In mathematical analysis, a space-filling curve is a curve whose range reaches every point in a higher dimensional region, typically the unit square (or...
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The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician...
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geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective, continuous...
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Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve and the flowsnake (a spoonerism of snowflake), is a space-filling curve whose...
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remain specific to curves, such as space-filling curves, Jordan curve theorem and Hilbert's sixteenth problem. A topological curve can be specified by...
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Space filling or spacefilling may refer to: Space-filling curve Space-filling model, in chemistry Space-filling polyhedron Space-filling tree Space-filling...
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their limit curve, also called the Sierpiński curve, is an example of a space-filling curve. Because the Sierpiński curve is space-filling, its Hausdorff...
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and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve, Morton order or Morton code map multidimensional data to...
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Stress–strain curve Space-filling curve Contract curve Cost curve Demand curve Aggregate demand curve Compensated demand curve Engel curve Hubbert curve Indifference...
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them from space-filling curves. Osgood curves are named after William Fogg Osgood. A curve in the Euclidean plane is defined to be an Osgood curve when it...
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A Moore curve (after E. H. Moore) is a continuous fractal space-filling curve which is a variant of the Hilbert curve. Precisely, it is the loop version...
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Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted. A...
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com Making a Kock Snowflake, from Khan Academy Area of a Koch Snowflake, from Khan Academy Youtube on space-filling curves Youtube on the Dragon Curve...
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Julia set (redirect from Julia curve)
number. For such an iteration the Julia set is not in general a simple curve, but is a fractal, and for some values of c it can take surprising shapes...
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List of examples in general topology (category Topological spaces)
interval topology Moore plane Sierpiński space Sorgenfrey line Sorgenfrey plane Space-filling curve Topologist's sine curve Trivial topology Unit interval Zariski...
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Menger sponge (redirect from Menger curve)
known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of...
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subdivides space into buckets of grid shape, which is one of the many applications of what is known as a Z-order curve, and generally space-filling curves. Geohashes...
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the space-filling curves, curved lines that twist and turn enough to fill the whole of any square, or cube, or hypercube, or finite-dimensional space. These...
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tiles and out of black ones. As a space-filling curve, the dragon curve has fractal dimension exactly 2. For a dragon curve with initial segment length 1...
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Fibonacci word Space-filling curve Blancmange curve De Rham curve Minkowski Dragon curve Hilbert curve Koch curve Lévy C curve Moore curve Peano curve Sierpiński...
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Hilbert curve scheduling method turns a multidimensional task allocation problem into a one-dimensional space filling problem using Hilbert curves, assigning...
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Koch snowflake (redirect from Von Koch curve)
of Peano's space-filling curve ( = 2 {\displaystyle =2} ). It is impossible to draw a tangent line to any point of the curve. The Koch curve arises as...
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Dimension (redirect from N-dimensional space)
Hyperspace (disambiguation) Intrinsic dimension Multidimensional analysis Space-filling curve Mean dimension Flatland "Curious About Astronomy". Curious.astro...
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very crude measure of the local size of a space (size near a point). A curve that is almost space-filling can still have topological dimension one, even...
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one-dimensional spaces to two-dimensional spaces: Space-filling curves are surjective continuous functions from one-dimensional spaces to two-dimensional spaces. They...
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Bill Gosper (section Space-filling curves)
century examples of space-filling curves—the Koch-Peano curve, Cesàro and Lévy C curve, all special cases of the general de Rham curve—and following the...
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volume. Such fractal antennas are also referred to as multilevel and space filling curves, but the key aspect lies in their repetition of a motif over two...
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law Rectifiable curve Scale-free network Self-similarity Sierpinski carpet Sierpiński curve Sierpinski triangle Space-filling curve T-square (fractal)...
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Peano arithmetic. [citation needed] The Osgood curve is a Jordan curve (unlike most space-filling curves) of positive area. An exotic sphere is homeomorphic...
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these curves, each of which has a dimension D between 1 and 2 (he also mentions but does not give a construction for the space-filling Peano curve, which...
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