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The usage of the word "gasket" to refer to the Sierpiński triangle refers to gaskets such as are found in motors, and which sometimes feature a series of holes of decreasing size, similar to the fractal; this usage was coined by Benoit Mandelbrot, who thought the fractal looked similar to "the part that prevents leaks in motors". [23]
Cut a cross through each side of the cube, leaving eight cubes (of rank +1) at the corners of the original cube, as well as twelve smaller cubes (of rank +2) centered on the edges of the original cube between cubes of rank +1. Repeat the process on the cubes of ranks 1 and 2. Iterating an infinite number of times results in the Jerusalem cube.
Internal pressure acts upon the faces of the V, forcing the gasket to seal against the flange faces. Most spiral wound gasket applications will use two standard gasket thicknesses: 1/8 inch and 3/16 inch. With 1/8 inch thick gaskets, compression to a 0.100 inch thickness is recommended. For 3/16 inches, compress to a 0.13 inch thickness.
An n-flake, polyflake, or Sierpinski n-gon, [1]: 1 is a fractal constructed starting from an n-gon.This n-gon is replaced by a flake of smaller n-gons, such that the scaled polygons are placed at the vertices, and sometimes in the center.
The latter reaches a mean distance proportional to √ n after n steps, but the random walk on the discrete Sierpiński carpet reaches only a mean distance proportional to β √ n for some β > 2. They also showed that this random walk satisfies stronger large deviation inequalities (so called "sub-Gaussian inequalities") and that it satisfies ...
The Sierpiński arrowhead curve is a fractal curve similar in appearance and identical in limit to the Sierpiński triangle. Evolution of Sierpiński arrowhead curve The Sierpiński arrowhead curve draws an equilateral triangle with triangular holes at equal intervals.