Menger Sponge
by Steve Plummer
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> Menger Sponge
© Steve Plummer & Pat Ashforth
© Steve Plummer & Pat Ashforth
© Steve Plummer & Pat Ashforth
© Steve Plummer & Pat Ashforth
© Steve Plummer & Pat Ashforth
© Steve Plummer & Pat Ashforth
Menger Sponge
A Menger Sponge is a 3D fractal. Theoretically it has an infinite surface and zero volume.
If you take a 3 x 3 x 3 cube and remove the centre cube from each face and the very centre cube, you are left with 20 cubes. From each of these remove the centre cubes, as before, then keep on repeating this process. The surface area of the remaining shape keeps getting bigger and the volume keeps getting smaller.
The illusion representation disappears from view when you stand directly in front of it and you see only stripes.
The illusion could be made in any thickness of yarn but it is 290 stitches wide so using a thick yarn would make it very large. The hanging shown in the photos is about 105 cm (42”) square.
For more information, see:
http://www.illusionknitting.woollythoughts.com/menge...
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- First published: November 2015
- Page created: November 10, 2015
- Last updated: November 15, 2020 …
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