Acronym coaop, co || op, K-4.63
Name cuboctahedron atop octagonal-prism
Segmentochoron display / VRML
 
Circumradius (1+sqrt(8))/sqrt(7) = 1.447009
Lace city
in approx. ASCII-art
x4o   o4q   x4o
               
  x4x     x4x  
s8o q-š8o   s8o
               
  o8x     o8x  
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 28, 80, 72, 20
Confer
related segmentochora:
coasirco   antitetrawedge  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

((oq4xo qo))&#zx || x4x x   → height = sqrt[2 sqrt(2)-1]/2 = 0.676097
(co || op)

  o.4o. o.         . . . | 8 *  * | 2  2  2  0 0 0 0 | 1 1 2 1 2  2 0 0 0 0 0 | 1 1 1 2 0 0
  .o4.o .o         . . . | * 4  * | 0  4  0  4 0 0 0 | 0 2 2 0 0  4 2 2 0 0 0 | 1 0 2 2 1 0
  .. .. ..         o4o o | * * 16 | 0  0  1  1 1 1 1 | 0 0 0 1 1  1 1 1 1 1 1 | 0 1 1 1 1 1
-------------------------+--------+------------------+------------------------+------------
  .. x. ..         . . . | 2 0  0 | 8  *  *  * * * * | 1 0 1 0 1  0 0 0 0 0 0 | 1 1 0 1 0 0
  oo4oo oo  &#x    . . . | 1 1  0 | * 16  *  * * * * | 0 1 1 0 0  1 0 0 0 0 0 | 1 0 1 1 0 0
  o.4o. o.       || o4o o | 1 0  1 | *  * 16  * * * * | 0 0 0 1 1  1 0 0 0 0 0 | 0 1 1 1 0 0
  .o4.o .o       || o4o o | 0 1  1 | *  *  * 16 * * * | 0 0 0 0 0  1 1 1 0 0 0 | 0 0 1 1 1 0
  .. .. ..         x . . | 0 0  2 | *  *  *  * 8 * * | 0 0 0 1 0  0 0 0 1 0 1 | 0 1 1 0 0 1
  .. .. ..         . x . | 0 0  2 | *  *  *  * * 8 * | 0 0 0 0 1  0 1 0 1 0 1 | 0 1 0 1 1 1
  .. .. ..         . . x | 0 0  2 | *  *  *  * * * 8 | 0 0 0 0 0  0 0 1 0 1 1 | 0 0 1 0 1 1
-------------------------+--------+------------------+------------------------+------------
  o.4x. ..         . . . | 4 0  0 | 4  0  0  0 0 0 0 | 2 * * * *  * * * * * * | 1 1 0 0 0 0
((oq .. qo))&#zx   . . . | 2 2  0 | 0  4  0  0 0 0 0 | * 4 * * *  * * * * * * | 1 0 1 0 0 0
  .. xo ..  &#x    . . . | 2 1  0 | 1  2  0  0 0 0 0 | * * 8 * *  * * * * * * | 1 0 0 1 0 0
  o. .. ..       || x . . | 1 0  2 | 0  0  2  0 1 0 0 | * * * 8 *  * * * * * * | 0 1 1 0 0 0
  .. x. ..       || . x . | 2 0  2 | 1  0  2  0 0 1 0 | * * * * 8  * * * * * * | 0 1 0 1 0 0
  oo4oo oo  &#x  || o4o o | 1 1  1 | 0  1  1  1 0 0 0 | * * * * * 16 * * * * * | 0 0 1 1 0 0
  .. .o ..       || . x . | 0 1  2 | 0  0  0  2 0 1 0 | * * * * *  * 8 * * * * | 0 0 0 1 1 0
  .. .. .o       || . . x | 0 1  2 | 0  0  0  2 0 0 1 | * * * * *  * * 8 * * * | 0 0 1 0 1 0
  .. .. ..         x4x . | 0 0  8 | 0  0  0  0 4 4 0 | * * * * *  * * * 2 * * | 0 1 0 0 0 1
  .. .. ..         x . x | 0 0  4 | 0  0  0  0 0 2 2 | * * * * *  * * * * 4 * | 0 0 0 0 1 1
  .. .. ..         . x x | 0 0  4 | 0  0  0  0 2 0 2 | * * * * *  * * * * * 4 | 0 0 1 0 0 1
-------------------------+--------+------------------+------------------------+------------
((oq4xo qo))&#zx   . . .  8 4  0 | 8 16  0  0 0 0 0 | 2 4 8 0 0  0 0 0 0 0 0 | 1 * * * * *
  o.4x. ..       || x4x .  4 0  8 | 4  0  8  0 4 4 0 | 1 0 0 4 4  0 0 0 1 0 0 | * 2 * * * *
((oq .. qo))&#zx || x . x  2 2  4 | 0  4  4  4 2 0 2 | 0 1 0 2 0  4 0 2 0 0 1 | * * 4 * * *
  .. xo ..  &#x  || . x .  2 1  2 | 1  2  2  2 0 1 0 | 0 0 1 0 1  2 1 0 0 0 0 | * * * 8 * *
  .. .o .o       || . x x  0 1  4 | 0  0  0  4 0 2 2 | 0 0 0 0 0  0 2 2 0 1 0 | * * * * 4 *
  .. .. ..         x4x x  0 0 16 | 0  0  0  0 8 8 8 | 0 0 0 0 0  0 0 0 2 4 4 | * * * * * 1

(qo)x (sš)o8(oo)x&#x   → height(12,3) = sqrt[2 sqrt(2)-1]/2 = 0.676097
(co || op)

demi(  (o.). (o.).8(o.).    ) | 8 *  * | 2  2  2  0 0 0 0 | 1 1 2  2 2 1 0 0 0 0 0 | 1 1 2 1 0 0
other( (.o). (.o).8(.o).    ) | * 4  * | 0  4  0  4 0 0 0 | 0 2 2  4 0 0 2 2 0 0 0 | 1 2 2 0 1 0
       (..)o (..)o8(..)o      | * * 16 | 0  0  1  1 1 1 1 | 0 0 0  1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
------------------------------+--------+------------------+------------------------+------------
sefa(  (..). (s.).8(o.).    ) | 2 0  0 | 8  *  *  * * * * | 1 0 1  0 1 0 0 0 0 0 0 | 1 0 1 1 0 0
       (oo). (oo).8(oo).&#x   | 1 1  0 | * 16  *  * * * * | 0 1 1  1 0 0 0 0 0 0 0 | 1 1 1 0 0 0
       (o.)o (o.)o8(o.)o&#x   | 1 0  1 | *  * 16  * * * * | 0 0 0  1 1 1 0 0 0 0 0 | 0 1 1 1 0 0
       (.o)o (.o)o8(.o)o&#x   | 0 1  1 | *  *  * 16 * * * | 0 0 0  1 0 0 1 1 0 0 0 | 0 1 1 0 1 0
       (..)x (..). (..).      | 0 0  2 | *  *  *  * 8 * * | 0 0 0  0 0 0 1 0 1 1 0 | 0 1 0 0 1 1
demi(  (..). (..). (..)x    ) | 0 0  2 | *  *  *  * * 8 * | 0 0 0  0 1 0 0 1 1 0 1 | 0 0 1 1 1 1  medial below {4}
other( (..). (..). (..)x    ) | 0 0  2 | *  *  *  * * * 8 | 0 0 0  0 0 1 0 0 0 1 1 | 0 1 0 1 0 1  medial below {3}
------------------------------+--------+------------------+------------------------+------------
       (..). (s.).8(o.).      | 4 0  0 | 4  0  0  0 0 0 0 | 2 * *  * * * * * * * * | 1 0 0 1 0 0
sefa(  (qo). (sš).8(oo).&#x ) | 2 2  0 | 0  4  0  0 0 0 0 | * 4 *  * * * * * * * * | 1 1 0 0 0 0
sefa(  (..). (sš).8(oo).&#x ) | 2 1  0 | 1  2  0  0 0 0 0 | * * 8  * * * * * * * * | 1 0 1 0 0 0
       (oo)o (oo)o8(oo)o&#x   | 1 1  1 | 0  1  1  1 0 0 0 | * * * 16 * * * * * * * | 0 1 1 0 0 0
sefa1( (..). (s.)o8(o.)x&#x ) | 2 0  2 | 1  0  2  0 0 1 0 | * * *  * 8 * * * * * * | 0 0 1 1 0 0  {4}
sefa2( (..). (s.)o8(o.)x&#x ) | 1 0  2 | 0  0  2  0 0 0 1 | * * *  * * 8 * * * * * | 0 1 0 1 0 0  {3}
       (.o)x (..). (..).&#x   | 0 1  2 | 0  0  0  2 1 0 0 | * * *  * * * 8 * * * * | 0 1 0 0 1 0
demi(  (..). (..). (.o)x&#x ) | 0 1  2 | 0  0  0  2 0 1 0 | * * *  * * * * 8 * * * | 0 0 1 0 1 0  below {4}
demi(  (..)x (..). (..)x    ) | 0 0  4 | 0  0  0  0 2 2 0 | * * *  * * * * * 4 * * | 0 0 0 0 1 1  below {4}
other( (..)x (..). (..)x    ) | 0 0  4 | 0  0  0  0 2 0 2 | * * *  * * * * * * 4 * | 0 1 0 0 0 1  below {3}
       (..). (..)o8(..)x      | 0 0  8 | 0  0  0  0 0 4 4 | * * *  * * * * * * * 2 | 0 0 0 1 0 1
------------------------------+--------+------------------+------------------------+------------
       (qo). (sš)o8(oo)x&#x    8 4  0 | 8 16  0  0 0 0 0 | 2 4 8  0 0 0 0 0 0 0 0 | 1 * * * * *
sefa(  (qo)x (sš)o8(oo)x&#x )  2 2  4 | 0  4  4  4 2 0 2 | 0 1 0  4 0 2 2 0 0 1 0 | * 4 * * * *
sefa(  (..). (sš)o8(oo)x&#x )  2 1  2 | 1  2  2  2 0 1 0 | 0 0 1  2 1 0 0 1 0 0 0 | * * 8 * * *
       (..). (s.)o8(o.)x&#x    4 0  8 | 4  0  8  0 0 4 4 | 1 0 0  0 4 4 0 0 0 0 1 | * * * 2 * *
demi(  (.o)x (..). (.o)x&#x )  0 1  4 | 0  0  0  4 2 2 0 | 0 0 0  0 0 0 2 2 1 0 0 | * * * * 4 *
       (..)x (..)o8(..)x       0 0 16 | 0  0  0  0 8 8 8 | 0 0 0  0 0 0 0 0 4 4 2 | * * * * * 1

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