Acronym gyetcu, J22
Name gyroelongated triangular cupola
 
 © ©
Vertex figures [(3,4)2], [34,4], [33,6]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 15, 33, 20
Confer
uniform relative:
hap  
blend-component:
tricu   hap  
related Johnson solids:
tricu   gyetibcu  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   polytopewiki   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

oxo6sox&#xt   → height(1,2) = sqrt(2/3) = 0.816497
                height(2,3) = sqrt[sqrt(3)-1] = 0.855600
({3} || pseudo {6} || dual {6})

demi( o..6o..    ) | 3 * * * * | 2 1 1 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
demi( .o.6.o.    ) | * 3 * * * | 0 1 0 2 0 1 1 0 0 0 0 | 0 1 1 1 1 1 0 0
demi( .o.6.o.    ) | * * 3 * * | 0 0 1 0 2 0 0 1 1 0 0 | 0 1 1 1 1 0 1 0
demi( ..o6..o    ) | * * * 3 * | 0 0 0 0 0 1 0 1 0 2 0 | 0 0 0 1 0 1 1 1
demi( ..o6..o    ) | * * * * 3 | 0 0 0 0 0 0 1 0 1 0 2 | 0 0 0 0 1 1 1 1
-------------------+-----------+-----------------------+----------------
sefa( o..6s..    ) | 2 0 0 0 0 | 3 * * * * * * * * * * | 1 1 0 0 0 0 0 0
demi( oo.6oo.&#x ) | 1 1 0 0 0 | * 3 * * * * * * * * * | 0 1 1 0 0 0 0 0
demi( oo.6oo.&#x ) | 1 0 1 0 0 | * * 3 * * * * * * * * | 0 1 1 0 0 0 0 0
demi( .x. ...    ) | 0 2 0 0 0 | * * * 3 * * * * * * * | 0 1 0 1 0 0 0 0
demi( .x. ...    ) | 0 0 2 0 0 | * * * * 3 * * * * * * | 0 0 1 0 1 0 0 0
      .oo6.oo&#x   | 0 1 0 1 0 | * * * * * 3 * * * * * | 0 0 0 1 0 0 1 0
      .oo6.oo&#x   | 0 1 0 0 1 | * * * * * * 3 * * * * | 0 0 0 1 0 1 0 0
      .oo6.oo&#x   | 0 0 1 1 0 | * * * * * * * 3 * * * | 0 0 0 0 1 1 0 0
      .oo6.oo&#x   | 0 0 1 0 1 | * * * * * * * * 3 * * | 0 0 0 0 1 0 1 0
demi( ... ..x    ) | 0 0 0 2 0 | * * * * * * * * * 3 * | 0 0 0 0 0 1 0 1
demi( ... ..x    ) | 0 0 0 0 2 | * * * * * * * * * * 3 | 0 0 0 0 0 0 1 1
-------------------+-----------+-----------------------+----------------
      o..6s..      | 3 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * *
sefa( ox.6so.&#x ) | 2 1 1 0 0 | 1 1 1 1 0 0 0 0 0 0 0 | * 3 * * * * * *
demi( ox. ...&#x ) | 1 1 1 0 0 | 0 1 1 0 1 0 0 0 0 0 0 | * * 3 * * * * *
demi( .xo ...&#x ) | 0 1 1 1 0 | 0 0 0 1 0 1 1 0 0 0 0 | * * * 3 * * * *
demi( .xo ...&#x ) | 0 1 1 0 1 | 0 0 0 0 1 0 0 1 1 0 0 | * * * * 3 * * *
demi( ... .ox&#x ) | 0 1 0 1 1 | 0 0 0 0 0 0 1 1 0 1 0 | * * * * * 3 * *
demi( ... .ox&#x ) | 0 0 1 1 1 | 0 0 0 0 0 1 0 0 1 0 1 | * * * * * * 3 *
      ..o6..x      | 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * 1
or
demi( o..6o..    ) | 3 * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0 0 0
      .o.6.o.      | * 6 * * | 0 1 1 1 1 1 0 | 0 1 1 1 1 1 0
demi( ..o6..o    ) | * * 3 * | 0 0 0 0 2 0 2 | 0 0 0 1 0 2 1
demi( ..o6..o    ) | * * * 3 | 0 0 0 0 0 2 2 | 0 0 0 0 1 2 1
-------------------+---------+---------------+--------------
sefa( o..6s..    ) | 2 0 0 0 | 3 * * * * * * | 1 1 0 0 0 0 0
      oo.6oo.&#x   | 1 1 0 0 | * 6 * * * * * | 0 1 1 0 0 0 0
demi( .x. ...    ) | 0 2 0 0 | * * 3 * * * * | 0 1 0 1 0 0 0
demi( .x. ...    ) | 0 2 0 0 | * * * 3 * * * | 0 0 1 0 1 0 0
      .oo6.oo&#x   | 0 1 1 0 | * * * * 6 * * | 0 0 0 1 0 1 0
      .oo6.oo&#x   | 0 1 0 1 | * * * * * 6 * | 0 0 0 0 1 1 0
      ... ..x      | 0 0 1 1 | * * * * * * 6 | 0 0 0 0 0 1 1
-------------------+---------+---------------+--------------
      o..6s..      | 3 0 0 0 | 3 0 0 0 0 0 0 | 1 * * * * * *
sefa( ox.6so.&#x ) | 2 2 0 0 | 1 2 1 0 0 0 0 | * 3 * * * * *
      ox. ...&#x   | 1 2 0 0 | 0 2 0 1 0 0 0 | * * 3 * * * *
demi( .xo ...&#x ) | 0 2 1 0 | 0 0 1 0 2 0 0 | * * * 3 * * *
demi( .xo ...&#x ) | 0 2 0 1 | 0 0 0 1 0 2 0 | * * * * 3 * *
      ... .ox&#x   | 0 1 1 1 | 0 0 0 0 1 1 1 | * * * * * 6 *
      ..o6..x      | 0 0 3 3 | 0 0 0 0 0 0 6 | * * * * * * 1

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