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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 ...
Special cases are right triangles (p q 2). Uniform solutions are constructed by a single generator point with 7 positions within the fundamental triangle, the 3 corners, along the 3 edges, and the triangle interior. All vertices exist at the generator, or a reflected copy of it. Edges exist between a generator point and its image across a mirror.
The "DF to Minecraft" utility allows players to view their Dwarf Fortress maps by converting them into Minecraft structures. [70] Adams has acknowledged the role of the community in supporting development and endorsed third-party tools, visualizers and interface code; indeed, he has said that he admires third-party developers who create tools ...
An illustration of M 4, the sponge after four iterations of the construction process. In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) [1] [2] [3] is a fractal curve.
Sphere packing finds practical application in the stacking of cannonballs. In geometry , a sphere packing is an arrangement of non-overlapping spheres within a containing space. The spheres considered are usually all of identical size, and the space is usually three- dimensional Euclidean space .
A generator for the fundamental group is the closed curve obtained by projecting any curve connecting antipodal points in down to . The projective n {\displaystyle n} -space is compact, connected, and has a fundamental group isomorphic to the cyclic group of order 2: its universal covering space is given by the antipody ...
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.
In the example to the right, a sphere is given a checkered texture in two ways. On the left, without UV mapping, the sphere is carved out of three-dimensional checkers tiling Euclidean space. With UV mapping, the checkers tile the two-dimensional UV space, and points on the sphere map to this space according to their latitude and longitude.