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...
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Octahedron (redirect from Triangular antiprism)
the antiprism, a prism like polyhedron in which lateral faces are replaced by alternating equilateral triangles. It is also called trigonal antiprism. Therefore...
36 KB (3,630 words) - 05:40, 5 September 2024
Regular icosahedron (redirect from Icosahedral graph)
pentagonal pyramids with regular faces and a pentagonal antiprism. The dihedral angle of a pentagonal antiprism and pentagonal pyramid between two adjacent triangular...
37 KB (3,867 words) - 04:05, 6 September 2024
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...
4 KB (120 words) - 23:02, 21 April 2024
Truncated icosidodecahedron (redirect from Truncated icosidodecahedral graph)
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...
14 KB (850 words) - 18:49, 29 July 2023
graph formed in a similar way from polyhedra with regular-polygon bases include the antiprism graphs (graphs of antiprisms) and wheel graphs (graphs of...
7 KB (850 words) - 23:14, 7 November 2023
Uniform 4-polytope (redirect from Snub tetrahedral antiprism)
non-Wythoffian uniform convex 4-polytope, known as the grand antiprism, consisting of 20 pentagonal antiprisms forming two perpendicular rings joined by 300 tetrahedra...
134 KB (4,310 words) - 03:16, 24 July 2024
Capped square antiprismatic molecular geometry (redirect from Bicapped square antiprism molecular geometry)
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...
3 KB (353 words) - 20:43, 30 May 2024
Triangular prism (redirect from Crossed triangular antiprism)
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...
18 KB (1,515 words) - 10:24, 3 May 2024
Greedy coloring (category Graph coloring)
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...
32 KB (3,887 words) - 07:10, 14 May 2024
Cube (redirect from Cubical graph)
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...
36 KB (3,917 words) - 23:05, 2 September 2024
Dodecagram (section Complete graph)
uniform polyhedra). Dodecagrammic prism Dodecagrammic antiprism Dodecagrammic crossed-antiprism Dodecagrams can also be incorporated into star tessellations...
6 KB (495 words) - 16:26, 8 March 2024
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...
9 KB (973 words) - 02:52, 26 July 2024
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...
24 KB (3,362 words) - 08:57, 2 January 2024
Dodecahedron (category Individual graphs)
Decagonal prism – 10 squares, 2 decagons, D10h symmetry, order 40. Pentagonal antiprism – 10 equilateral triangles, 2 pentagons, D5d symmetry, order 20 Johnson...
28 KB (2,027 words) - 21:44, 13 August 2024
Tetrahedron (redirect from Tetrahedral graph)
tetrahedron can be seen as a degenerate polyhedron, a uniform digonal antiprism, where base polygons are reduced digons. A regular tetrahedron can be...
75 KB (9,472 words) - 22:56, 26 August 2024
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...
6 KB (688 words) - 22:48, 29 July 2024
incorporate pentagrams: Pentagrammic prism Pentagrammic antiprism Pentagrammic crossed-antiprism Small stellated dodecahedron Great stellated dodecahedron...
35 KB (4,086 words) - 08:25, 21 July 2024
{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...
9 KB (969 words) - 00:57, 4 September 2024
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...
5 KB (206 words) - 01:59, 14 September 2021
pentagonal pyramids, and regular icosahedron constructed from a pentagonal antiprism by attaching two pentagonal pyramids onto its pentagonal bases. Some Johnson...
15 KB (1,489 words) - 10:56, 27 August 2024
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...
46 KB (2,672 words) - 00:45, 19 March 2024
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...
19 KB (1,813 words) - 03:15, 23 August 2024
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...
25 KB (2,926 words) - 04:00, 14 August 2024
Circuit topology (electrical) (section Graph theory)
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...
48 KB (6,621 words) - 03:18, 31 July 2024
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...
10 KB (826 words) - 03:51, 20 April 2024
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...
30 KB (2,669 words) - 23:13, 1 July 2024
Uniform 5-polytope (section Grand antiprism prism)
non-Wythoffian - The grand antiprism prism is the only known non-Wythoffian convex uniform 5-polytope, constructed from two grand antiprisms connected by polyhedral...
92 KB (2,241 words) - 09:19, 26 July 2024
n-polytopes.: 22–25 Apeirogonal tiling Apeirogonal prism Apeirogonal antiprism Teragon, a fractal generalized polygon that also has infinitely many sides...
10 KB (1,037 words) - 18:21, 18 June 2024
square prism. The octahedron is a regular polyhedron, and a triangular antiprism. The octahedron is also a rectified tetrahedron. Many polyhedra are repeated...
66 KB (2,577 words) - 18:13, 5 August 2024