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...
15 KB (1,957 words) - 01:18, 7 August 2024
The Hilbert curve (also known as the Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician...
11 KB (1,236 words) - 10:14, 25 September 2024
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...
6 KB (681 words) - 21:30, 23 October 2024
remain specific to curves, such as space-filling curves, Jordan curve theorem and Hilbert's sixteenth problem. A topological curve can be specified by...
25 KB (3,648 words) - 15:32, 30 October 2024
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...
3 KB (330 words) - 17:23, 30 September 2024
Space filling or spacefilling may refer to: Space-filling curve Space-filling model, in chemistry Space-filling polyhedron Space-filling tree Space-filling...
230 bytes (59 words) - 05:37, 22 February 2020
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...
10 KB (1,165 words) - 18:42, 28 September 2024
and computer science, functions which are Z-order, Lebesgue curve, Morton space-filling curve, Morton order or Morton code map multidimensional data to...
20 KB (2,583 words) - 08:14, 2 September 2024
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...
6 KB (636 words) - 07:14, 27 September 2024
Stress–strain curve Space-filling curve Contract curve Cost curve Demand curve Aggregate demand curve Compensated demand curve Engel curve Hubbert curve Indifference...
7 KB (528 words) - 02:32, 24 July 2024
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...
3 KB (345 words) - 05:57, 13 October 2022
Space-filling trees are geometric constructions that are analogous to space-filling curves, but have a branching, tree-like structure and are rooted. A...
7 KB (879 words) - 19:16, 20 April 2024
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...
5 KB (381 words) - 22:38, 22 June 2024
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...
37 KB (5,693 words) - 20:51, 16 November 2024
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...
1 KB (102 words) - 14:14, 5 April 2022
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...
15 KB (1,826 words) - 17:53, 10 October 2024
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...
26 KB (2,685 words) - 13:44, 12 November 2024
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...
54 KB (6,107 words) - 15:45, 11 November 2024
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...
11 KB (1,569 words) - 20:20, 24 September 2024
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...
14 KB (1,725 words) - 15:08, 26 July 2024
Hilbert curve scheduling method turns a multidimensional task allocation problem into a one-dimensional space filling problem using Hilbert curves, assigning...
1 KB (123 words) - 18:40, 13 February 2024
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...
23 KB (2,668 words) - 14:07, 8 November 2024
Dimension (redirect from N-dimensional space)
Hyperspace (disambiguation) Intrinsic dimension Multidimensional analysis Space-filling curve Mean dimension Flatland "Curious About Astronomy". Curious.astro...
34 KB (3,918 words) - 15:21, 23 October 2024
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...
24 KB (3,145 words) - 11:24, 9 October 2024
one-dimensional spaces to two-dimensional spaces: Space-filling curves are surjective continuous functions from one-dimensional spaces to two-dimensional spaces. They...
5 KB (578 words) - 18:49, 27 June 2023
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...
7 KB (625 words) - 15:15, 11 November 2024
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...
15 KB (1,714 words) - 16:32, 16 August 2024
law Rectifiable curve Scale-free network Self-similarity Sierpinski carpet Sierpiński curve Sierpinski triangle Space-filling curve T-square (fractal)...
1 KB (144 words) - 15:51, 20 July 2024
Peano arithmetic. [citation needed] The Osgood curve is a Jordan curve (unlike most space-filling curves) of positive area. An exotic sphere is homeomorphic...
19 KB (2,386 words) - 14:04, 2 November 2024
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...
25 KB (2,897 words) - 16:11, 3 November 2024