Why You Can’t Solve a Corner Twist on the Rubik’s Cube скачать в хорошем качестве

Why You Can’t Solve a Corner Twist on the Rubik’s Cube

To learn for free on Brilliant, go to https://brilliant.org/MathVerseAnimated/ . You’ll also get 20% off an annual premium subscription. The Rubik's cube is a famous combination puzzle, which infamously cannot be solved if you twist one of its corner pieces. In this video, we use the field of Group Theory to prove, mathematically, that a corner twist is impossible to solve, and deepen our understanding of how the cube works. This video was inspired by J-perm :    • The World Record Corner Twist that Changed...   (Explanation of how a corner twist can even happen in the first place) Felix Zemdegs' video :    • Rubik's cube world record fail (5.33 DNF)   Further Reading : Group theory and the Rubik's cube - Janet Chen. Adventures in group theory - David Joyner. The 3D Rubik's cube animations plugin: https://manim-rubikscube.readthedocs.... Contact information: ‪@MathVerseAnimated‬ Instagram: / mathverse_animated TikTok: / mathverseanimated Email: [email protected] Chapters : Introduction - 0:00 An overview of the Rubik's cube - 1:06 Introducing groups - 4:06 Sponsor segment : Brilliant - 5:07 Constructing the group of moves - 6:17 Permutations, identifying the group of the moves - 8:28 Characterizing orientations - 12:45 Action of the group of moves on the set of configurations - 17:00 The fundamental theorem of the Rubik's cube - 19:20 Closing statement - 24:40 This video is sponsored by Brilliant.