Global Information Lookup Global Information

Octagonal tiling information


Octagonal tiling
Octagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic regular tiling
Vertex configuration 83
Schläfli symbol {8,3}
t{4,8}
Wythoff symbol 3 | 8 2
2 8 | 4
4 4 4 |
Coxeter diagram

Symmetry group [8,3], (*832)
[8,4], (*842)
[(4,4,4)], (*444)
Dual Order-8 triangular tiling
Properties Vertex-transitive, edge-transitive, face-transitive

In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex. It also has a construction as a truncated order-8 square tiling, t{4,8}.

and 17 Related for: Octagonal tiling information

Request time (Page generated in 0.7847 seconds.)

Octagonal tiling

Last Update:

the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around...

Word Count : 392

Truncated octagonal tiling

Last Update:

In geometry, the truncated octagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangle and two hexakaidecagons on each vertex...

Word Count : 220

Alternated octagonal tiling

Last Update:

In geometry, the tritetragonal tiling or alternated octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of {(4,3,3)}...

Word Count : 309

Heptagonal tiling honeycomb

Last Update:

heptagonal tiling honeycomb or 7,3,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of a heptagonal tiling whose...

Word Count : 469

Cantic octagonal tiling

Last Update:

In geometry, the tritetratrigonal tiling or shieldotritetragonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2(4...

Word Count : 151

Dihedron

Last Update:

called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering...

Word Count : 627

Snub trioctagonal tiling

Last Update:

geometry, the order-3 snub octagonal tiling is a semiregular tiling of the hyperbolic plane. There are four triangles, one octagon on each vertex. It has...

Word Count : 257

Truncated square tiling

Last Update:

the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex. This is...

Word Count : 711

Rhombitrioctagonal tiling

Last Update:

rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one octagon, alternating between...

Word Count : 339

Tessellation

Last Update:

wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...

Word Count : 6042

Circle Limit III

Last Update:

vertices of its dual, the octagonal tiling. Similar tessellations by lines of fish may be constructed for other hyperbolic tilings formed by polygons other...

Word Count : 1174

Truncated trioctagonal tiling

Last Update:

In geometry, the truncated trioctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one hexagon, and one hexadecagon...

Word Count : 441

Octagonal prism

Last Update:

the octagonal prism is a prism comprising eight rectangular sides joining two regular octagon caps. The octagonal prism can also be seen as a tiling on...

Word Count : 79

Trioctagonal tiling

Last Update:

tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 octagonal tiling. There are two triangles and two octagons alternating...

Word Count : 228

Truncated tetraoctagonal tiling

Last Update:

the truncated tetraoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one octagon, and one hexakaidecagon on each...

Word Count : 330

Truncated hexaoctagonal tiling

Last Update:

In geometry, the truncated hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one dodecagon, and one hexakaidecagon...

Word Count : 308

Rhombitetraoctagonal tiling

Last Update:

tiling, r{8,4}, as well as an expanded order-4 octagonal tiling or expanded order-8 square tiling. There are two uniform constructions of this tiling...

Word Count : 288

PDF Search Engine © AllGlobal.net