Acronym stop (old: sop)
TOCID symbol (8/3)P
Name stellated octagonal prism,
8/3-prism,
8-prism with winding number 3
Circumradius sqrt[5-2 sqrt(2)]/2 = 0.736813
Vertex figure [42,8/3]
Coordinates ((sqrt(2)-1)/2, 1/2, 1/2)   & all permutations in all but last coord., all changes of sign
General of army w x8o
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {4} and {8/3}:   90°
  • between {4} and {4}:   45°
Confer
general prisms:
n/d-p  
blends:
groh  
general polytopal classes:
segmentohedra  

Incidence matrix according to Dynkin symbol

x x8/3o

. .   . | 16 | 1  2 | 2 1
--------+----+------+----
x .   . |  2 | 8  * | 2 0
. x   . |  2 | * 16 | 1 1
--------+----+------+----
x x   . |  4 | 2  2 | 8 *
. x8/3o |  8 | 0  8 | * 2

x x4/3x

. .   . | 16 | 1 1 1 | 1 1 1
--------+----+-------+------
x .   . |  2 | 8 * * | 1 1 0
. x   . |  2 | * 8 * | 1 0 1
. .   x |  2 | * * 8 | 0 1 1
--------+----+-------+------
x x   . |  4 | 2 2 0 | 4 * *
x .   x |  4 | 2 0 2 | * 4 *
. x4/3x |  8 | 0 4 4 | * * 2

xx8/3oo&#x   → height = 1
({8/3} || {8/3})

o.8/3o.    | 8 * | 2 1 0 | 1 2 0
.o8/3.o    | * 8 | 0 1 2 | 0 2 1
-----------+-----+-------+------
x.   ..    | 2 0 | 8 * * | 1 1 0
oo8/3oo&#x | 1 1 | * 8 * | 0 2 0
.x   ..    | 0 2 | * * 8 | 0 1 1
-----------+-----+-------+------
x.8/3o.    | 8 0 | 8 0 0 | 1 * *
xx   ..&#x | 2 2 | 1 2 1 | * 8 *
.x8/3.o    | 0 8 | 0 0 8 | * * 1

xx4/3xx&#x   → height = 1
({8/3} || {8/3})

o.4/3o.    | 8 * | 1 1 1 0 0 | 1 1 1 0
.o4/3.o    | * 8 | 0 0 1 1 1 | 0 1 1 1
-----------+-----+-----------+--------
x.   ..    | 2 0 | 4 * * * * | 1 1 0 0
..   x.    | 2 0 | * 4 * * * | 1 0 1 0
oo4/3oo&#x | 1 1 | * * 8 * * | 0 1 1 0
.x   ..    | 0 2 | * * * 4 * | 0 1 0 1
..   .x    | 0 2 | * * * * 4 | 0 0 1 1
-----------+-----+-----------+--------
x.4/3x.    | 8 0 | 4 4 0 0 0 | 1 * * *
xx   ..&#x | 2 2 | 1 0 2 1 0 | * 4 * *
..   xx&#x | 2 2 | 0 1 2 0 1 | * * 4 *
.x4/3.x    | 0 8 | 0 0 0 4 4 | * * * 1

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