Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n →...

(the Sierpiński triangle, the Sierpiński carpet, and the Sierpiński curve), as are Sierpiński numbers and the associated Sierpiński problem. Sierpiński was...

The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided...

The Sierpiński carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is a generalization of the Cantor set to two dimensions;...

known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve. It is a three-dimensional generalization of...

Hilbert curve Koch curve Moore curve Murray polygon Sierpiński curve Space-filling tree Spatial index Hilbert R-tree Bx-tree Z-order (curve) (Morton...

B-spline Blancmange curve De Rham curve Dragon curve Koch curve Lévy C curve Sierpiński curve Space-filling curve (Peano curve) See also List of fractals by...

Locality of reference Locality-sensitive hashing Moore curve Murray polygon Sierpiński curve List of fractals by Hausdorff dimension D. Hilbert: Über...

Reuleaux triangle Blancmange curve De Rham curve Dragon curve Koch curve Lévy C curve Peano curve Sierpiński curve Visual Dictionary of Special Plane Curves...

result in the Sierpinski triangle, while creating the proper arrangement with four points and a factor 1/2 will create a display of a "Sierpinski Tetrahedron"...

landmass does not have a well-defined length. This results from the fractal curve-like properties of coastlines; i.e., the fact that a coastline typically...

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...

law Rectifiable curve Scale-free network Self-similarity Sierpinski carpet Sierpiński curve Sierpinski triangle Space-filling curve T-square (fractal)...

Koch snowflake Boundary of the Mandelbrot set Menger sponge Peano curve Sierpiński triangle Weierstrass function The Beauty of Fractals Fractal antenna...

arrowhead curve Sierpinski carpet Sierpiński curve Sierpinski triangle Smith–Volterra–Cantor set T-square Takagi or Blancmange curve Triflake[citation...

topology: Sierpinski triangle Sierpinski carpet Sierpinski curve Sierpinski number Sierpiński cube Sierpiński's constant Sierpiński set Sierpiński game Sierpiński...

Demonstration. Hilbert curve Sierpiński curve z-order (curve) List of fractals by Hausdorff dimension Moore E.H. On certain crinkly curves.– Trans. Amer. Math...

is non-decreasing, and so in particular its graph defines a rectifiable curve. Scheeffer (1884) showed that the arc length of its graph is 2. Note that...

sometimes be done more elegantly via mutually recursive functions; the Sierpiński curve is a good example. Mutual recursion is very common in functional programming...

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...

shortest path shortest spanning tree shuffle shuffle sort sibling Sierpiński curve Sierpinski triangle sieve of Eratosthenes sift up signature Simon's algorithm...

in SQL Kleene–Rosser paradox Open recursion Recursion (in general) Sierpiński curve McCarthy 91 function μ-recursive functions Primitive recursive functions...

interval topology Moore plane Sierpiński space Sorgenfrey line Sorgenfrey plane Space-filling curve Topologist's sine curve Trivial topology Unit interval...

Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which...

boundary of the Vicsek Fractal is a Type 1 quadratic Koch curve. A pentaflake, or sierpinski pentagon, is formed by successive flakes of six regular pentagons...

generalization allows, for example, to produce the Sierpiński arrowhead curve (whose image is the Sierpiński triangle), by using the contraction mappings of...

and Zhang, Tianrong. "On the Fractal Structure of the Boundary of Dragon Curve". Archived from the original on 14 June 2011. Retrieved 9 February 2019...

sponge Sierpiński carpet Sierpiński triangle Apollonian gasket Fibonacci word Space-filling curve Blancmange curve De Rham curve Minkowski Dragon curve Hilbert...

fractal, is a fractal arising from a construction similar to that of the Sierpiński carpet, proposed by Tamás Vicsek. It has applications including as compact...

who found a curve that has positive area in every neighborhood of each of its points, based on an earlier construction of Wacław Sierpiński. Knopp's example...