I Built an Original One-Glance Proof from Dice

2025-10-11

[public] 11.8K views, 780 likes, dislikes audio only

Is there really something new to discover about our good old six-sided die? Well, I just did :) Nothing Earth-shattering and definitely a combo of things we've known for a while, still very neat I think. Let's see whether you agree :)

Here is the javascript app that me and my new best coding buddy ChatGPT vibed together for this video. You may have to adjust the width of your browser window to align the orange frames with the two Rubik's cube simulators on this page.

https://www.qedcat.com/parity/invariant.html

00:00 Intro

02:04 Magnet mechanism

03:07 App

09:31 Magnet cubes

13:28 Drilling cubes

13:37 Thanks

The relevant info about the arrangement of numbers of a die

https://en.wikipedia.org/wiki/Dice#Arrangement

The 1970 patent of a magnetic "Rubik's" cube by Larry D Nichols

https://en.wikipedia.org/wiki/Rubik%27s_Cube#History

Check out this classic Mathologer video about magnet Rubik's cubes

https://youtu.be/Xb8ENlS-5Go

Owen Lillywhite's Magneticcube.com is no more (he closed shop in 2021), but here is a backup of the website at the waybackmachine. Worth a visit :)

https://web.archive.org/web/20181202133114/http://magneticcube.com/

Music: Ziv Moran: The Bridge

T-shirt: The impossible board game t-shirt https://www.teepublic.com/t-shirt/300445-the-impossible-board-game

Enjoy!

Burkard

P.S.: There were two entries in the last video’s coding competition, and both were fantastic, each deserving of a first prize.

Ed Collen: https://2x2x2x2.vercel.app/cube

Rebelkeithy: https://rebelkeithy.github.io/TheHedgehog