Math and Art: Math and Art

Sasho Kalajdzievski

Language: English

Fibonacci numbers Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations Platonic and Archimedean solids about half of which are fully solved Covers Euclidean geometry and art reproductions and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible and fractals to hyperbolic geometry and mathematically relevant topics and topology New to the Second Edition New exercises and topology. For art students cellular automata computer-generated graphics designs each chapter covers a cross section of mathematics fractals from fundamental Euclidean geometry golden section hyperbolic geometry illustrations inversion it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory mainly presented in full color Includes 21 projects and about 280 exercises perspective drawing photographs platonic solids projects and artworks Revised reorganised and expanded chapters More use of color throughout similarities symmetries the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level tilings visually interesting with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures

Publisher: CRC Press

Published: Sep 8, 2021

Description:

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and about 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganised and expanded chapters More use of color throughout