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Solid geometry or stereometry is the geometry of three-dimensional Euclidean space (3D space). [1] A solid figure is the region of 3D space bounded by a two-dimensional closed surface; for example, a solid ball consists of a sphere and its interior. Solid geometry deals with the measurements of volumes of various solids, including pyramids ...
Constructive solid geometry allows a modeler to create a complex surface or object by using Boolean operators to combine simpler objects, [1] potentially generating visually complex objects by combining a few primitive ones. [2][3] In 3D computer graphics and CAD, CSG is often used in procedural modeling. CSG can also be performed on polygonal ...
Solid modeling (or solid modelling) is a consistent set of principles for mathematical and computer modeling of three-dimensional shapes . Solid modeling is distinguished within the broader related areas of geometric modeling and computer graphics , such as 3D modeling , by its emphasis on physical fidelity. [ 1 ]
Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes. The shapes studied in geometric modeling are mostly two- or three- dimensional (solid figures), although many of its tools and principles can be applied to sets of any finite dimension.
The rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron. It is a zonohedron. A face of the rhombic triacontahedron.
Visualization (graphics) Visualization of how a car deforms in an asymmetrical crash using finite element analysis. Visualization (or visualisation (see spelling differences)), also known as Graphics Visualization, is any technique for creating images, diagrams, or animations to communicate a message.
Net (polyhedron) A net of a regular dodecahedron. The eleven nets of a cube. In geometry, a net of a polyhedron is an arrangement of non-overlapping edge -joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron. Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general ...
In 3D computer graphics and solid modeling, a polygon mesh is a collection of vertices, edge s and face s that defines the shape of a polyhedral object. The faces usually consist of triangles ( triangle mesh ), quadrilaterals (quads), or other simple convex polygons ( n-gons ), since this simplifies rendering , but may also be more generally ...
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