Koch snowflake
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The Koch snowflake can be built up iteratively, in a sequence of stages. The first stage is an equilateral triangle, and each successive stage is formed by adding outward bends to each side of the pre
Koch Curve in Three Dimensions
Menger sponge
Videos
In mathematics, the Menger sponge is a fractal curve. It is a three-dimensional generalization of the two-dimensional Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies o
Koch snowflake
…constructed from Koch curves. The shape can be considered a three-dimensional extension of the curve in the same sense that the Sierpiński pyramid and Menger sponge can be considered extensions of the Sierpinski triangle and Sierpinski carpet. The version of the curve used for this shape uses 85° angles. ≤2D, 90…
An illustration of the iterative construction of a Menger sponge up to M3, the third iteration
One of the MegaMengers, at the University of Bath
A model of a Tetrix viewed through the center of the Cambridge Level-3 MegaMenger at the 2015 Cambridge Science Festival
3D-printed model Jerusalem cube