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Tessellations : mathematics, art, and recreation /

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"Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusi...

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Bibliographic Details
Main Author: Fathauer, Robert W. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2021.
Edition:First edition.
Subjects:
Tessellations (Mathematics)
Tesselations.
MATHEMATICS > General.
MATHEMATICS > Applied.
MATHEMATICS > Recreations & Games.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction to Tessellations
  • Geometric Tessellations
  • Symmetry and Transformations in Tessellations
  • Tessellations in Nature
  • Decorative and Utilitarian Tessellations
  • Polyforms and Reptiles
  • Rosettes and Spirals
  • Matching Rules, Aperiodic Tiles, and Substitution Tilings
  • Fractal Tiles and Fractal Tilings
  • Non-Euclidean Tessellations
  • Tips on Designing and Drawing Escheresque Tessellations
  • Special Techniques to Solve Design Problems
  • Escheresque Tessellations Based on Squares
  • Escheresque Tessellations Based on Isosceles Right Triangle and Kite-Shaped Tiles
  • Escheresque Tessellations Based on Equilateral Triangle Tiles
  • Escheresque Tessellations Based on 60°-120° Rhombus Tiles
  • Escheresque Tessellations Based on Hexagonal Tiles
  • Decorating Tiles to Create Knots and Other Designs
  • Tessellation Metamorphoses and Dissections
  • Introduction to Polyhedra
  • Adapting Plane Tessellations to Polyhedra
  • Tessellating the Platonic Solids
  • Tessellating the Archimedean Solids
  • Tessellating Other Polyhedra
  • Tessellating Other Surfaces.