2016-10-08

[public] 376K views, 4.95K likes, 265 dislikes audio only

Mathologer

In this video I tell you about Klein bottle Rubik’s cubes, Torus Rubik's Cubes and Klein Quadric Rubik's cubes as an introduction to a whole new universe of twisty puzzles.

Get your own Klein bottle Rubik’s cube, as well as more than 800 other topological twisty puzzles by downloading the free incredibly powerful Rubik’s cube simulator MagicTile by Roice Nelson: http://roice3.org/magictile

Be one of the select few to get your name recorded in our limited edition Mathologer "Klein bottle Rubik Cube Hall of Fame" by solving the tricky puzzle and following this link: http://roice3.org/magictile/mathologer

To get some help with this challenge check out the second part of this video on Mathologer 2 in which I talk about the MagicTile interface, show you how to design and record algorithms as macro moves, as well as talk you through a complete solution of one of the easy Harlequin edge-turning puzzles (featuring the all-time simplest three-piece cycle algorithm as well as some cute parity problems): https://youtu.be/iOla7WPfCvA

Also check out the following videos for more background information.

"A simple trick to design your own solutions to Rubik’s cubes": /youtube/video/-NL76uQOpI0

(for an introduction to designing your own algorithms for solving twisty puzzles)

A mirror paradox, Klein bottles and Rubik's cubes: https://youtu.be/4XN0V4xHaoQ

(An introduction to what Klein bottles are all about and a bit of fun with putting Rubik’s cubes INTO Klein bottles.)

Cracking the 4D Rubik's Cube with simple 3D tricks: /youtube/video/yhPH1369OWc

(Your next challenge after the the Klein Bottle Rubik's cube. Another hall of fame awaits.)

Klein Quadric II: https://youtu.be/6SZ8ONJlw7I

An animation by Jos Leys that shows how the Klein Quadric gets glued together from the patch of 24 regular 7-gons in the hyperbolic plane.

Enjoy :)

Burkard