Geometric Patterns Generation with Mathematica: Aiming to Create New Islamic Patterns Ver 12 Compatible

by Kenzo Nakamura

This book explains the automatic generation method of geometric patterns, the "Overlapping method", which the author devised with the aim of creating new Islamic patterns, and the coloring method, and explains the Mathematica program to realize them. To that end, we first cover the basics of Mathematica graphics. In addition, 300 kinds of geometric patterns and coloring designs created by Overlapping method are shown, so you can see those. Also, you can download all programs for free.
The table of contents is as follows.

Introduction
Chapter 0: About This Book
0.1 Purpose of this book and Mathematica
0.2 About Mathematica
Chapter 1: Introduction to Graphics Primitives
1.1 A Brief Guide to Mathematica
1.2 Graphics primitive for Point
1.3 The graphics primitive for line
1.4 The graphics primitive for polygon
1.5 The graphics primitives of circle and disk
1.6 Graphic primitives for strings
1.7 How to use colors
1.8 Animation and video file making
1.9 Functions that work directly with the Image command
Chapter 2: Method of creating geometric patterns aimed at creating new Islamic Design
2.1 Circle Overlapping method
2.2 Polygon Overlapping Difference from Circle
2.3 The Arrangement for the Center point of the shape
Similarities and Differences with Traditional Islamic Patterns
Chapter 3: Algorithm of coloring
3.1 Automatic coloring algorithm and programs
3.2 The Bordering of the Tiles
3.3 Using Details on Using ColorScheme
3.4 High-speed Coloring and it's Program
Chapter 4 Geometric Patterns Collection for Creating New Islamic Design
4.0 About Pattern Creation and its Usage
4.1 Square Lattice
4.2 Square-faced Lattice
4.3 Hexagonal Lattice
4.4 The Arrangement of Hexagon Vertices
4.5 Trigonal Lattice
Afterwords
How to Get the Notebook, ets.

226 pages, Kindle Edition

Published February 20, 2023