The Mathematics of Bell Ringing

[gozar221]

what was the thing on your chest

[norrisonthespot]

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

[bonzifan]

oh my - I'd predict that took several takes!!! rather impressed by the man spinning the cube, its quite interesting.

[scotland7yard]

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

[TheCrazyYoyo]

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

[peterrowlett]

Finally got round to watching this. It came out pretty well, well done Jim!

I also listened to the Math/Maths Podcast recording we did at MathsJam, where Jim gets up and says "I have a plan. I'm going to make a video about bell ringing..." (pulse-project . org) :)

[burny1]

@peterrowlett I thought it was you. How come you no longer do the IMA? We all miss you here at york.

[peterrowlett]

@burny1 yes, I got a new job working on university maths teaching enhancement project for the Maths, Stats and OR Network. I really enjoyed the IMA job but this job is good too :) New IMA University Liaison Officer is starting later this month, afaik.

[koipod13]

There is a much simpler way of doing this

It should 4 possibelits *3 possibelits *2 possiblelits

[gam3raddict89]

I swim, so our coach made us do all the combinations of all the strokes (butterfly, breaststroke, backstroke, free) and in the end, we did 24 sets of 4 lengths total :D

[nitrodavid]

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

[Sandman267]

Matching shirts. Mind = BLOWN.

[PEZenfuego]

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

[tapio2003]

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

[sequencius]

@PEZenfuego

It does look like Lucas Garron, he is a math major at Stanford I believe

[kk72390]

Jim, How do you make advanced math so much fun?

[Eyeball995]

Thumbs up if you laughed whenever he said "bells" =3

[pwed546]

lucas garron, as in the speedcuber?

[FHomeBrew]

Your video's are always so fascinating! you could be the next doctor who :P

[nelsyeung]

Damn when I read the title, I thought it's going to be waves equations or SHM. :P

[mrtamborineman10]

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

[mrtamborineman10]

where is this? Is that Lucas Garron?!

[thomaste33]

ummmmm maths jam

[Pluvialis]

You so crazy :P :D

[LeetSkat3r]

nice bells :)

[superfluousness321]

@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?

[singingbanana]

@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...

[boumbh]

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.

[singingbanana]

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

[boumbh]

@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]

Is you name Jim or James

[singingbanana]

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

[superfluousness321]

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

[singingbanana]

@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).

[Error081688]

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

[TheHungarianCuber]

Is... Is that Lucas Garron!!!!!

???

[singingbanana]

@TheHungarianCuber It is.

[tapio2003]

@TheHungarianCuber It is.

[Error081688]

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.

[ericsurf6]

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

[Forcalious]

Hi people!

[kid29a]

The Internet says hello too. ;)

[AntiCliche]

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

[TyYann]

That was fun!

[nafativedec]

Hello people, nice to meat you

[TyYann]

@nafativedec Nice to meet you too!

[grande1899]

first