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The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets—that is, it is a mathematically … See more
There are many different ways of constructing the Sierpinski triangle.
Removing triangles
The Sierpinski triangle may be constructed from an See moreWacław Sierpiński described the Sierpiński triangle in 1915. However, similar patterns appear already as a common motif of 13th-century Cosmatesque inlay … See more
• Apollonian gasket, a set of mutually tangent circles with the same combinatorial structure as the Sierpinski triangle
• List of fractals by Hausdorff dimension
• Sierpiński carpet, another fractal named after Sierpiński and … See moreThe Sierpinski tetrahedron or tetrix is the three-dimensional analogue of the Sierpiński triangle, formed by repeatedly shrinking a regular See more
• "Sierpinski gasket", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
• Weisstein, Eric W. "Sierpinski Sieve". MathWorld.
• Rothemund, Paul W. K.; Papadakis, Nick; Winfree, Erik (2004). "Algorithmic Self-Assembly of … See moreWikipedia text under CC-BY-SA license Sierpinski Triangle - Desmos
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CK12-Foundation
Oct 1, 2024 · The Sierpinski triangle iterates an equilateral triangle (but, any triangle can be used) by connecting the midpoints of the sides and shading the central triangle (Stage 1). …
Tags:Sierpinski TriangleEquilateral TriangleHow does this alternate construction of the Sierpinski …
Jan 27, 2021 · The Sierpinski gasket is compact in $\mathbb{R}^2$. This can be seen either from the triangle removal process (each iterate is closed—we are …
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Part I - Make a Sierpinski Triangle. Supplies: paper, ruler, pencil. With a ruler, draw a triangle to cover as much of the paper as possible. The triangle may be any type of triangle, but it will be …
Tags:Sierpinski TriangleEquilateral TriangleDirections to create a Sierpinski Triangle: Find a midpoint of each side of the triangle (8cm). Connect the midpoints on each side, forming a new triangle in the middle. (note: the new, …
Sierpinski Triangle - Desmos
Sierpinski Triangle | Desmos. This example uses recursion to iteratively draw triangles that are a dilation of the original triangle by 0.5 from each vertex. Learn more about recursion in the …
Tags:Sierpinski TriangleTrianglesSierpinski triangles are perfectly self-similar fractals. Your budding scientist will learn about them and make their own Sierpinski triangle fractal in this simple project that teaches about …
Tags:Sierpinski triangleTriangles in Geometryfractals - L-systems and Sierpinski Triangle - MathOverflow
The space of legal configurations of the Towers of Hanoi puzzle with n n disks approximates Sierpinski's triangle. There is a Hamiltonian path in the space of configurations which can be …
Tags:Area of Sierpinski TriangleSierpinski Triangle Call StackSierpinski Triangular PrismSierpiński Triangle -- from Wolfram MathWorld
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