I found these images on "Beyond Escher for Real" here they took Escher like impossible images and recreated them with some 3d modeling software. From their page they say,
Herein again, we show that many of the illusions look impossible yet could be realized. This work below presents some of these three-dimensional models that were designed and built using geometric modeling and computer graphics tools.The following is the "Folded Chess Set" by Sandro Del-Prete. The top image models the original drawing from the original perspective. In the bottom image they take the model they built and rotate it to expose how it could be constructed.
"Folded Chess Set" by Sandro Del-Prete
Click here to see a movie rotating the model from front to side.