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NSF grants # DMS-9619714. Tilings, Hyperbolic Geometry and Computational Group Theory. A tiling of a Riemann surface. Is a covering by polygons, without gaps or overlaps, of a two-dimensional surface. The two tilings pictured above are the icosahedral (2,3,5)-tiling of the sphere and the (3,3,3)-tiling of the torus. (An (l,m,n) -. Triangle has degree angles of 180. Thus the edges of the tiling will follow the the curved lines of hyperbolic geometry and the angle sum of the geometry will satisfy:. The Ros...

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tilings.org -- home page | tilings.org Reviews
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NSF grants # DMS-9619714. Tilings, Hyperbolic Geometry and Computational Group Theory. A tiling of a Riemann surface. Is a covering by polygons, without gaps or overlaps, of a two-dimensional surface. The two tilings pictured above are the icosahedral (2,3,5)-tiling of the sphere and the (3,3,3)-tiling of the torus. (An (l,m,n) -. Triangle has degree angles of 180. Thus the edges of the tiling will follow the the curved lines of hyperbolic geometry and the angle sum of the geometry will satisfy:. The Ros...
<META>
KEYWORDS
1 tilings org
2 research projects website
3 overview
4 project descriptions
5 nsf support
6 divisible tilings
7 oval intersection problems
8 separability of symmetries
9 tilings and cwatsets
10 problem description
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tilings org,research projects website,overview,project descriptions,nsf support,divisible tilings,oval intersection problems,separability of symmetries,tilings and cwatsets,problem description,contributors,progress,reports and papers,link to paper,images
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tilings.org -- home page | tilings.org Reviews

https://tilings.org

NSF grants # DMS-9619714. Tilings, Hyperbolic Geometry and Computational Group Theory. A tiling of a Riemann surface. Is a covering by polygons, without gaps or overlaps, of a two-dimensional surface. The two tilings pictured above are the icosahedral (2,3,5)-tiling of the sphere and the (3,3,3)-tiling of the torus. (An (l,m,n) -. Triangle has degree angles of 180. Thus the edges of the tiling will follow the the curved lines of hyperbolic geometry and the angle sum of the geometry will satisfy:. The Ros...

INTERNAL PAGES

tilings.org tilings.org
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tilings.org -- images page

http://www.tilings.org/images.html

NSF grants # DMS-9619714. Surfaces and tiled surfaces. Icosahedral tiling of sphere. 2,4,4) tiling on a torus. 3,3,3) tiling on a torus. 2,4,5)- tiling of the hyperbolic plane. 2,5,5)- tiling of the hyperbolic plane. 3,5,5)- tiling of the hyperbolic plane. 4,3,3)- tiling of the hyperbolic plane. Eight cases of tilings of triangles. There are six infinite families and two exceptional cases. Twenty seven tilings of quadrilaterals by triangles without free vertices. There are no families.

2

tilings.org -- publications

http://www.tilings.org/publications.html

NSF grants # DMS-9619714. Kaleidoscopic Tilings on Surfaces,. On hyperbolic geometry and tilings. Of students who have worked on tiling problems, classified by the year in which the work was done,. Submitted and published papers. By students (and perhaps faculty) in. And technical reports,. On tilings and the Rose-Hulman REU. The Background Notes entitled. Kaleidoscopic Tilings on Surfaces. Front matter and introductory chapter. Introduction to tilings and tiling groups. Background on hyperbolic geometry.

3

tilings.org -- archives page

http://www.tilings.org/archives.html

NSF grants # DMS-9619714. Are standard. All files except Matlab data files, are simple text files. A library script or function library file is a package of related functions readable by the appropriate application, say Maple or Magma. Jump and Information Table. Geodesics, length spectrum and billiards. Separability of symmetries - graphs. Create tilings with Matlab). Maple scripts and Maple library scripts. Magma scripts and library scripts. Act bdat .dat .rez. Various data files (text). Function libra...

4

tilings.org -- links page

http://www.tilings.org/links.html

NSF grants # DMS-9619714. Rose-Hulman NSF REU WebSite. Rose-Hulman Institute of Technology Undergraduate Mathematics Journal. Rose-Hulman Undergraduate Mathematics Conference. Rose-Hulman Mathematical Sciences Technical Report series. Geometry and other Mathematics Sites. University of Minnesota Geometry Center. ATLAS of Finite Group Representations. Mathematics on the Web. Send questions and comments to: allen.broughton@rose-hulman.edu. Last modified December 26, 2002.

5

tilings.org -- contributors

http://www.tilings.org/contributors.html

NSF grants # DMS-9619714. Divisible Tilings on Surfaces. Youngstown State U.(OH). Bucknell U. (PA). Divisible Tilings on Surfaces. U of Akron (OH). Tufts U. (MA). Mount Holyoke College (MA). Monodromy of Unbranched Covers. U of Rochester (NY). Princeton U. (NJ). Purdue U at Calumet (IN). University of Missouri - Rolla. Separability of Cyclic Tilings. Pacific Lutheran University (WA). Separability of Cyclic Tilings. Separability of Cyclic Tilings. Wake Forest U. (SC). Robert M. Dirks. Brandy M. Smith.

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In rhombs, and wedges, and half-moons, and wings. The tilings encyclopedia, developed by E. Harriss. And D Frettlöh. Aims to become a useful reference for things tiling related. The first goal is to give a database of known substitution rules. We welcome all feedback. For the complete list. Here is a brief taste of the riches:. Watanabe Ito Soma 8-fold. The contents of this site are licensed under a Creative Commons License.

tilings.org tilings.org

tilings.org -- home page

NSF grants # DMS-9619714. Tilings, Hyperbolic Geometry and Computational Group Theory. A tiling of a Riemann surface. Is a covering by polygons, without gaps or overlaps, of a two-dimensional surface. The two tilings pictured above are the icosahedral (2,3,5)-tiling of the sphere and the (3,3,3)-tiling of the torus. (An (l,m,n) -. Triangle has degree angles of 180. Thus the edges of the tiling will follow the the curved lines of hyperbolic geometry and the angle sum of the geometry will satisfy:. The Ros...

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A collection of resources relating to the mathematics and art of tilings maintained by Edmund Harriss. How do shapes fill space? Royal Society Summer Science Exhibition 2009). Combinatorial and Computational aspects of Tilings. Page maintained by Edmund Harriss. Last modified: 31 May 2009.

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