||This article may be expanded with text translated from the corresponding article in the French Wikipedia. (March 2013)|
In mathematics, a Jerusalem Cube is a fractal object created by recursively drilling Greek cross-shaped holes into a cube. The name comes from a face of the cube resembling a Jerusalem cross pattern.
The construction of the Jerusalem Cube can be described as follows:
- Start with a cube.
- 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 rank 1 and 2.
Each iteration adds eight cubes of rank one and twelve cubes of rank two, a twenty-fold increase. (Similar to the Menger sponge but with two different sized cubes.) Iterating an infinite number of times results in the Jerusalem Cube.
- Eric Baird (2011-08-18). "The Jerusalem Cube". Alt.Fractals. Retrieved 2013-03-13.
- Dickau, R.: Jerusalem Cube Further discussion.
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