Schlegel diagram

Definitions

A projection of a polytope from n-dimensional space to n-1 dimensions through a point beyond one of its faces; especially such a projection (itself represented in 2 dimensions) of a 3- or 4-dimensional polytope.

Equivalents

Examples

“The location of the point⟳ x₀ can always be chosen so that the edges in the Schlegel diagram can be drawn as non-intersecting straight lines.”

“Schlegel diagrams are a useful way to explore⟳ how these polyhedra can be linked (Hoppe and Köhler 1988).”

“These structures may all be represented on a planar surface by their Schlegel diagrams. A polyhedron Schlegel diagram is its networks of edges and vertices drawn in a special way: if you hold⟳ the polyhedron so close⟳ to your face⟳ that one of faces frames the entire polyhedron and you see⟳ all the other edges meeting inside that frame, then you have⟳ a Schlegel diagram.”

CEFR level