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By George Hart for the Museum of Mathematics

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A few months ago, this column showed a cut-and-fold paper version of Escher’s Relativity. Here’s a new version, made of nylon by selective laser sintering on a 3D printing machine. The 3D file for this was designed by Oded Fuhrmann and Gershon Elber, who present a number of Escher-inspired objects. I scaled this instance of it to be 9 cm across.

Escher’s design is based on three walls of a cube, with the six axis directions (+/- X, Y, or Z) each understandable as the Up direction in some part of the structure. So it is confusing, but not an “impossible object” or trick of perspective. Below is a view from another angle, which may help make the structure clear.

If you have access to a 3D printing machine and would like to make your own copy of Relativity, the stl file is available here, (c) Oded Fuhrmann (of Google) and Gershon Elber (of the Technion).

More:
See all of George Hart’s Math Monday columns

Sean Michael Ragan

I am descended from 5,000 generations of tool-using primates. Also, I went to college and stuff. I write for MAKE, serve as Technical Editor for MAKE magazine, and develop original DIY content for Make: Projects.


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Comments

  1. turtelix says:

    bronken link for the .stl file…. =/

    1. turtelix says:

      http://www.cs.technion.ac.il/~gershon/EscherForReal/
      here i found this model and lots of escher/optical illusion ones

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