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Tessellations
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. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in t...
Tessellations
Provides an innovative means of continuing learning experiences in geometry, particularly reflections, translations and rotations of one or more figures.
Twists, Tilings, and Tessellations
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.
Design Techniques for Origami Tessellations
Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them. 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. Features: No proofs or formulas in the text and minimal jargon. Suitable for readers with a roughly middle school to high school level of mathematical background. Web application implementing the method described in this book is available, allowing the readers to design their own patterns.
Cool Tessellations: Creative Activities that Make Math & Science Fun for Kids!
Discover secret math and science tricks to creating art! This title introduces young readers to the sciences, with a creative twist. Math and science educational pages are interspersed with cool tessellation activities that offer practical applications of the information students learn in class. All activities include how-to photos, easy instructions, and clear explanations. Reinforce Common Core Standards in reading, math, and science, while making cool art projects, from translational symmetry to Archimedean solids. Aligned to Common Core Standards and correlated to state standards. Checkerboard Library is an imprint of ABDO Publishing Company.
Classical Tessellations and Three-Manifolds
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.
Tessellations Around the World: Appreciate Math in the World Around Us, While Reinforcing Geometry and Problem Solving Skills.
Tessellations are collections of shapes that fit together to cover a surface without gaps or overlaps. They play important roles in the animal world, the behavior of materials, the decorative arts, architecture, and more. Tessellations Around the World contains nearly 100 photographs of tessellations found in nature and in synthetic objects. A line drawing of the tessellation, a map showing its location, and a series of questions accompany 50 of the photographs. In addition to math questions, there is one question for each page relating to geography or culture. The book also contains chapters on tessellation basics, symmetry in tessellations, and tessellations in the real world. The tessella...
Toads and Tessellations
Even for an apprentice magician Enzo is not very good--but when Tessel the shoemaker needs to use a single piece of leather to make twelve sets of shoes, Enzo finds that when magic fails, math may solve the problem.
Spatial Tessellations
Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization. With such versatility, the Voronoi diagram and its relative, the Delaunay triangulation, provide valuable tools for the analysis of spatial data. This is a rapidly growing research area and in this fully updated second edition the authors provide an up-to-date and comprehensive unification of all the previous literature on the subject of Voronoi diagrams. Features: * Expands on the highly acclaimed first edition * Provides an up-to-date and co...
