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Philosophical Geometry: Finding Math in Art and Nature
Philosophical Geometry: Finding Math in Art and Nature
This book is an open educational resource that was written with the support of a sabbatical grant from Columbia College Chicago. I am working with a publishing partner to help with distribution and make printing more feasible, but the book will remain free and open source. Please contact me with any questions.
Under this license you are free to:
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
Under the following terms:
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
NonCommercial — You may not use the material for commercial purposes.
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Table of Contents
1. Introduction
2. Philosophical Geometry: Reimagining your Landscape
3. Geometry: Primitives and Constructions
4. Symmetry and the Golden Ratio
5. The Mathematics of Spirals
6. Fractals
7. Tiling and Tessellation
8. Reasoning with Large Numbers
9. Randomness and Distributions
Appendices
A. The Greek alphabet
B. Right triangle algebra
C. Degrees and radians
D. Polar coordinates
E. Logarithms
F. Counting
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