**Isometrica: A Geometrical Introduction to Planar Crystallographic Groups**

by George Baloglou

2007**ISBN-13**: 9780979207600**Number of pages**: 473

**Description**:

Donald Crowe's 'repeated patterns', may certainly be viewed as one of the very first mathematical creations of humankind. They are recognized today as the poor relatives of the planar crystallographic groups. This book's goal is therefore the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic. A determined reader can read the entire book relying only on some high school mathematics.

Download or read it online for free here:

**Download link**

(7.3MB, PDF)

## Similar books

**A. N. Whitehead's Geometric Algebra**

by

**Stephen Blake**

This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.

(

**11218**views)

**The Pythagorean Theorem: Crown Jewel of Mathematics**

by

**John C. Sparks**-

**AuthorHouse**

The book chronologically traces the Pythagorean theorem from the beginning, through 4000 years of Pythagorean proofs. The text presents some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the theorem.

(

**11783**views)

**First Principles of Symmetrical Beauty**

by

**David Ramsay Hay**-

**W. Blackwood and sons**

From the table of contents: Nature of the science of aesthetics explained; Plane figures the bases of all forms; The isosceles triangle; Universal application of the composite ellipse in the arts of ornamental design; and more.

(

**8990**views)

**The Foundations of Geometry**

by

**David Hilbert**-

**Project Gutenberg**

Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.

(

**11841**views)