THE SCUTOID: did scientists discover a new shape?

Read the Nature paper for yourself:
"Scutoids are a geometrical solution to three-dimensional packing of epithelia"
www.nature.com...
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:
www.thingivers...
www.shapeways....
Laura Taalman, James Madison University
www.jmu.edu/ma...
Clara Grima, University of Seville
personal.us.es/...
These are the shows I was doing in Sydney:
www.mansw.nsw....
But you can check out the Maths Inspirations shows in the UK:
mathsinspiratio...
And we'll be in New York on 2 October 2018:
momath.org/upc...
Images of cells and stuccoed are all from "Scutoids are a geometrical solution to three-dimensional packing of epithelia".
Voronoi demonstration is from here:
en.wikipedia.o...
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:
/ 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: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/