video thumbnail 19:44
Making efficient Platonic and Archimedean shapes in a kaleidoscope

2022-12-06

[public] 107K views, 9.9K likes, dislikes audio only

channel thumbStand-up Maths
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Sign up on Patreon for the SUM xmas card! https://www.patreon.com/standupmaths If you want the physical card you need to be greater than or equal to "Statistically Significant".

Physical card deadline: end of 06 December 2022

Digital card deadline: end of 15 December 2022

(In both cases I'll try to accommodate sign-ups after that but no promises).

This is why the christmas tree on the card is so low resolution: /youtube/video/jOTTZtVPrgo

Here is the "Deltoidal kaleidoscopes" paper by Josep Rey Nadal and Manuel Udina Abelló.

https://archive.bridgesmathart.org/2022/bridges2022-351.pdf

Museu de Matemàtiques de Catalunya aka "Museum of Mathematics of Catalonia" https://mmaca.cat/en/

This is the art show listing from the 2022 Bridges conference in Helsinki. http://gallery.bridgesmathart.org/exhibitions/2020-bridges-conference/josep-rey

For both kaleidoscopes make two mirror images of each shape.

Deltoidal Hexacontahedron Kaleidoscope Faces: https://www.dropbox.com/s/9tltpyo4v6kjfr6/DeltoidalHexacontahedronKaleidoscopeFaces.pdf?dl=0

Deltoidal Icositetrahedron Kaleidoscope Faces: https://www.dropbox.com/s/jb356rspfn5888c/DeltoidalIcositetrahedronKaleidoscopeFaces.pdf?dl=0

Here is the second channel video from 2017: "How to flat-pack a cube" https://www.youtube.com/watch?v=Kr-yV_T-_9A

Huge thanks to my Patreon supporters who funded so many sheets of mirror acrylic. I actually have a bunch left over. Support me and tell me what I should do with the rest of the mirrors. https://www.patreon.com/standupmaths

CORRECTIONS

- None yet, let me know if you spot anything! My bad taping skills do not count as a mistake.

Filming and editing by Alex Genn-Bash

Shape calculations by Sam Hartburn

Written and performed by Matt Parker

Music by Howard Carter

Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician

Website: http://standupmaths.com/

US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/

UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback


Stand-up Maths I do mathematics and stand-up. Sometimes simultaneously. Occasionally while being filmed. (It's quite the Venn diagram.) Principle channel supporter: Jane Street https://www.janestreet.com/ http://standupmaths.com http://twitter.com/standupmaths
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