Making efficient Platonic and Archimedean shapes in a kaleidoscope

Sign up on Patreon for the SUM xmas card!   / 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:    • Can the Same Net Fold into Two Shapes?  

Here is the "Deltoidal kaleidoscopes" paper by Josep Rey Nadal and Manuel Udina Abelló.
https://archive.bridgesmathart.org/20...

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/exh...

For both kaleidoscopes make two mirror images of each shape.
Deltoidal Hexacontahedron Kaleidoscope Faces: https://www.dropbox.com/s/9tltpyo4v6k...
Deltoidal Icositetrahedron Kaleidoscope Faces: https://www.dropbox.com/s/jb356rspfn5...

Here is the second channel video from 2017: "How to flat-pack a cube"    • How to flat-pack a cube  

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.   / 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/bo...
UK book: https://mathsgear.co.uk/collections/b...