edge of polyhedron
111Cycle double cover — Unsolved problems in mathematics Does every bridgeless graph have a multiset of cycles covering every edge exactly twice? …
112Fullerene — Buckminsterfullerene C60 (left) and carbon nanotubes (right) are two examples of structures in the fullerene family …
113Truncated icosahedron — The truncated icosahedron is an Archimedean solid. It comprises 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges. Construction This polyhedron can be constructed from an icosahedron with the 12 vertices truncated… …
114Geodesic dome — Spaceship Earth at Epcot, Walt Disney World, a geodesic sphere A geodesic dome is a spherical or partial spherical shell structure or lattice shell based on a network of great circles (geodesics) on the surface of a sphere. The geodesics… …
115Pentahedron — In geometry, a pentahedron (plural: pentahedra) is a polyhedron with five faces. Since there are no face transitive polyhedra with five sides and there are two distinct topological types, this term is rarely used.With regular polygon faces, the… …
116Schwarz triangle — In geometry, a Schwarz triangle, named after Hermann Schwarz is a spherical triangle that can be used to tile a sphere, possibly overlapping, through reflections in its edges. They were classified in (Schwarz 1873). These can be defined more… …
117Cantellation (geometry) — In geometry, a cantellation is an operation in any dimension that cuts a regular polytope edges and vertices, creating a new facet in place of each edge and vertex. The operation also applies to regular tilings and honeycombs.It is represented by …
118Bipyramid — For Dipyramid, see mountain and Dipyramid (Alaska). Set of bipyramids (Example hexagonal form) Faces 2n triangles Edges 3n Vertices n + 2 …
119Graph theory — In mathematics and computer science, graph theory is the study of graphs : mathematical structures used to model pairwise relations between objects from a certain collection. A graph in this context refers to a collection of vertices or nodes and …
120Rhombic triacontahedron — In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. It is the polyhedral dual of the icosidodecahedron, and it is a zonohedron.The ratio of the long diagonal… …
