Full Description
This book covers recent achievements on the ever-expanding field of Geometry and Graphics on both analogical and digital fronts, from theoretical investigations to a broad range of applications, new teaching methodologies, and historical aspects. It is from 20th International Conference on Geometry and Graphics (ICGG2022), a series of conference that started in 1978 and promoted by International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching innovations in the multidisciplinary field. The contents of the book are organized in: Theoretical Geometry and Graphics; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, and are intent for the academics, researchers, and professionals in architecture, engineering, industrial design, mathematics, and arts.
Contents
On ISGG's 30th Agenda: Legacy and Challenges.- On the Diagonals of Billiards.- Exploring the Steiner-Soddy Porism.- Circumparabolas in Chapple's porism.- Permutation Cubics.- Beyond the Nine-Point Conic.- Complex Solution of Engineering Problems by Graphic Methods.- Integer Sequences from Circle Divisions by Rational Billiard Trajectories.- Topographic Surfaces as Topological Sets.- Generalizing Continuous Flexible Kokotsakis Belts of the Isogonal Type.- The Intersection Curve of an Ellipsoid with a Torus Sharing the same Center.- Four-Dimensional Visual Exploration of the Complex Number Plane.- Regularity Conditions for Voronoi Diagrams in Hyperbolic Space.- Poncelet and the (Arquimedean) twins.- A Note on Local Intersection Multiplicity of Two Plane Curves.- Locally Flat and Rigidly Foldable Discretizations of Conic Crease Patterns with Reflecting Rule Lines.- Transformations between Developments and Perspectives of Three and Four Dimensional Cubes.- Perfect circles, Amicable Triangles and some of their Properties - Angles Equality and About Two New Constants in the Triangle.- Geometrical Construction of Shape by a Weak-Visual Person in a Physical Medium.- Algebraic Surfaces and their Geometric Bases.- The Wrought Iron Beauty of Poncelet Loci.- Rectification of an Edgy Photograph.- Point Cloud Upsampling via Quadric Fitting.- Viewing Matters.- Geometric Aspects of Modeling Real Conditions of Solar Irradiation of Energy Efficient Architectural Objects.- MPS Simulation for the Japanese Sport Wellness Blowgun.- Conservative Dynamical Systems in Oscillating Origami Tessellations.
