Hemicube (technology Company)
Hemicube can mean: * Hemicube (computer graphics), a concept in 3D computer graphics rendering * Hemicube (geometry), an abstract regular polytope *Demihypercube In geometry, demihypercubes (also called ''n-demicubes'', ''n-hemicubes'', and ''half measure polytopes'') are a class of ''n''-polytopes constructed from alternation of an ''n''-hypercube, labeled as ''hγn'' for being ''half'' of the hype ...

Hemicube (computer Graphics)
In 3D computer graphics rendering, a hemicube is one way to represent a 180° view from a surface or point in space. Shape Although the name implies any half of a cube, a hemicube is usually a cube cut through a plane parallel to one of its faces. Therefore, it consists of one square face, one diamond shape face, two 2:1 aspect ratio rectangles, and two 1:2 aspect ratio rectangles totaling six sides. Uses The hemicube may be used in the Radiosity algorithm or other Light Transport algorithms in order to determine the amount of light arriving at a particular point on a surface. In some cases, a hemicube may be used in environment map In computer graphics, environment mapping, or reflection mapping, is an efficient image-based lighting technique for approximating the appearance of a reflective surface by means of a precomputed texture. The texture is used to store the image of ...ping or reflection mapping. {{DEFAULTSORT:Hemicube (Computer Graphics) 3D computer graphi ...
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Hemicube (geometry)
In abstract geometry, a hemicube is an abstract, regular polyhedron, containing half the faces of a cube. Realization It can be realized as a projective polyhedron (a tessellation of the real projective plane by three quadrilaterals), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected and dividing the hemisphere into three equal parts. It has three square faces, six edges, and four vertices. It has an unexpected property that every face is in contact with every other face on two edges, and every face contains all the vertices, which gives an example of an abstract polytope whose faces are not determined by their vertex sets. From the point of view of graph theory the skeleton is a tetrahedral graph, an embedding of ''K''4 (the complete graph with four vertices) on a projective plane. The hemicube should not be confused with the demicube – the hemicube is a projective polyhedron, while the demic ...
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