Can any shape fit through its own silhouette?

From Standup Mathematician.

Print out your Nopert with the Bambu Lab X1C Combo https://www.awin1.com/cread.php?awinmid=46345&awinaffid=2412541
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Check out Tom 7’s video which this video goes through: https://www.youtube.com/watch?v=QH4MviUE0_s

Here’s the paper announcing the Noperthedron: https://arxiv.org/pdf/2508.18475

My 2014 where I write about Prince Rupert’s Cube: "Things To Make And Do In The Fourth Dimension"
https://amzn.to/4iLiK3s
https://www.penguin.com.au/books/things-to-make-and-do-in-the-fourth-dimension-9780141975863

Here is my 2021 video about a Rupert pumpkin: Can you make a hole in a thing bigger than the thing? https://www.youtube.com/watch?v=gPIRLQZnRNk

And I talked about it on this episode of the A Problem Squared podcast: https://creators.spotify.com/pod/profile/a-problem-squared/episodes/024–Pumpkin-Bores-and-Bumps-n-Doors-e2aqu2s

Huge thanks to my Patreon supporters. They fit in my heart without issue. http://patreon.com/standupmaths

CORRECTIONS
None yet, let me know if you spot anything!

Filming by Alex Genn-Bash
Editing by Gus Melton
Written and performed by Matt Parker
Produced by Nicole Jacobus
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/