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THE SCUTOID: did scientists discover a new shape?

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 Geometry   |   Math
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Read the Nature paper for yourself:
"Scutoids are a geometrical solution to three-dimensional packing of epithelia"
https://www.nature.com/articles/s41467-018-05376-1

Thanks to Laura and Clara for helping me with the video!

You can download Laura's model for free or order a print from Shapeways:
https://www.thingiverse.com/thing:3024272
https://www.shapeways.com/product/L4D27PP24/pair-of-packable-scutoids

Laura Taalman, James Madison University
https://www.jmu.edu/mathstat/people/faculty-full-time/Taalman-Laura.shtml

Clara Grima, University of Seville
http://personal.us.es/grima/

These are the shows I was doing in Sydney:
https://www.mansw.nsw.edu.au/student-activities/mathsinspiration

But you can check out the Maths Inspirations shows in the UK:
http://mathsinspiration.com/

And we'll be in New York on 2 October 2018:
https://momath.org/upcoming-events/maths-on-stage/

Images of cells and stuccoed are all from "Scutoids are a geometrical solution to three-dimensional packing of epithelia".

Voronoi demonstration is from here:
https://en.wikipedia.org/wiki/Voronoi_diagram#/media/File:Voronoi_growth_euclidean.gif

Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:

Malcolm Rowe
Rhys Johnson
Brian Lynch
Jade Bilkey
John Lewis

Support my channel and I can make more videos:
https://www.patreon.com/standupmaths

CORRECTIONS
- Yes, I pronounce it SCOO-toid, SCOW-toid, SCOE-toid etc. Sorry. It's new! I actually think ES-COE-TOID is the most correct.
- Alex Sweeney noticed that when I describe a prism I say it has rectangle faced sides. But that is only true of right prisms, in general a prism has side faces which are parallelograms. When I later talk about prismatoids I realised I had to be more general and said the sides are faces with three or four edges. But I should have done that earlier.
- Let me know if you spot anything!

This video is not sponsored by Little Creatures Pale Ale or BBQ Shapes but I am totally open to suggestions.

Music by Howard Carter
Filming and editing by Matt Parker
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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