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Tetrahedral Planetoid by dudecon Tetrahedral Planetoid by dudecon
Here it is! M.C. Escher's Tetrahedral Planetoid modeled in 3d.

This is the same view as the original woodcut. If you compare them carefully you'll see I wasn't very strict with the modeling, and took some liberties with the geometry. Still though, it is very close, and all the features are in there (I think). You can see the development of this model on my website: [link]

This project has taken over three years all told, though there were long stretches of inactivity. The process of creating the geometry has been much more grueling than I anticipated. Getting all of the odd faces to match up, while maintaining the beautiful regularity of the model has proven extremely challenging. Even thinking about modeling some of the shapes has taken a while, and I have yet to develop a consistent mode of thought which can adequately address all of the issues I've encountered. I encourage anyone wishing to stretch their spacial perception and 3d modeling skills to tackle this simple yet elusive object.
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abstractness1 Featured By Owner Apr 21, 2016
That's my favourite Escher picture. Now you have to make the tetrahedron edges straight like the on the original and then it's fine.
dudecon Featured By Owner Dec 19, 2016  Professional Digital Artist
Escher's renderings are difficult to replicate in part because they have a non-euclidean visual mapping. It's not just perspective or isometric, but an odd mixture of the two.
But, if you'd like to try your hand, the source files are here:…
j3f3rs0n Featured By Owner May 10, 2013
Great work of Escher!
GlassRhinos Featured By Owner Mar 19, 2013  Hobbyist Digital Artist
My applauds to you, I started this about a year ago, took slightly different approach before moving onto other things. I started with the four sided solid and laid out the terraces. Having the perspective lines/walls laid out I figured it would be easier to extend or cut in the other shapes. I never got that far.
KatonicMiss Featured By Owner Apr 28, 2012  Professional Digital Artist
That is so cool.
Hop41 Featured By Owner Feb 17, 2012
Very well done! I am hoping you will try your hand at Escher's Double Planetoid.
DareToWatch Featured By Owner Sep 3, 2010  Student General Artist
Oh My God!!!! Wow, incredible work!!!
seantriana Featured By Owner Aug 25, 2010  Hobbyist Digital Artist
wow, it looks complicated and interesting at the same time, not to mention dizzying too. amazing 3d model!
eriban Featured By Owner Aug 10, 2010
Well done! I applaud your perseverance! :clap: Many people would have given up halfway, or even earlier. Making 3D models always takes quite a bit of time, but especially so in this case. :+fav:
dudecon Featured By Owner Aug 11, 2010  Professional Digital Artist
Thank you very much! Truth is, I did give up a few times. The trick is to come back and finish it.
PNu Featured By Owner Aug 10, 2010  Hobbyist Traditional Artist
Truly amazing with all the fine details :)
Hop41 Featured By Owner Aug 8, 2010
Nice work! Looks like you've invested a lot of time and effort in this one.
DD28 Featured By Owner Aug 6, 2010  Hobbyist Digital Artist
Very Nice. Makes my brain ache thinking about modelling this :)
dudecon Featured By Owner Aug 6, 2010  Professional Digital Artist
Thanks! It made my brain ache for a while too... like, several years.
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Submitted on
August 5, 2010
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415 KB


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