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...

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

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

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...

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...

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...

equilateral triangles. Other two-dimensional objects can be found in Sierpiński triangle (a fractal shape constructed from an equilateral triangle by subdividing...

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...

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

= 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...

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...

based on triangles include the Sierpiński gasket and the Koch snowflake. The definition by Euclid states that an isosceles triangle is a triangle with exactly...

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...

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...

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...

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...

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

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

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

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

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...

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

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...

game allows plotting the general shape of a fractal such as the Sierpinski triangle by repeating the iterative process a large number of times. More...

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