Acronym ...
Name w x8o,
variation of octagonal prism,
hull of 8/3-prism
Circumradius sqrt[7+4 sqrt(2)]/2 = 1.778824
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between w x and w x (at w):   135°
  • between w x and x8o:   90°
Confer
uniform variant:
op  
variations:
q x8o  

Incidence matrix according to Dynkin symbol

w x8o

. . . | 16 | 1  2 | 2 1
------+----+------+----
w . . |  2 | 8  * | 2 0
. x . |  2 | * 16 | 1 1
------+----+------+----
w x . |  4 | 2  2 | 8 *
. x8o |  8 | 0  8 | * 2

w x4x

. . . | 16 | 1 1 1 | 1 1 1
------+----+-------+------
w . . |  2 | 8 * * | 1 1 0
. x . |  2 | * 8 * | 1 0 1
. . x |  2 | * * 8 | 0 1 1
------+----+-------+------
w x . |  4 | 2 2 0 | 4 * *
w . x |  4 | 2 0 2 | * 4 *
. x4x |  8 | 0 4 4 | * * 2

xx8oo&#w   → height = 1+sqrt(2) = 2.414214
({8} || {8})

o.8o.    | 8 * | 2 1 0 | 1 2 0
.o8.o    | * 8 | 0 1 2 | 0 2 1
---------+-----+-------+------
x. ..    | 2 0 | 8 * * | 1 1 0
oo8oo&#w | 1 1 | * 8 * | 0 2 0
.x ..    | 0 2 | * * 8 | 0 1 1
---------+-----+-------+------
x.8o.    | 8 0 | 8 0 0 | 1 * *
xx ..&#w | 2 2 | 1 2 1 | * 8 *
.x8.o    | 0 8 | 0 0 8 | * * 1

xx4xx&#w   → height = 1+sqrt(2) = 2.414214
({8} || {8})

o.4o.    | 8 * | 1 1 1 0 0 | 1 1 1 0
.o4.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
oo4oo&#w | 1 1 | * * 8 * * | 0 1 1 0
.x ..    | 0 2 | * * * 4 * | 0 1 0 1
.. .x    | 0 2 | * * * * 4 | 0 0 1 1
---------+-----+-----------+--------
x.4x.    | 8 0 | 4 4 0 0 0 | 1 * * *
xx ..&#w | 2 2 | 1 0 2 1 0 | * 4 * *
.. xx&#w | 2 2 | 0 1 2 0 1 | * * 4 *
.x4.x    | 0 8 | 0 0 0 4 4 | * * * 1

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