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Encyclopedia > Snub hexagonal tiling
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Snub hexagonal tiling
Snub hexagonal tiling
Type Semiregular tiling
Faces triangles, hexagons
Edges Infinite
Vertices Infinite
Vertex configuration 3.3.3.3.6
Wythoff symbol | 2 3 6
Symmetry group p6
Dual polyhedron Pentagonal tiling
Properties planar
Snub hexagonal tiling
Vertex Figure

In geometry, the Snub hexagonal tiling is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertex. Jump to: navigation, search Image File history File links Tile33336bc. ... This article needs to be cleaned up to conform to a higher standard of quality. ... A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ... A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. ... The symmetry group of an object (e. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... Jump to: navigation, search Image File history File links Tile33336-dual. ... Something is called planar if it is made up of flat planes, or pertaining to planes. ... // Introduction Geometry (Greek Γεωμετρια, geo = earth, metria = measure ) arose as the field of knowledge dealing with spatial relationships. ... In geometry, a vertex (Latin: whirl, whirlpool; plural vertices) is a corner of a polygon (where two sides meet) or of a polyhedron (where three or more faces and an equal number of edges meet). ...


There are 3 regular and 8 semiregular tilings in the plane. This is the only one of the semiregular tilings which does not have a reflection as a symmetry.


This tiling is topologically related as a part of sequence of polyhedra by replacing the hexagon with a smaller polygon:

  1. Triangle - Icosahedron (snub tetrahedron)
  2. Square - Snub cube
  3. Pentagon - Snub dodecahedron

3.3.3.3.3

3.3.3.3.4

3.3.3.3.5

See also: A triangle is one of the basic shapes of geometry: a two-dimensional figure with three vertices and three sides which are straight line segments. ... An icosahedron [ˌaıkəsəhiːdrən] noun (plural: -drons, -dra [-drə]) is a polyhedron having 20 faces. ... A square as a geometric shape is described and illustrated at square (geometry). ... The snub cube, or snub cuboctahedron, is an Archimedean solid, usually regarded as a truncated polyhedron derived by truncating either a cube or an octahedron. ... In geometry, a pentagon is any five-sided polygon. ... The snub dodecahedron, or snub icosidodecahedron, is an Archimedean solid, usually regarded as a truncated polyhedron derived by truncating either a dodecahedron or an icosahedron. ... Download high resolution version (819x791, 71 KB)Icosahedron, made by me using POV-Ray, see image:poly. ... Download high resolution version (837x817, 96 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ... Download high resolution version (853x866, 121 KB)Somethingahedron, made by me using POV-Ray, see image:poly. ...


  Results from FactBites:
 
PolyGloss (16747 words)
333 The t-truncate, a tiling of a simplex and its polytruncates.
The dual of the xt{;4;3,8,2} is xt{;2;8,3,4}, a tiling of bioctagon prisms, 288 [248] to a vertex.
This is a tiling of the simplex and its polytruncates.
  More results at FactBites »


 

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