Can you guess a shape from its shadows?

This video explores the question of whether you can determine the shape of a 3D object by observing a few of its shadows. The results are surprising and beautifully rich!

I created the slides in PowerPoint, and I wrote the music using a trial version of Ableton Live 11.

For more on this topic, here are some resources from Hideki Tsuiki (‪@hidekitsuiki1551‬) :
- Video showing the 3D prints and their various shadows (Watch This!):    • Shadows of Fractal Imaginary Cubes  
- Imaginary cubes webpage: https://u.kyoto-u.jp/icube
- Imaginary cube sculptures and Latin squares: https://archive.bridgesmathart.org/20...
- Imaginary cubes and fractals: https://archive.bridgesmathart.org/20...
- Imaginary cubes and packing puzzles: https://www.mdpi.com/1999-4893/5/2/273
- Imaginary cubes and hypercubes: https://link.springer.com/chapter/10....

Special thanks to ‪@feynmanschicken‬ for offering feedback during the creation process.

0:00 - Introduction
2:48 - Imaginary cube patterns
4:32 - Latin squares
5:43 - The replacement trick
6:22 - Fractals
7:44 - Further exploration

#SoME3