Tetrahedral Planetoid by M.C. Escher 3D Model

All Four Faces 2023-12-22

I created original designs for the far two sides. You can download the 3D printable Blender file here This is of my imagination of what the unseen far two faces of the planetoid look like.

Tetrahedral Planetoid Completed by dudecon on Sketchfab

These are some sequential images from my project to make a 3d model based directly from the picture "Tetrahedral Planetoid" by M.C. Escher. It took a long time, so I hope you enjoy the results as much as I have.

The process of creating the geometry was 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.

This is the 3D model of Escher's original vision only. The link to the Blender file of the complete planetoid with the far two sides designed and modeled by me, can be found above at the top of the page.
If you'd like to download the model, here is the Blender file, complete with five previous revisions of the model. Choose between .7z (1.3MB) and .zip (4.2MB)
Tetrahedral Planetoid 3D model, Blender format, 7z archive
Tetrahedral Planetoid 3D model, Blender format, zip archive

If you have comments or feedback, feel free to leave it here. If you'd like to commission a custom 3D model, I can help you with that.

Tetrahedral Planetoid by dudecon on Sketchfab