1 8 0 | 8 8 0 | 8 1
.o .o8/3.o | * 8 | 0 2 2 | 1 4 1 | 2 2
--------------+-----+--------+--------+----
x. .. .. | 2 0 | 1 * * | 8 0 0 | 8 0
oo oo8/3oo&#x | 1 1 | * 16 * | 1 2 0 | 2 1
.. .x .. | 0 2 | * * 8 | 0 2 1 | 1 2
--------------+-----+--------+--------+----
xo .. ..&#x | 2 1 | 1 2 0 | 8 * * | 2 0
.. ox ..&#x | 1 2 | 0 2 1 | * 16 * | 1 1
.. .x8/3.o | 0 8 | 0 0 8 | * * 1 | 0 2 {8/3}
--------------+-----+--------+--------+----
xo ox ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 8 *
.. ox8/3oo&#x ♦ 1 8 | 0 8 8 | 0 8 1 | * 2
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