CentralNotice Schlegel diagram From Wikipedia, the free encyclopedia Jump to: navigation , search Examples colored by the number of sides on each face. Yellow triangles , red squares , and green pentagons . A tesseract projected into 3-space as a Schlegel diagram. There are 8 cubic cells visible, one in the center, one below each of the six exterior faces, and the last one is inside-out representing the space outside the cubic boundary. Various visualizations of the icosahedron edit 2D Net Orthogonal Petrie Schlegel Vertex figure In geometry , a Schlegel diagram is a projection of a polytope from into through a point beyond one of its facets or faces . The resulting entity is a polytopal subdivision of the facet in that is combinatorially equivalent to the original polytope. Named for Victor Schlegel , who in 1886 introduced this to...