Space Tessellations
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| Author | : Werner Van Hoeydonck |
| Publisher | : Birkhäuser |
| Total Pages | : 304 |
| Release | : 2022-03-07 |
| Genre | : Architecture |
| ISBN | : 3035625182 |
Tackling a topic that has particular appeal in the age of digital design, this well-founded introduction to the subject of parquet deformation fills a gap. These subtle, intricate geometric transformations, best known through the "Metamorphosis" series by M. C. Escher, were introduced to design curricula by American professor William S. Huff in the 1960s. The book brings together scholarly articles by the most important authors in the field and material collected in the archives of the Ulm School of Design in Germany, juxtaposed with extensive illustrations of two- and three-dimensional works created at the Vienna University of Technology. Written for anyone interested in the fields of design and geometry, this book aims to inform and inspire.
| Author | : Robert Fathauer |
| Publisher | : CRC Press |
| Total Pages | : 443 |
| Release | : 2020-12-07 |
| Genre | : Mathematics |
| ISBN | : 0429589239 |
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 the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
| Author | : Daniel Hug |
| Publisher | : Springer Nature |
| Total Pages | : 550 |
| Release | : |
| Genre | : |
| ISBN | : 3031541049 |
| Author | : Dominique Jeulin |
| Publisher | : Springer Nature |
| Total Pages | : 919 |
| Release | : 2021-06-01 |
| Genre | : Mathematics |
| ISBN | : 3030754529 |
This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The introduced models concern many physical situations in heterogeneous media, where a probabilistic approach is required, like fracture statistics of materials, scaling up of permeability in porous media, electron microscopy images (including multispectral images), rough surfaces, multi-component composites, biological tissues, textures for image coding and synthesis. The common feature of these random structures is their domain of definition in n dimensions, requiring more general models than standard Stochastic Processes.The main topics of the book cover an introduction to the theory of random sets, random space tessellations, Boolean random sets and functions, space-time random sets and functions (Dead Leaves, Sequential Alternate models, Reaction-Diffusion), prediction of effective properties of random media, and probabilistic fracture theories.
| Author | : Jesper Moller |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 144 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146122652X |
Tessellations are subdivisions of d-dimensional space into non-overlapping "cells". Voronoi tessellations are produced by first considering a set of points (known as nuclei) in d-space, and then defining cells as the set of points which are closest to each nuclei. A random Voronoi tessellation is produced by supposing that the location of each nuclei is determined by some random process. They provide models for many natural phenomena as diverse as the growth of crystals, the territories of animals, the development of regional market areas, and in subjects such as computational geometry and astrophysics. This volume provides an introduction to random Voronoi tessellations by presenting a survey of the main known results and the directions in which research is proceeding. Throughout the volume, mathematical and rigorous proofs are given making this essentially a self-contained account in which no background knowledge of the subject is assumed.
| Author | : José María Montesinos-Amilibia |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 248 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642615724 |
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.
| Author | : Ling Bian |
| Publisher | : Routledge |
| Total Pages | : 260 |
| Release | : 2021-06-22 |
| Genre | : Science |
| ISBN | : 1000404374 |
Smart technologies have advanced rapidly throughout our society (e.g. smart energy, smart health, smart living, smart cities, smart environment, and smart society) and across geographic spaces and places. Behind these "smart" developments are a number of seminal drivers, such as social media (e.g. Twitter), sensors (drones, wearables), smartphone apps, and computing infrastructure (e.g. cloud computing). These developments have captured the enthusiasm of the public, while inevitably present unprecedented challenges and opportunities for the geographic research community. When meeting the smart challenges, are there emerging theories, methods, and observations that reveal new spatial phenomena, produce new knowledge, and foster new policies? Smart Spaces and Places addresses questions such as how to make spaces and places "smart", how the "smartness" affects the way we think spaces and places, and what role geographies play in knowledge production and decision-making in a "smart" era. The collection of 21 chapters offers stimulating discussion over the meaning of spaces, places, and smartness; scientific insights into smartness; social-political views of smartness; and policy implications of smartness. The chapters in this book were originally published as a special issue of Annals of the American Association of Geographers.
| Author | : Stéphane P.A. Bordas |
| Publisher | : Academic Press |
| Total Pages | : 330 |
| Release | : 2021-11-23 |
| Genre | : Science |
| ISBN | : 0323885209 |
Advances in Applied Mechanics, Volume 54 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Advanced geometry representations and tools for microstructural and multiscale modelling, Material Point Method: overview and challenges ahead, From Experimental Modeling of Shotcrete to Numerical Simulations of Tunneling, Mechanics of Hydrogel-Based Bioprinting: From 3D to 4D, and more. - Provides the authority and expertise of leading contributors from an international board of authors - Presents the latest release in the Advances in Applied Mechanics series
| Author | : Eric Gjerde |
| Publisher | : CRC Press |
| Total Pages | : 256 |
| Release | : 2008-12-18 |
| Genre | : Mathematics |
| ISBN | : 1000713156 |
Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.
| Author | : Mircea Vasile Diudea |
| Publisher | : Springer |
| Total Pages | : 451 |
| Release | : 2017-10-20 |
| Genre | : Science |
| ISBN | : 3319641239 |
This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.
