The Mathematics of Bell Ringing 

@superfluousness321 No, the group of permutations of n bells is S_n, which I can't represent with rotations and reflections of a physical object beyond n=4. But I may do this again someday with something else...

Pretty cool Jim...I really respect the work that you do.

@superfluousness321 This shows that all permutations of four bells (and rotations of a cube) can be generated through repeated use of the permutations (12)(34), (23) and (34).

next instalment: the mathematics of beetles who can't turn around when they fall on their backs

Fantastic fun. James looks so young (in a good way)! The best I've seen.

This is great theory. I very much enjoyed watching but no. 1 needs to be the highest in pitch if it is to help bell ringers.

@singingbanana Oops, yes, with only these two permutations you could only make one third of the combinations (two opposite faces of the cube). (1,2,3,4) -> (1,2,4,3) every 8 moves. roll(90) x yaw(180)

@Thatguy7109 I use both. It always surprises me that some people find that confusing.

@nafativedec Nice to meet you too!

i bet some people ask you this and you might have already awnsered, but what is your IQ?

@boumbh That's it :) Have a closer look for a third permutation.

That actually sounded lovely as a piece of bell ringing music in itself.

0:35 I think you're actually talking about permutations, not combinations.

Great to find one of your older videos. What was really annoying was 1 should be the treble not the tenor!

@TheHungarianCuber It is.

I... I'm not entire sure I understand. -_-

That is very interesting , I know the full extent of 8 bells has been rung which is 40320 changes, but let not go to 12 bells as it would take over 38 years on a proper peal of bellls. The longest peal I have rung was 5152 changes of Yorkshire Surprise Major and it took 3hours 27 minutes

Was this at MathsJam? Ah, yes I've see the credits now. Well done! I was quite impressed with your abilities as a cubist. That would have been extremely difficult for me to remember, I think.

where is this? Is that Lucas Garron?!

first

lucas garron, as in the speedcuber?

There are only two permutations used, alternatively: (1,2,3,4) -> (2,1,4,3) which corresponds to a roll(180) of the cube (1,2,3,4) -> (1,3,2,4) which corresponds to a roll(180) x yaw(-90) of the cube And you get all the combinations.

@PEZenfuego second one from left looks same as Lucas so im pretty sure thats him.

it's easy, you gust grab a sphere and rotate it it's the same group because the sphere doesn't change, and the bug is stuck on its back so it can't change either MATHEMATICS!!!

@singingbanana Oh I see so you get the whole of S_4, but can you ring the changes of not just rotational symmetry but the full reflection group?

Is you name Jim or James

I lied. I memorised the sequence with using my rubik's cube, haha. Still, well done!

Cool. Do bell ringers not use any odd permutations then?

(Two years late, sorry, I try catching up.) English "short" names are sometimes confusing to those who aren't familiar with them. (I'm from Germany.) They often seem not to be just abbreviations but completly other names that share the same first letter! Jim for James is not a bad example. :-) I actually got very confused reading "The picture of Dorian Gray" where Lord Henry was also referred to as "Harry" which isn't shorter neigther in speech *nor* writing! If you happen: Thanks for reading!

Hi people!

oh haha it is! sorry i hadn't watched the end. Lucas is an awesome Cuber as well!

I thought that was Lucas Garron. As others have pointed out, good cuber.

I know this was 8 years ago but it bugs me so much that you start in reverse rounds as the lowest note ought to be the tenor and last bell. Otherwise great vid. Have you tried ringing two at once yet?

i notice they also have the same shirt colours as there bells, classy

mm-hmm, you are mathematicians, then whats her number? (okay, bad joke)

Actually in a Numberphile video she said her favourite number was 21.

That was fun!

@TheHungarianCuber It is.

This video does ring a bell.

You so crazy :P :D

That was tense.

FINALLY!!!!!!!