Definitions[edit | edit source]
Abstract polytopes[edit | edit source]
A section of a polytope 𝓟 is the set of elements between two others. A section between elements x and y , written , is
with the induced order from 𝓟.
Every section of a polytope is also a polytope.
Distinguished generators[edit | edit source]
For an polytope with distinguished generators then a section is a polytope generated by where .
Concrete[edit | edit source]
A section of a polytope is a figure of an element. This includes the figures and elements of the original polytope themselves.