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zakruti.com » Knowledge, science, education » TED-Ed
Group theory 101: How to play a Rubiks Cube like a piano - Michael Staff

Group theory 101: How to play a Rubiks Cube like a piano - Michael Staff

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Rating: 4.0; Vote: 1
Mathematics explains the workings of the universe, from particle physics to engineering and economics. Math is even closely related to music, and their common ground has something to do with a Rubik's Cube puzzle. Michael Staff explains how group theory can teach us to play a Rubiks Cube like a piano. Lesson by Michael Staff
Date: 2020-08-22

Comments and reviews: 7


this has gotta be the most negatively received video by ted-ed.
most people miss the point or are pretending they do.
I think its about how the faces of a cube can resemble chords in a piano, so one should be able to play all the notes just by scrambling the cube in a deterministic way.
thats exactly what the video is saying
why is everyone so confused

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It's unfortunate that the examples you used for associativity were on cyclic subgroups, all associations performed on powers of a single element. They could easily be confused with commutativity, which is not a group requirement.
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As A 25 Second Rubik's Cube Solver, I Can Confirm That I Do NOT Try To Find A Solution For The Rubik's Cube At Once
Instead, We Solve It Step By Step And For Each Step There Are Many More Than 1 Ways Of Doing It

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Ok so just a heads-up for whoever hasn't watched the video yet, it isn't actually about playing music with the Rubik's cube, but solving the Rubik's cube similarly to how you play the piano.
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at 1: 10 they say 1 + 2 is the same as 2 + 1; I feel like this implies commutativity, which, while true in the case of the integers, does not follow from associativity. Kind of confusing
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I'm convinced this only appeared in my recommended because I have been working with Group Theory in Inorganic Chem -_- not a fan of it at all
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Cool video but totally off the point in the title, now you know all the elements in the rubicks cube are harmonial just like in music, so now?
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