| 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 |
|
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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