Acronym hicu
Name hexagonal cupola
 
Circumradius ∞   i.e. flat in euclidean space
Vertex figures [3,4,6,4], [3,4,12]
Dihedral angles
  • between {3} and {4}:   180°
  • between {4} and {6}:   180°
  • between {3} and {12}:   0°
  • between {4} and {12}:   0°
Confer
general cupolae:
n/d-cu  
uniform relative:
rothat  
general polytopal classes:
decomposition  

It either can be thought of as a degenerate 3D segmentotope with zero height, or as a 2D euclidean decomposition of the larger base into smaller bits.


Incidence matrix according to Dynkin symbol

xx6ox&#x   → height = 0
({6} || {12})

o.6o.    | 6  * | 2  2 0 0 | 1 2 1 0
.o6.o    | * 12 | 0  1 1 1 | 0 1 1 1
---------+------+----------+--------
x. ..    | 2  0 | 6  * * * | 1 1 0 0
oo6oo&#x | 1  1 | * 12 * * | 0 1 1 0
.x ..    | 0  2 | *  * 6 * | 0 1 0 1
.. .x    | 0  2 | *  * * 6 | 0 0 1 1
---------+------+----------+--------
x.6o.    | 6  0 | 6  0 0 0 | 1 * * *
xx ..&#x | 2  2 | 1  2 1 0 | * 6 * *
.. ox&#x | 1  2 | 0  2 0 1 | * * 6 *
.x6.x    | 0 12 | 0  0 6 6 | * * * 1

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