Acronym tobcu, J27
Name triangular orthobicupola,
vertex figure of gytoh
 
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Circumradius 1
Vertex figure [(3,4)2], [32,42]
Volume 5 sqrt(2)/3 = 2.357023
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {3}:   arccos(-7/9) = 141.057559°
  • between {3} and {4}:   arccos[-1/sqrt(3)] = 125.264390°
  • between {4} and {4}:   arccos(-1/3) = 109.471221°
Face vector 12, 24, 14
Confer
uniform relatives:
co  
related Johnson solids:
tricu   etcu   etobcu  
general polytopal classes:
Johnson solids   bistratic lace towers   ambifications  
External
links
wikipedia   polytopewiki   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxx3oxo&#xt   → both heights = sqrt(2/3) = 0.816497
({3} || pseudo {6} || {3})

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

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