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
related segmentochora:
line || perp {n} (n=8/3)  
general polytopal classes:
scalene  

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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