Acronym etobcu, J35
Name elongated triangular orthobicupola
 
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Vertex figures [(3,4)2], [3,43]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4} (at tricu,hip-join):   arccos[-sqrt(8)/3] = 160.528779°
  • between {3} and {4} (at tricu lacings):   arccos[-1/sqrt(3)] = 125.264390°
  • between {4} and {4} (at hip lacings):   120°
Face vector 18, 36, 20
Confer
uniform relative:
co   hip  
related Johnson solids:
tricu   etcu   etigybcu  
general polytopal classes:
Johnson solids  
External
links
wikipedia   polytopewiki   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxxx3oxxo&#xt   → height(1,2) = height(3,4) = sqrt(2/3) = 0.816497
                  height(2,3) = 1
({3} || pseudo {6} || pseudo {6} || {3})

o...3o...    | 3 * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
.o..3.o..    | * 6 * * | 0 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0 0 0
..o.3..o.    | * * 6 * | 0 0 0 0 1 1 1 1 0 | 0 0 0 1 1 1 1 0
...o3...o    | * * * 3 | 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 2 1 1
-------------+---------+-------------------+----------------
x... ....    | 2 0 0 0 | 3 * * * * * * * * | 1 1 0 0 0 0 0 0
oo..3oo..&#x | 1 1 0 0 | * 6 * * * * * * * | 0 1 1 0 0 0 0 0
.x.. ....    | 0 2 0 0 | * * 3 * * * * * * | 0 1 0 1 0 0 0 0
.... .x..    | 0 2 0 0 | * * * 3 * * * * * | 0 0 1 0 1 0 0 0
.oo.3.oo.&#x | 0 1 1 0 | * * * * 6 * * * * | 0 0 0 1 1 0 0 0
..x. ....    | 0 0 2 0 | * * * * * 3 * * * | 0 0 0 1 0 1 0 0
.... ..x.    | 0 0 2 0 | * * * * * * 3 * * | 0 0 0 0 1 0 1 0
..oo3..oo&#x | 0 0 1 1 | * * * * * * * 6 * | 0 0 0 0 0 1 1 0
...x ....    | 0 0 0 2 | * * * * * * * * 3 | 0 0 0 0 0 1 0 1
-------------+---------+-------------------+----------------
x...3o...    | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | 1 * * * * * * *
xx.. ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 0 0 | * 3 * * * * * *
.... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 | * * 3 * * * * *
.xx. ....&#x | 0 2 2 0 | 0 0 1 0 2 1 0 0 0 | * * * 3 * * * *
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * 3 * * *
..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 1 0 2 1 | * * * * * 3 * *
.... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * 3 *
...x3...o    | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * 1
or
o...3o...    & | 6  * | 2  2 0 0 0 | 1 2 1 0 0
.o..3.o..    & | * 12 | 0  1 1 1 1 | 0 1 1 1 1
---------------+------+------------+----------
x... ....    & | 2  0 | 6  * * * * | 1 1 0 0 0
oo..3oo..&#x & | 1  1 | * 12 * * * | 0 1 1 0 0
.x.. ....    & | 0  2 | *  * 6 * * | 0 1 0 1 0
.... .x..    & | 0  2 | *  * * 6 * | 0 0 1 0 1
.oo.3.oo.&#x   | 0  2 | *  * * * 6 | 0 0 0 1 1
---------------+------+------------+----------
x...3o...    & | 3  0 | 3  0 0 0 0 | 2 * * * *
xx.. ....&#x & | 2  2 | 1  2 1 0 0 | * 6 * * *
.... ox..&#x & | 1  2 | 0  2 0 1 0 | * * 6 * *
.xx. ....&#x   | 0  4 | 0  0 2 0 2 | * * * 3 *
.... .xx.&#x   | 0  4 | 0  0 0 2 2 | * * * * 3

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