Tilings and Patterns
by E O Harriss
Publisher: Mathematicians.org.uk 2008
Number of pages: 43
Contents: Background Material (Euclidean Space, Delone Sets, Z-modules and lattices); Tilings of the plane (Periodic, Aperiodic, Penrose Tilings, Substitution Rules and Tiling, Matching Rules); Symbolic and Geometric tilings of the line (Combinatorics of Words, Letter substitution rules, Canonical Projection Tilings and Sturmian Sequences).
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by Anton Petrunin
This book is meant to be rigorous, elementary and minimalist. At the same time it includes about the maximum what students can absorb in one semester. It covers Euclidean geometry, Inversive geometry, Non-Euclidean geometry and Additional topics.
by John C. Polking - Rice University
We are interested here in the geometry of an ordinary sphere. In plane geometry we study points, lines, triangles, polygons, etc. On the sphere there are no straight lines. Therefore it is natural to use great circles as replacements for lines.
by Jozsef Sandor - American Research Press
Contents: on Smarandache's Podaire theorem, Diophantine equation, the least common multiple of the first positive integers, limits related to prime numbers, a generalized bisector theorem, values of arithmetical functions and factorials, and more.
by Conway, Doyle, Thurston - Rutgers University, Newark
These are notes from an experimental mathematics course entitled Geometry and the Imagination as developed by Conway, Doyle, Thurston and others. The course aims to convey the richness, diversity, connectedness, depth and pleasure of mathematics.