Tag: Tessellations

Free Download Classical Tessellations and Three-Manifolds by José María Montesinos-Amilibia
English | PDF | 1987 | 248 Pages | ISBN : 3540152911 | 13.7 MB
This unusual book, richly illustrated with 29 colour illustrations and about 200 line drawings, explores the relationship between classical tessellations and three-manifolds. In his original and entertaining style, the author provides graduate students with a source of geometrical insight into low-dimensional topology. Researchers in this field will find here an account of a theory that is on the one hand known to them but here is "clothed in a different garb" and can be used as a source for seminars on low-dimensional topology, or for preparing independent study projects for students, or again as the basis of a reading course.

Free Download Design Techniques for Origami Tessellations
English | 2024 | ISBN: 1032453842 | 131 Pages | PDF (True) | 65 MB
This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns" (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them.