Cross Menger (Jerusalem) Fractal

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Many classical fractal figures, such as the Sierpinski carpet, Sierpinski sieve, Menger sponge and tetrix are created by starting with a simple shape (a square, triangle, cube or tetrahedron) and then repeatedly assembling scaled versions of the shape.


The cross Menger (or Jerusalem) fractal follows a similar procedure. However, where other fractals commonly use a simple rational scaling factor (commonly or ), this uses a scaling factor of .


Contributed by: Robert Dickau (August 2018)
Open content licensed under CC BY-NC-SA



[1] Wikipedia. "Cube de Jérusalem." (Jul 31, 2018)


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