Symmetry and transitive properties of monohedral f-triangulations of the Riemannian sphere

Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f -tilings. We shall also show that each monohedral f -tiling of the Riemannian sphere can be seen, up to a spherical isometry, as the sing...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 25; no. 10; pp. 1609 - 1616
Main Authors Breda, Ana M., Sigarreta, J. M.
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.10.2009
Springer Nature B.V
Subjects
Graphs
Mathematics
Mathematics and Statistics
Studies
Symmetry
20B35
monohedral tiling
graphs
52C20
05A20
52B05
isometric folding
05C69
combinatoric
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Summary:Here we give the complete description of the symmetry group and transitive properties of the set of all of monohedral triangulations of the Riemannian sphere by f -tilings. We shall also show that each monohedral f -tiling of the Riemannian sphere can be seen, up to a spherical isometry, as the singular set of a spherical isometric folding.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-009-7496-x