Tessellations with Stars and Rosettes

Practical Constructions with Interactive Geometry Software
Erscheinungsjahr 2025
ISBN: 978-3-031-82162-2
Verlag: Springer Nature Switzerland

Buch, Englisch, 227 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 371 g

Reihe: 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.

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Sellarès, Toni

Fachgebiete

• Geisteswissenschaften Architektur Architekturtheorie
• Geisteswissenschaften Architektur Geschichte der Architektur, Baugeschichte
• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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

Über Autor(innen)

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.