- space-filling curve
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a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)See Also: Peano curve
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space-filling curve
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Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) … Wikipedia
Curve — For other uses, see Curve (disambiguation). A parabola, a simple example of a curve In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight.… … Wikipedia
Hilbert curve — A Hilbert curve (also known as a Hilbert space filling curve) is a continuous fractal space filling curve first described by the German mathematician David Hilbert in 1891. [D. Hilbert: Über die stetige Abbildung einer Linie auf ein Flächenstück … Wikipedia
Sierpiński curve — Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n ightarrow infty completely fill the unit square: thus their limit curve, also called the… … Wikipedia
Moore curve — 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 of the Hilbert curve, and it may be thought as the union of four copies of the Hilbert curves … Wikipedia
Osgood curve — In mathematics, an Osgood curve is a Jordan curve of positive area. The first example was found by Osgood (1903). Examples of Osgood curves can be produced by slightly modifying one of the constructions of space filling curves with image the unit … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Dragon curve — A dragon curve is any member of a family of self similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems. Contents 1 Heighway dragon 1.1 Construction … Wikipedia
Z-order curve — Not to be confused with Z curve or Z order. Four iterations of the Z order curve … Wikipedia
Z-order (curve) — Z order, or Morton order, first proposed in 1966 by G. M. Morton, [citation|first=G. M.|last=Morton|title=A computer Oriented Geodetic Data Base; and a New Technique in File Sequencing|series=Technical Report|publisher=IBM Ltd.|location=Ottawa,… … Wikipedia
