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A Minecraft mod is a mod that changes aspects of the sandbox game Minecraft. Minecraft mods can add additional content to the game, make tweaks to specific features, and optimize performance. Thousands of mods for the game have been created, with some mods even generating an income for their authors.
A circle of radius 23 drawn by the Bresenham algorithm. In computer graphics, the midpoint circle algorithm is an algorithm used to determine the points needed for rasterizing a circle. It is a generalization of Bresenham's line algorithm. The algorithm can be further generalized to conic sections. [1] [2] [3]
One can say even more. The circle is a 1-dimensional real manifold, and multiplication and inversion are real-analytic maps on the circle. This gives the circle group the structure of a one-parameter group, an instance of a Lie group. In fact, up to isomorphism, it is the unique 1-dimensional compact, connected Lie group.
Circle packings were studied as early as 1910, in the work of Arnold Emch on Doyle spirals in phyllotaxis (the mathematics of plant growth). [20] The circle packing theorem was first proved by Paul Koebe. [17] William Thurston [1] rediscovered the circle packing theorem, and noted that it followed from the work of E. M. Andreev. Thurston also ...
A crop circle, crop formation, or corn circle is a pattern created by flattening a crop, [1] usually a cereal. The term was first coined in the early 1980s. [ 2 ] Crop circles have been described as all falling "within the range of the sort of thing done in hoaxes " by Taner Edis , professor of physics at Truman State University .
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