I was a pioneer in digital sculpture using mathematics and stereolithography in 1989.
In a 1991 Graphics Gallery of the Mathematica Journal [1], we demonstrated a system for building Many-Handled Surfaces modeled after chemica
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I was a pioneer in digital sculpture using mathematics and stereolithography in 1989.
In a 1991 Graphics Gallery of the Mathematica Journal [1], we demonstrated a system for building Many-Handled Surfaces modeled after chemica
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3D Polygonal Mesh - 3D Studio
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A polygon mesh is a collection of vertices, edges and faces that defines the shape of a polyhedral object in 3D computer graphics and solid modeling. The faces usually consist of triangles, quadrilaterals or other simple convex polygons, since this simplifies rendering, but may also be composed of more general concave polygons, or polygons with holes.
The study of polygon meshes is a large sub-field of computer graphics and geometric modeling. Different representations of polygon meshes are used for different applications and goals. The variety of operations performed on meshes may include Boolean logic, smoothing, simplification, and many others. Network representations, "streaming" and "progressive" meshes, are used to transmit polygon meshes over a network. Volumetric meshes are distinct from polygon meshes in that they explicitly represent both the surface and volume of a structure, while polygon meshes only explicitly represent the surface (the volume is implicit). As polygonal meshes are extensively used in computer graphics, algorithms also exist for ray tracing, collision detection, and rigid-body dynamics of polygon meshes.