16-cell Honeycomb - Symmetry Constructions

Symmetry Constructions

There are three different symmetry constructions of this tessellation. Each symmetry can be represented by different arrangements of colored 16-cell facets.

Name Coxeter group Schläfli symbol Coxeter-Dynkin diagram Vertex figure
Symmetry
Facets/verf
16-cell honeycomb = {3,3,4,3}
, order 1152
24: 16-cell
4-demicube honeycomb = {31,1,3,4}
= h{4,3,3,4}
=
, order 384
16+8: 16-cell
= {31,1,1,1}
= h{4,3,31,1}
= =
, order 192
8+8+8: 16-cell

Read more about this topic:  16-cell Honeycomb

Famous quotes containing the word symmetry:

    What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial symmetry of their position and movements.
    George Gordon Noel Byron (1788–1824)