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osu! Logo since May 2024 Original author(s) Dean Lewis "peppy" Herbert Developer(s) osu! development team Initial release September 16, 2007 ; 17 years ago (2007-09-16) Repository github.com osu Written in C# Middleware OpenTK Operating system Microsoft Windows macOS Linux (open beta) Android (open beta) iOS (open beta) Size osu! lazer 670 MB osu! stable 220MB Available in 37 languages List of ...
The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.
A texture map [5] [6] is an image applied (mapped) to the surface of a shape or polygon. [7] This may be a bitmap image or a procedural texture . They may be stored in common image file formats , referenced by 3D model formats or material definitions , and assembled into resource bundles .
Displacement mapping is an alternative computer graphics technique in contrast to bump, normal, and parallax mapping, using a texture or height map to cause an effect where the actual geometric position of points over the textured surface are displaced, often along the local surface normal, according to the value the texture function evaluates to at each point on the surface. [1]
A degree two map of a sphere onto itself.. In topology, the degree of a continuous mapping between two compact oriented manifolds of the same dimension is a number that represents the number of times that the domain manifold wraps around the range manifold under the mapping.
The Gauss map can be defined for hypersurfaces in R n as a map from a hypersurface to the unit sphere S n − 1 ⊆ R n. For a general oriented k-submanifold of R n the Gauss map can also be defined, and its target space is the oriented Grassmannian ~,, i.e. the set of all oriented k-planes in R n. In this case a point on the submanifold is ...
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