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

an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpiński triangle. In three dimensions...

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

factor 1/2 will create a display of a "Sierpinski Tetrahedron", the three-dimensional analogue of the Sierpinski triangle. As the number of points is increased...

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...

= 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 : +...

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

single live cell, Rule 90 has a time-space diagram in the form of a Sierpiński triangle. The behavior of any other configuration can be explained as a superposition...

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

constructed with equilateral triangles. Other two-dimensional objects built from equilateral triangles include the Sierpiński triangle (a fractal shape constructed...

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...

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

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

drawn within them. The Sierpinski triangle may be approximated by a 2 × 2 box fractal with one corner removed. The Sierpinski carpet is a 3 × 3 box fractal...

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

four very close approximations to the Sierpinski triangle when applied to a single live cell. The Sierpinski triangle can also be observed in the Game of...

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...

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...

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...

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

for building self-similar sets, including the Cantor set and the Sierpinski triangle. Some space filling curves, such as the Peano curve and Moore curve...

be shown that its Hausdorff dimension is ln(2)/ln(3) ≈ 0.63. The Sierpinski triangle is a union of three copies of itself, each copy shrunk by a factor...

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...

Michael Pietsch was inspired by fractals, specifically the Sierpinski triangle (a.k.a. Sierpinski gasket), but that the edited novel is "more like a lopsided...

parts reproduce, at least roughly, the entire global structure. The Sierpinski triangle (pictured) can be covered by three copies of itself, each having...

distribution Polygamma function Primorial Proof of Bertrand's postulate Sierpinski triangle Star of David theorem Stirling number Stirling transform Stirling's...

The Sierpiński triangle contains infinitely many (scaled-down) copies of itself....

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...

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