Acronym hippy, 6pyr Name (degenerate) hexagonal pyramid Circumradius ∞   i.e. flat in euclidean space Vertex figures [36], [3,3,6] Dual (topologically selfdual, in different orientation) Dihedral angles between {3} and {3}:   180° between {3} and {6}:   0° Confer general pyramids: n/d-py   uniform relative: trat   general polytopal classes: decomposition   lace simplices Externallinks

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

ox6oo&#x   → height = 0
(pt || {6})

tip  o.6o.    | 1 * | 6 0 | 6 0
base .o6.o    | * 6 | 1 2 | 2 1
--------------+-----+-----+----
lace oo6oo&#x | 1 1 | 6 * | 2 0
base .x ..    | 0 2 | * 6 | 1 1
--------------+-----+-----+----
coat ox ..&#x | 1 2 | 2 1 | 6 *
base .x6.o    | 0 6 | 0 6 | * 1

ox3ox&#x   → height = 0
(pt || {6})

tip  o.3o.    | 1 * | 6 0 0 | 3 3 0
base .o3.o    | * 6 | 1 1 1 | 1 1 1
--------------+-----+-------+------
lace oo3oo&#x | 1 1 | 6 * * | 1 1 0
base .x ..    | 0 2 | * 3 * | 1 0 1
base .. .x    | 0 2 | * * 3 | 0 1 1
--------------+-----+-------+------
coat ox ..&#x | 1 2 | 2 1 0 | 3 * *
coat ox ..&#x | 1 2 | 2 0 1 | * 3 *
base .x6.o    | 0 6 | 0 3 3 | * * 1