Acronym etcu, J18
Name elongated triangular cupola
 
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Vertex figures [(3,4)2], [3,43], [42,6]
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(8/9)) = 160.528779°
  • between {4} and {4} (at tricu,hip-join):   arccos(-sqrt[2/3]) = 144.735610°
  • between {3} and {4} (at tricu lacings):   arccos(-1/sqrt(3)) = 125.264390°
  • between {4} and {4} (at hip lacings):   120°
  • between {4} and {6}:   90°
Confer
uniform relative:
co   hip  
related Johnson solids:
tricu   etobcu   etigybcu  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxx3oxx&#xt   → height(1,2) = sqrt(2/3) = 0.816497
                height(2,3) = 1
({3} || pseudo {6} || {6})

o..3o..    | 3 * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 0
.o.3.o.    | * 6 * | 0 1 1 1 1 0 0 | 0 1 1 1 1 0
..o3..o    | * * 6 | 0 0 0 0 1 1 1 | 0 0 0 1 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    | 0 0 2 | * * * * * * 3 | 0 0 0 0 1 1
-----------+-------+---------------+------------
x..3o..    | 3 0 0 | 3 0 0 0 0 0 0 | 1 * * * * *
xx. ...&#x | 2 2 0 | 1 2 1 0 0 0 0 | * 3 * * * *
... ox.&#x | 1 2 0 | 0 2 0 1 0 0 0 | * * 3 * * *
.xx ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * 3 * *
... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * 3 *
..x3..x    | 0 0 6 | 0 0 0 0 0 3 3 | * * * * * 1

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