Schlegel diagram

English right|thumb|A Schlegel diagram of a 120-cell Etymology From en Schlegel a surname + en diagram, after German mathematician Victor Schlegel, who introduced the diagram in 1886. Noun en geometry 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. en 1999 R. B. King 1: Topology in Chemistry D Bonchev; D.H Rouvray Chemical Topology: Introduction and Fundamentals https://books.google.com.au/books?id=HyBFOJUtiroC&pg=PA21&dq=%22Schlegel+diagram%22%7C%22Schlegel+diagrams%22&hl=en&sa=X&ved=0ahUKEwjr-9_k2eDMAhUC4YMKHaABBhwQ6AEIOzAF#v=onepage&q=%22Schlegel%20diagram%22%7C%22Schlegel%20diagrams%22&f=false 21 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. en 2002 Ian David Brown The Chemical Bond in Inorganic Chemistry: The Bond Valence l 150 https://books.google.com.au/books?id=XCkTDAAAQBAJ&pg=PA150&dq=%22Segel+diagram%22%7C%22Schlegel+diagrams%22&hl=en&sa=X&ved=0ahUKEwjr-9_k2eDMAhUC4YMKHaABBhwQ6AEIfDAR#v=onepage&q=%22Schlegel%20diagram%22%7C%22Schlegel%20diagrams%22&f=false Schlegel diagrams are a useful way to explore how these polyhedra can be linked (Hoppe and Köhler 1988). en 2013 Arthur L. Loeb 5: Polyhedra: Surfaces or Solids? Marjorie Senechal Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination https://books.google.com.au/books?id=kZtCAAAAQBAJ&pg=PA69&dq=%22Schlegel+diagram%22%7C%22Schlegel+diagrams%22&hl=en&sa=X&ved=0ahUKEwjr-9_k2eDMAhUC4YMKHaABBhwQ6AEINjAE#v=onepage&q=%22Schlegel%20diagram%22%7C%22Schlegel%20diagrams%22&f=false 69 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. Translations projection of a polytope from n-dimensional space to n-1 dimensions Catalan: ca diagrama de Schlegel French: fr diagramme de Schlegel German: de Schlegeldiagramm Italian: it diagramma di Schlegel m Polish: pl diagram Schlegela m Spanish: es diagrama de Schlegel en eponyms