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An ellipsoid is a surface that can be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, an ellipsoid is ...
In video games using procedural world generation, the map seed is a (relatively) short number or text string which is used to procedurally create the game world ("map"). "). This means that while the seed-unique generated map may be many megabytes in size (often generated incrementally and virtually unlimited in potential size), it is possible to reset to the unmodified map, or the unmodified ...
Superellipsoid collection with exponent parameters, created using POV-Ray.Here, e = 2/r, and n = 2/t (equivalently, r = 2/e and t = 2/n). [1]In mathematics, a superellipsoid (or super-ellipsoid) is a solid whose horizontal sections are superellipses (Lamé curves) with the same squareness parameter , and whose vertical sections through the center are superellipses with the squareness parameter .
Oasis is a 2024 video game that attempts to replicate the 2011 sandbox game Minecraft, run entirely using generative artificial intelligence.The project, which began development in 2022 between the AI company Decart and the computer hardware startup Etched, was released by Decart to the public on October 31, 2024.
An alternative parametrization exists that closely follows the angular parametrization of spherical coordinates: [1] = , = , = . Here, > parametrizes the concentric ellipsoids around the origin and [,] and [,] are the usual polar and azimuthal angles of spherical coordinates, respectively.
Solid semi-ellipsoid around z-axis: a, b = the principal semi-axes of the base ellipse c = the principal z-semi-axe from the center of base ellipse Solid paraboloid ...
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In the central-cut ellipsoid method, [1]: 82, 87–94 the cuts are always through the center of the current ellipsoid. The input is a rational number ε >0, a convex body K given by a weak separation oracle , and a number R such that S(0, R ) (the ball of radius R around the origin) contains K .