CAD Tools for Creating Space-filing 3D Escher Tiles
نویسندگان
چکیده
منابع مشابه
CAD Tools for Creating Space-filing 3D Escher Tiles
We discuss the design and implementation of CAD tools for creating decorative solids that tile 3-space in a regular, isohedral manner. Starting with the simplest case of extruded 2D tilings, we describe geometric algorithms used for maintaining boundary representations of 3D tiles, including a Java implementation of an interactive constrained Delaunay triangulation library and a mesh-cutting al...
متن کاملCAD Tools for Creating Space-filling 3D Escher Tiles
We discuss the design and implementation of CAD tools for creating decorative solids that tile 3-space in a regular, isohedral manner. Isohedral tilings of the plane, as popularized by M. C. Escher, can be constructed by hand or using existing tools on the web. Specialized CAD tools have also been developed for tiling other 2-manifolds. This work addresses the question: How can we generate inte...
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The role of computers and of computer-aided design tools for the creation of geometrical shapes that will be judged primarily by aesthetic considerations is reviewed. Examples are the procedural generation of abstract geometrical sculpture or the shape optimization of constrained curves and surfaces with some global “cost” functional. Different possibilities for such “beauty functionals” are di...
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Maurits Cornelis Escher (1898-1972) is a famous Dutch artist known – amongst others – for his prints of impossible figures and impossible worlds. Many of his works illustrate mathematical and geometrical concepts such as perspective and limits. Works by Escher have motivated scientists over the years to discover the mathematical foundations of his work, ultimately leading to applications that a...
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ژورنال
عنوان ژورنال: Computer-Aided Design and Applications
سال: 2009
ISSN: 1686-4360
DOI: 10.3722/cadaps.2009.737-748