Tessellations with Stars and Rosettes: Practical Constructions with Interactive Geometry Software

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Toni Sellarès

Tessellations with Stars and Rosettes

Practical Constructions with Interactive Geometry Software

Toni Sellarès

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Paperback

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English

Birkhauser Verlag AG
08 April 2025

Theory of architecture; History of architecture; Geometry; Applied mathematics

Series: Compact Textbooks in Mathematics

The main objective of the book is to teach how to practically construct periodic tessellations with stars and rosettes using an Interactive Geometry Software (IGS).

Stars and rosettes are among the most characteristic geometric ornamental motifs of Islamic art. They are found on walls, ceilings, doors, and windows in both religious and secular buildings. Tessellations are repetitive patterns of shapes that fit together without gaps or overlaps, and they are periodic when they can be constructed by translations of a shape in two different directions. Periodic tessellations with stars and rosettes are complex and symmetrical compositions with rhythmic repetitions of profound beauty. An IGS allows to create and manipulate geometric constructions, producing accurate drawings. The book only assumes knowledge of basic geometric concepts and is self-contained while also providing all the necessary background information.

Tessellations with Stars and Rosettes is aimed at students and graduates of mathematics, design, architecture, artists, and art historians, as well as anyone who wants to draw tessellations of stars and rosettes using IGS. It is suitable for a trimester or a semester course, and can also be used for self-study.

By: Toni Sellarès
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031821622
ISBN 10: 3031821629
Series: Compact Textbooks in Mathematics
Pages: 227
Publication Date: 08 April 2025
Audience: College/higher education , Further / Higher Education , A / AS level
Format: Paperback
Publisher's Status: Active

- 1. Introduction.- 2. Preliminaries.- 3. Regular Stars, rosettes and tessellations with stars and rosettes.- 4. Design of tessellations with stars and rosettes.

Toni Sellarès holds a BS degree in Mathematics from the Universitat de Barcelona, Spain and a PhD degree in Mathematics from the Universitat Politècnica de Catalunya, Barcelona, Spain. He is currently a retired professor of the Department of Computer Science, Applied Mathematics and Statistics at the Universitat de Girona, Spain. He has publications in several journals with research in the area of computational geometry and its application in fields such as computer graphics, geographic information systems, facility location and spatial-temporal data mining.