God's Number: A Mini Documentary

Every Rubik's Cube scramble can be solved in under 20 moves... but how do we know ? How do we know that God's Number is EXACTLY 20? Today, I'm taking you on the 30-year-long journey that mathematicians all around the world took to pinpoint God's number. This is God's Number: A Mini Documentary.

Download Cube Explorer by Herbert Kociemba:
https://kociemba.org/download.htm

Silviu Radu’s work:
28 Moves: http://forum.cubeman.org/?q=node/view/37
27 Moves: http://forum.cubeman.org/?q=node/view/53

Video Chapters:
00:00 Introduction
00:59 General Strategy
01:52 Finding a Lower Bound
04:46 Finding an Upper Bound
05:14 Morwen Thistlethwaite, 1981
08:40 Hans Kloosterman, 1990
09:44 Herbert Kociemba, 1992
10:55 Michael Reid, 1992
12:07 Dik Winter, 1992
12:30 Michael Reid, 1995
13:42 Michael Reid, 1995, New Lower Bound
14:27 Silviu Radu, 2005
15:07 Dan Kunkle, Gene Cooperman, 2007
15:20 Tomas Rokicki, 2008
15:29 Tomas Rokicki, John Welborn, 2008
15:34 Tomas Rokicki, John Welborn, 2008 (again!)
15:44 Tomas Rokicki, Herbert Kociemba, Morley Davidson, John Dethridge, 2010
17:13 Conclusion + Final Thoughts

Music from #Uppbeat (free for Creators!):
https://uppbeat.io/t/ak/time-flies
License code: DVNXSCE7HF1F9FLH

Stock videos from Pixabay: pixabay.com, by Sześcian, PIRO, William McDonald, DJStrawberry_4111, Coverr-Free-Footage, Joshua Malic, Tomislav Jakupec, u_rrc9sha8eq, Muhammad Rahad, and Sześcian.

References (APA 7th):
God’s Number and Rubik’s Cube - Numberphile. (2012). [YouTube Video]. In YouTube.    • God's Number and Rubik's Cube - Numberphile  
The Search For God’s Number | Rubik’s Cube. (2023). [YouTube Video]. In YouTube.    • The Search For God's Number | Rubik's Cube   ‌
Wikipedia Contributors. (September 14, 2023). Optimal solutions for the Rubik’s Cube. Wikipedia; Wikimedia Foundation. https://en.wikipedia.org/wiki/Optimal...
God’s Number is 20. (n.d.). Www.cube20.org. https://www.cube20.org/ Accessed August 1, 2024.
Thistlethwaite’s 52-move algorithm. (n.d.). Www.jaapsch.net. Accessed August 1, 2024. https://www.jaapsch.net/puzzles/thist....
Cube Lovers: an upper bound on god’s number. (n.d.). Rwth-Aachen.de. Accessed August 1, 2024. https://www.math.rwth-aachen.de/~Mart...
Cube Lovers: new upper bound. (n.d.). Rwth-Aachen.de. Accessed August 1, 2024. https://www.math.rwth-aachen.de/~Mart...
Cube Lovers: new upper bounds. (n.d.). Rwth-Aachen.de. Accessed August 1, 2024. https://www.math.rwth-aachen.de/~Mart...
Cube Lovers: New upper bound on God’s algorithm for Rubik’s cube. (n.d.). Rwth-Aachen.de. Accessed August 1, 2024. https://www.math.rwth-aachen.de/~Mart...
‌Computer Puzzling. (n.d.). Www.jaapsch.net. Accessed August 3, 2024. https://www.jaapsch.net/puzzles/compc...
Cube Lovers: superflip requires 20 face turns. (n.d.). Rwth-Aachen.de. Accessed August 3, 2024. https://www.math.rwth-aachen.de/~Mart...
‌Solving Rubik’s cube in 28 face turns | Domain of the Cube Forum. (n.d.). Forum.cubeman.org. Accessed August 3, 2024. http://forum.cubeman.org/?q=node/view/37
Rubik can be solved in 27f | Domain of the Cube Forum. (n.d.). Forum.cubeman.org. Accessed August 4, 2024. http://forum.cubeman.org/?q=node/view/53
Rokicki, T. (2008). Twenty-Five Moves Suffice for Rubik’s Cube. ArXiv:0803.3435 [Cs]. Accessed August 5, 2024. https://arxiv.org/abs/0803.3435
Twenty-Three Moves Suffice | Domain of the Cube Forum. (n.d.). Forum.cubeman.org. Accessed August 5, 2024. http://forum.cubeman.org/?q=node/view...

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