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;...
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Menger sponge (redirect from Menger-Sierpiński sponge)
generalization of the one-dimensional Cantor set and two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of...
14 KB (1,812 words) - 16:19, 1 June 2024
(the Sierpiński triangle, the Sierpiński carpet, and the Sierpiński curve), as are Sierpiński numbers and the associated Sierpiński problem. Sierpiński enrolled...
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The Sierpiński triangle (sometimes spelled Sierpinski), also called the Sierpiński gasket or Sierpiński sieve, is a fractal attractive fixed set with...
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Chaos game (redirect from Sierpiński game)
towards the midpoints of the four sides, the chaos game generates the Sierpinski carpet: With minor modifications to the game rules, it is possible to use...
13 KB (1,580 words) - 18:18, 14 December 2023
is a fractal arising from a construction similar to that of the Sierpiński carpet, proposed by Tamás Vicsek. It has applications including as compact...
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a decade later in 1915, when Wacław Sierpiński constructed his famous triangle then, one year later, his carpet. By 1918, two French mathematicians,...
74 KB (8,030 words) - 17:29, 11 June 2024
the Menger sponge (mistakenly known as Sierpinski's sponge), a three-dimensional version of the Sierpiński carpet. It is also related to the Cantor set...
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system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...
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a Koch snowflake or a Sierpinski triangle, "both based on recursively drawing equilateral triangles and the Sierpinski carpet." The T-square fractal...
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For instance, the Sierpinski carpet is formed in this way from a rep-tiling of a square into 27 smaller squares, and the Sierpinski triangle is formed...
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Rectifiable curve Scale-free network Self-similarity Sierpinski carpet Sierpiński curve Sierpinski triangle Space-filling curve T-square (fractal) Topological...
1 KB (144 words) - 23:06, 12 December 2019
dust Cantor space Koch snowflake Menger sponge Mosely snowflake Sierpiński carpet Sierpiński triangle Smith–Volterra–Cantor set, also called the fat Cantor...
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technique for building self-similar sets, including the Cantor set and the Sierpinski triangle. The viable system model of Stafford Beer is an organizational...
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on counting and equidistribution for Apollonian circle packings, Sierpinski carpets and Schottky dances. She is currently the Abraham Robinson Professor...
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same sense that the Sierpiński pyramid and Menger sponge can be considered extensions of the Sierpinski triangle and Sierpinski carpet. The version of the...
22 KB (2,535 words) - 16:11, 18 April 2024
Peano curve with the middle line erased creates a Sierpinski carpet...
5 KB (593 words) - 22:19, 15 December 2022
snowflake, Cantor set, Sierpinski carpet and Menger sponge, in the number of elements in the construction steps for a Sierpinski triangle, and in many...
9 KB (894 words) - 21:32, 8 April 2024
system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...
37 KB (5,692 words) - 17:40, 13 April 2024
system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...
16 KB (1,827 words) - 05:37, 29 August 2023
of topologies – List of concrete topologies and topological spaces Sierpinski carpet – Plane fractal built from squaresPages displaying short descriptions...
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1.5850 Sierpinski triangle Also the limiting shape of Pascal's triangle modulo 2. log 2 ( 3 ) {\displaystyle \log _{2}(3)} 1.5850 Sierpiński arrowhead...
52 KB (1,139 words) - 23:59, 8 January 2024
Pythagoras tree Rauzy fractal Rössler attractor Sierpiński arrowhead curve Sierpinski carpet Sierpiński curve Sierpinski triangle Smith–Volterra–Cantor set T-square...
47 KB (3,577 words) - 21:10, 27 May 2024
neither arcwise connected nor locally connected. The Sierpinski carpet, also known as the Sierpinski universal curve, is a one-dimensional planar Peano...
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has zero measure. A different 2D analogue of the Cantor set is the Sierpinski carpet, where a square is divided up into nine smaller squares, and the middle...
45 KB (6,916 words) - 19:55, 12 May 2024
Bieberbach conjecture. Wacław Sierpiński gives the first example of an absolutely normal number and describes the Sierpinski carpet. 1 January – The British...
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theory, theory of functions and topology; Sierpiński triangle, Sierpiński carpet, Sierpiński curve, Sierpiński number. Wiktor Kemula, Polish chemist. He...
123 KB (12,223 words) - 06:19, 27 April 2024
examples of polynomials whose Julia sets are homeomorphic to the Sierpiński carpet and which are disconnected. She contributed to other areas of complex...
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Quaternionic fractal - three dimensional complex quadratic map Sierpinski carpet Sierpinski triangle Chaos from Euler Solution of ODEs On the dynamics of...
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Robert L. Devaney: Rabbits, Basilicas, and Other Julia Sets Wrapped in Sierpinski Carpets". Archived from the original on 2019-10-23. Retrieved 2020-04-07....
14 KB (1,879 words) - 08:37, 14 February 2024