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Fractals05 of 113

Menger sponge

Karl Menger, 1926

The carpet in three dimensions: split the cube into 27 and remove the centre and the six face centres. In the limit the sponge has no volume and infinite surface area.

dim = log 20 / log 3 ≈ 2.7268

On mathcurve.com as Éponge de Menger

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