mathematical field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices and...

the antiprism, a prism like polyhedron in which lateral faces are replaced by alternating equilateral triangles. It is also called trigonal antiprism. Therefore...

pentagonal pyramids with regular faces and a pentagonal antiprism. The dihedral angle of a pentagonal antiprism and pentagonal pyramid between two adjacent triangular...

3-vertex-connected planar graphs), and also Hamiltonian graphs. Along with the 13, the set of infinite prism graphs and antiprism graphs can also be considered...

are not prisms or antiprisms, it has the largest sum of angles (90 + 120 + 144 = 354 degrees) at each vertex; only a prism or antiprism with more than 60...

graph formed in a similar way from polyhedra with regular-polygon bases include the antiprism graphs (graphs of antiprisms) and wheel graphs (graphs of...

non-Wythoffian uniform convex 4-polytope, known as the grand antiprism, consisting of 20 pentagonal antiprisms forming two perpendicular rings joined by 300 tetrahedra...

with a square antiprism connected to the square base. In this respect, it can be seen as a "capped" square antiprism (a square antiprism with a pyramid...

The triangular prism can be represented as the prism graph Π3. More generally, the prism graph Πn represents the n-sided prism. Beyond the triangular...

orderings leads to a non-optimal coloring, and the square antiprism is the smallest graph that cannot be optimally colored using any of its degeneracy...

ways, one of which is the graph known as the cubical graph. It can be constructed by using the Cartesian product of graphs. The cube was discovered in...

uniform polyhedra). Dodecagrammic prism Dodecagrammic antiprism Dodecagrammic crossed-antiprism Dodecagrams can also be incorporated into star tessellations...

polyhedron with 16 triangular faces. it can be constructed from a square antiprism by attaching two equilateral square pyramids to each of its square faces...

In graph theory, a locally linear graph is an undirected graph in which every edge belongs to exactly one triangle. Equivalently, for each vertex of the...

Decagonal prism – 10 squares, 2 decagons, D10h symmetry, order 40. Pentagonal antiprism – 10 equilateral triangles, 2 pentagons, D5d symmetry, order 20 Johnson...

tetrahedron can be seen as a degenerate polyhedron, a uniform digonal antiprism, where base polygons are reduced digons. A regular tetrahedron can be...

other polytopes; for example, a regular tetrahedron can be seen as an antiprism formed of such a digon. It can be derived from the alternation of a square...

incorporate pentagrams: Pentagrammic prism Pentagrammic antiprism Pentagrammic crossed-antiprism Small stellated dodecahedron Great stellated dodecahedron...

{7/2} {7/3} {7}+{7/2}+{7/3} 7-2 prism 7-3 prism Complete graph 7-2 antiprism 7-3 antiprism 7-4 antiprism...

rhombic dodecahedron. The joined triangular prism is the Herschel graph. Rectified antiprism Conway Notation for Polyhedra Try: aPn and jPn, where n=3,4,5...

pentagonal pyramids, and regular icosahedron constructed from a pentagonal antiprism by attaching two pentagonal pyramids onto its pentagonal bases. Some Johnson...

Triangular antiprism: A3 (An octahedron is a special antiprism) O = A3 C = dA3 Square prism: P4 (A cube is a special prism) C = P4 Pentagonal antiprism: A5 I...

a Johnson solid is not a Platonic solid, Archimedean solid, prism, or antiprism. A convex polyhedron in which all faces are nearly regular, but some are...

polar dual can be used to form two opposite faces of a four-dimensional antiprism. A midsphere of a three-dimensional convex polyhedron is defined to be...

ladder topology can be viewed as being the graph of the side of a prism of arbitrary order. The side of an antiprism forms a topology which, in this sense...

vertices. The 10 interior vertices have the convex hull of a pentagonal antiprism. The 80 edges project into 40 external edges and 40 internal ones. The...

edges of a triangular antiprism with the same D3d, [2+,6] symmetry, order 12. The cube and octahedron (same as triangular antiprism) have regular skew hexagons...

non-Wythoffian - The grand antiprism prism is the only known non-Wythoffian convex uniform 5-polytope, constructed from two grand antiprisms connected by polyhedral...

n-polytopes.: 22–25  Apeirogonal tiling Apeirogonal prism Apeirogonal antiprism Teragon, a fractal generalized polygon that also has infinitely many sides...

square prism. The octahedron is a regular polyhedron, and a triangular antiprism. The octahedron is also a rectified tetrahedron. Many polyhedra are repeated...