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°
Face vector	18, 30, 14
Confer	general cupolae: n/d-cu   uniform relative: rothat   general polytopal classes: decomposition
External links

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