About: Uniform tiling symmetry mutations

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In geometry, a symmetry mutation is a mapping of fundamental domains between two symmetry groups. They are compactly expressed in orbifold notation. These mutations can occur from spherical tilings to Euclidean tilings to hyperbolic tilings. Hyperbolic tilings can also be divided between compact, paracompact and divergent cases. The uniform tilings are the simplest application of these mutations, although more complex patterns can be expressed within a fundamental domain. This article expressed progressive sequences of uniform tilings within symmetry families.

Attributes	Values
rdf:type	software
rdfs:label	Uniform tiling symmetry mutations (en)
rdfs:comment	In geometry, a symmetry mutation is a mapping of fundamental domains between two symmetry groups. They are compactly expressed in orbifold notation. These mutations can occur from spherical tilings to Euclidean tilings to hyperbolic tilings. Hyperbolic tilings can also be divided between compact, paracompact and divergent cases. The uniform tilings are the simplest application of these mutations, although more complex patterns can be expressed within a fundamental domain. This article expressed progressive sequences of uniform tilings within symmetry families. (en)
foaf:depiction
dcterms:subject	Euclidean tilings Hyperbolic tilings Polyhedra
Wikipage page ID	46919643 (xsd:integer)
Wikipage revision ID	964101220 (xsd:integer)
Link from a Wikipage to another Wikipage	Euclidean tiling Euclidean tilings Truncated cube Hyperbolic tilings Geometry Fundamental domain Truncated dodecahedron Truncated hexagonal tiling Truncated tetrahedron Orbifold notation Polyhedra Uniform tiling Order-3 truncated heptagonal tiling Order-3 truncated octagonal tiling Hyperbolic tiling Spherical tiling
Link from a Wikipage to an external page	https://web.archive.org/web/20100919143320/https:/akpeters.com/product.asp%3FProdCode=2205 http://www.crystallography.fr/mathcryst/pdf/Leuven_Hyde_slides.pdf
sameAs	Uniform tiling symmetry mutations Uniform tiling symmetry mutations Uniform tiling symmetry mutations
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thumbnail	wiki-commons:Special:FilePath/Uniform_tiling_332-t01-1-.png?width=300
has abstract	In geometry, a symmetry mutation is a mapping of fundamental domains between two symmetry groups. They are compactly expressed in orbifold notation. These mutations can occur from spherical tilings to Euclidean tilings to hyperbolic tilings. Hyperbolic tilings can also be divided between compact, paracompact and divergent cases. The uniform tilings are the simplest application of these mutations, although more complex patterns can be expressed within a fundamental domain. This article expressed progressive sequences of uniform tilings within symmetry families. (en)
gold:hypernym	Mapping
prov:wasDerivedFrom	wikipedia-en:Uniform_tiling_symmetry_mutations?oldid=964101220&ns=0
page length (characters) of wiki page	4651 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Uniform_tiling_symmetry_mutations
is Link from a Wikipage to another Wikipage of	Overlapping circles grid Mutation of orbifolds
is Wikipage redirect of	Mutation of orbifolds
is foaf:primaryTopic of	wikipedia-en:Uniform_tiling_symmetry_mutations

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