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A simple tessellation pipeline rendering a smooth sphere from a crude cubic vertex set using a subdivision method. In computer graphics, tessellation is the dividing of datasets of polygons (sometimes called vertex sets) presenting objects in a scene into suitable structures for rendering.
There are 4 symmetry classes of reflection on the sphere, and three in the Euclidean plane. A few of the infinitely many such patterns in the hyperbolic plane are also listed. (Increasing any of the numbers defining a hyperbolic or Euclidean tiling makes another hyperbolic tiling.) Point groups:
Geodesic polyhedra are a good approximation to a sphere for many purposes, and appear in many different contexts. The most well-known may be the geodesic domes, hemispherical architectural structures designed by Buckminster Fuller, which geodesic polyhedra are named after. Geodesic grids used in geodesy also have the geometry of geodesic polyhedra.
In 3D computer graphics, 3D modeling is the process of developing a mathematical coordinate-based representation of a surface of an object (inanimate or living) in three dimensions via specialized software by manipulating edges, vertices, and polygons in a simulated 3D space.
SketchUp is a 3D modeling software that is used to create and manipulate 3D models. It is used in architecture and interior design.. SketchUp is owned by Trimble Inc. The software has a free web-based version, and three paid subscriptions to gain access to applications for Windows and macOS.
A spherical design, part of combinatorial design theory in mathematics, is a finite set of N points on the d-dimensional unit d-sphere S d such that the average value of any polynomial f of degree t or less on the set equals the average value of f on the whole sphere (that is, the integral of f over S d divided by the area or measure of S d).
Art of Illusion provides several types of objects with their specific editing tools for modeling: Primitives (cube, sphere, cylinder), Curve, Tube, Spline mesh, Triangle mesh, Polygon mesh (plugin), Implicit object (plugin), Hologram (plugin).
Today, the mechanics of the drafting task have largely been automated and accelerated through the use of computer-aided design systems (CAD). There are two types of computer-aided design systems used for the production of technical drawings: two dimensions ("2D") and three dimensions ("3D"). An example of a drawing drafted in AutoCAD