Projective geometry | Polytopes

Schlegel diagram

In geometry, a Schlegel diagram is a projection of a polytope from into through a point just outside one of its facets. The resulting entity is a of the facet in that, together with the original facet, is combinatorially equivalent to the original polytope. The diagram is named for Victor Schlegel, who in 1886 introduced this tool for studying combinatorial and topological properties of polytopes. In dimension 3, a Schlegel diagram is a projection of a polyhedron into a plane figure; in dimension 4, it is a projection of a 4-polytope to 3-space. As such, Schlegel diagrams are commonly used as a means of visualizing four-dimensional polytopes. (Wikipedia).

Schlegel diagram
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From playlist Mathematics

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Polytope | Net (polyhedron) | Topology | 4-polytope | Dimension | Hyperplane | Facet (geometry) | Combinatorics | Dodecahedron | Tetrahedron | Victor Schlegel | Simplex | Point (geometry) | Polyhedron | 120-cell | Regular Polytopes (book) | Projection (mathematics) | Geometry | Duncan Sommerville | Four-dimensional space