**Tilings and Patterns**

by E O Harriss

**Publisher**: Mathematicians.org.uk 2008**Number of pages**: 43

**Description**:

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).

Download or read it online for free here:

**Download link**

(7.2MB, PDF)

## Similar books

**An Elementary Course in Synthetic Projective Geometry**

by

**Derrick Norman Lehmer**-

**Project Gutenberg**

The book gives, in a simple way, the essentials of synthetic projective geometry. Enough examples have been provided to give the student a clear grasp of the theory. The student should have a thorough grounding in ordinary elementary geometry.

(

**8113**views)

**The Axiomatic Method**

by

**L. Henkin, P. Suppes, A. Tarski**-

**North Holland Publishing Company**

The volume naturally divides into three parts. Part I consists of 14 papers on the foundations of geometry, Part II of 14 papers on the foundations of physics, and Part III of five papers on general problems and applications of the axiomatic method.

(

**4480**views)

**The Geometry of the Sphere**

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.

(

**6697**views)

**Fundamentals of Geometry**

by

**Oleg A. Belyaev**-

**Moscow State University**

A continually updated book devoted to rigorous axiomatic exposition of the basic concepts of geometry. Self-contained comprehensive treatment with detailed proofs should make this book both accessible and useful to a wide audience of geometry lovers.

(

**16814**views)