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;...

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

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...

The Sierpiński triangle (sometimes spelled Sierpinski), also called the Sierpiński gasket or Sierpiński sieve, is a fractal attractive fixed set with...

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...

a decade later in 1915, when Wacław Sierpiński constructed his famous triangle then, one year later, his carpet. By 1918, two French mathematicians,...

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

system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...

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...

a Koch snowflake or a Sierpinski triangle, "both based on recursively drawing equilateral triangles and the Sierpinski carpet." The T-square fractal...

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...

dust Cantor space Koch snowflake Menger sponge Mosely snowflake Sierpiński carpet Sierpiński triangle Smith–Volterra–Cantor set, also called the fat Cantor...

technique for building self-similar sets, including the Cantor set and the Sierpinski triangle. The viable system model of Stafford Beer is an organizational...

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

snowflake, Cantor set, Sierpinski carpet and Menger sponge, in the number of elements in the construction steps for a Sierpinski triangle, and in many...

on counting and equidistribution for Apollonian circle packings, Sierpinski carpets and Schottky dances. She is currently the Abraham Robinson Professor...

same sense that the Sierpiński pyramid and Menger sponge can be considered extensions of the Sierpinski triangle and Sierpinski carpet. The version of the...

system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...

system Barnsley fern Cantor set Koch snowflake Menger sponge Sierpinski carpet Sierpinski triangle Apollonian gasket Fibonacci word Space-filling curve...

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...

Pythagoras tree Rauzy fractal Rössler attractor Sierpiński arrowhead curve Sierpinski carpet Sierpiński curve Sierpinski triangle Smith–Volterra–Cantor set T-square...

Peano curve with the middle line erased creates a Sierpinski carpet...

of topologies – List of concrete topologies and topological spaces Sierpinski carpet – Plane fractal built from squaresPages displaying short descriptions...

examples of polynomials whose Julia sets are homeomorphic to the Sierpiński carpet and which are disconnected. She contributed to other areas of complex...

neither arcwise connected nor locally connected. The Sierpinski carpet, also known as the Sierpinski universal curve, is a one-dimensional planar Peano...

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...

Bieberbach conjecture. Wacław Sierpiński gives the first example of an absolutely normal number and describes the Sierpinski carpet. 1 January – The British...

the plane whose boundary is an indecomposable continuum Solenoid Sierpinski carpet Nadler, Sam (2017). Continuum Theory: An Introduction. CRC Press....

Quaternionic fractal - three dimensional complex quadratic map Sierpinski carpet Sierpinski triangle Chaos from Euler Solution of ODEs On the dynamics of...

theory, theory of functions and topology; Sierpiński triangle, Sierpiński carpet, Sierpiński curve, Sierpiński number. Wiktor Kemula, Polish chemist. He...