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The Rug Puzzle: how many triangles?

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Description

This video sponsored by ME. I mean: MATHS GEAR. Buy my book.
https://mathsgear.co.uk/collections/books/products/signed-paperback-things-to-make-and-do-in-the-fourth-dimension

My original tweet that started the puzzle!
https://twitter.com/standupmaths/status/981178738594533376

Owner of the rug is Andris Bērziņš: @BerzinsAndris

You can find it online here:
http://www.narma.ee/collection/treski-t65

Download the smaller rug grid:
https://www.dropbox.com/s/ozifr0dmy0i2he5/rug-grid.png?dl=0

Hand working out was Calvin Stromwall: @Cstromw
https://twitter.com/Cstromw/status/981208250577190913

The code was from Edward Mróz: @inzmru
https://twitter.com/inzmru/status/981241767457644544

Animation of the triangles moving around by Samuel Burch: @samisaburch
https://www.youtube.com/watch?v=B82nKLqpgo4

If you think you have an answer: tweet (@standupmaths), comment (standupmaths) or email (matt@standupmaths.com) me.

CORRECTIONS
- No mistakes spotted yet! Let me know if you see anything which is wrong or the puzzle needs additional clarification.

Thanks to my Patreon supporters who made this possible. Here is a random subset:

Kragar
Tim Nichols
Cubey
Dean Fantastic
Jonathan Anderson

Support my channel and I can make more videos. Plus I clearly need a new camera.
https://www.patreon.com/standupmaths

Music by Howard Carter
Design by Simon Wright


MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
Maths book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/

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