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;...

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

⁠log 9/log 3⁠=2 Apollonian gasket Cantor cube Koch snowflake Sierpiński tetrahedron Sierpiński triangle List of fractals by Hausdorff dimension Beck, Christian;...

010110102 = 9010. Rule 90 has also been called the Sierpiński automaton, due to the characteristic Sierpiński triangle shape it generates, and the Martin–Odlyzko–Wolfram...

produce a fractal shape. Using a regular triangle and the factor 1/2 will result in the Sierpinski triangle, while creating the proper arrangement with...

90 The Sierpiński arrowhead curve is a fractal curve similar in appearance and identical in limit to the Sierpiński triangle. The Sierpiński arrowhead...

triangles that are scaled by 1/2. The sixth iteration of the Sierpinski triangle. The Sierpinski triangle created by the chaos game. If a sierpinski 4-gon...

coloring only the odd numbers in Pascal's triangle closely resembles the fractal known as the Sierpinski triangle. This resemblance becomes increasingly...

different in appearance: The T-square fractal can be derived from the Sierpiński triangle, and vice versa, by adjusting the angle at which sub-elements of...

= 2 n = 4 n = 6 It is also possible to approximate the Sierpinski triangle using a Sierpiński arrowhead curve L-system. variables : A B constants : +...

function (hence "function system"). The canonical example is the Sierpiński triangle. The functions are normally contractive, which means they bring points...

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 from...

graph representation of the game will resemble a fractal figure, the Sierpiński triangle. It is clear that the great majority of positions in the puzzle will...

isosceles triangles can have different base angles. If two angles of a triangle have measures equal to the measures of two angles of another triangle, then...

1&1&1&1&1\end{pmatrix}}} where the 'S' here stands for "Sierpiński", as in Sierpiński triangle, and the subscript 3 gives the exponents of its size: 2...

acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle...

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

triangle, minus the top row, which corresponds to a monogon. (Because of this, the 1s in such a list form an approximation to the Sierpiński triangle...

be explored here. The Sierpinski triangle appears in 13th century Italian floor mosaics. Wacław Sierpiński described the triangle in 1915. If we consider...

The Sierpiński triangle is an example of a null set of points in R 2 {\displaystyle \mathbb {R} ^{2}} ....

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...

Schiffler's theorem Sierpinski triangle (fractal geometry) Similarity (geometry) Similarity system of triangles Simson line Special right triangles Spieker center...

combination for which this is possible. Triangle-related fractals in the final chapter include the Sierpiński triangle and Koch snowflake. Reviewer Alasdair...

how to program a Sierpinski triangle recursively. Its red external summit is mobile. | triangle c | c := DrGeoSketch new. triangle := [:s1 :s2 :s3 :n...

Numbers and Diophantine Analysis. New York: Dover, 1952. Sierpiński, Wacław. Pythagorean Triangles, Dover Publications, 2003 (orig. 1962). Sloane, N. J. A...

large triangle and its upper sub-triangle. A related construction making the figure similar to all three of its corner pieces produces the Sierpiński triangle...

of three equilateral triangles that are joined to create a large equilateral triangle. Its design resembles the Sierpiński triangle. The three pieces are...

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

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