The Kid Should See This

3D-printed impossible triangles

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Mathematician and mathematical artist Henry Segerman is well-known for visualizing mathematics with his prolific exploration of 3D-printed art, puzzles, and mechanisms. In this video, Segerman introduces the Penrose Triangle, also known as the Impossible Triangle, a three-dimensional object that can’t physically exist.


Watch as he observes a few different approaches to creating the illusion. Featured models include his Impossible Triangle (helix), above, and Impossible Triangle (tilted planes), as well as Tato_713’s curvy Penrose triangle-like figure, below.


Find Henry Segerman‘s mathematical art on Shapeways, Thingiverse, and Sketchfab, and Printables. He’s also on Instagram.

For more impossible objects and work from Segerman, enjoy these selections:
β€’ Five 3D-printed impossible figure illusions
β€’Β Penrose, an impossible object animation
β€’Β Topology Joke
β€’Β Three Gears are Possible
β€’ Ambiguous Cylinder Illusion by Kokichi Sugihara

Bonus activity: How to draw a Penrose Rectangle and other impossible objects.

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