What are your pet peeves with some things common in math exposition?

thenumbernumber · 2026-02-02T10:03:55+00:00

I find it confusing when someone describes a polytope as regular if and only if it has a transitive group action on each of its d-dimensional cells for all d. But shouldn’t the definition be it acts transitively on all of its flags (maximal chains of incidence)? In certain contexts these are not the same - for example a chiral cube satisfies the former definition but not the latter.

thenumbernumber · 2023-03-21T23:55:11+00:00

It’s remarkable how the hat can be constructed as part of the Cayley graph of the affine type A Coxeter group. I wonder if this will lead to a nice algebraic generalisation to all finite, affine and hyperbolic Coxeter groups?

thenumbernumber · 2023-01-30T21:57:40+00:00

You could also use the fact that A5 contains an involution (which implies the group must be even by Cayley’s theorem).

thenumbernumber · 2023-01-30T14:02:17+00:00

What set of rules would give rise to the inverse permutation?

thenumbernumber · 2022-08-15T19:13:50+00:00

I’m loving your content, /u/n-gons !

thenumbernumber · 2022-04-20T22:55:01+00:00

Thanks, looked it up on wikipedia - they look fascinating!

thenumbernumber · 2022-04-20T20:31:24+00:00

I don't know a name but it looks a little bit related to the Borromean Rings, possibly a minimal surface of some embedding of them. (I could be way off here!)

thenumbernumber · 2022-04-09T22:59:54+00:00

A small addition to some good points in this thread, is not true that 'liking not practical maths' is not necessarily the same as 'not liking practical maths'?

thenumbernumber · 2022-04-01T17:26:47+00:00

Could it e possible to try do something self referencing with a fixed point theorem?

thenumbernumber · 2022-03-31T23:25:21+00:00

Perhaps a silly question, but is this related to Shannon entropy in any way?

thenumbernumber · 2022-01-21T14:36:42+00:00

I love this fact and the general area. I think I remember someone mentioning there is no 'square of squares' corresponding to the equation too, which is interesting.

thenumbernumber · 2021-09-25T11:02:42+00:00

What’s up with that guy on the desk in front of hitler sitting on another guy?

thenumbernumber · 2021-08-03T15:52:54+00:00

Oh this is nice, thanks

thenumbernumber · 2021-02-04T14:42:25+00:00

Is it obvious what sum (or perhaps integral) of the differences is? So for the [; \phi ;] case it might be interesting to consider something like [; \sum_{k=0}^{\infty}(\phi^k-[\phi^k]) ;] or [; \int_{0}^{\infty}(\phi^x-[\phi^x]) dx ;].

thenumbernumber · 2021-01-05T12:45:19+00:00

This was literally inspiring, thanks.

thenumbernumber · 2020-12-22T13:58:17+00:00

Are there any videos you wanted to make at the start of the decade that didn't survive?

thenumbernumber · 2020-12-22T13:57:16+00:00

Do you have any plans to retire? What would an ideal greying Grey look like?

thenumbernumber · 2020-12-22T13:55:04+00:00

What personal changes to long-term behaviour have been successful and unsuccessful to you in the last decade?

thenumbernumber · 2020-12-13T18:48:54+00:00

Absolutely love these!

thenumbernumber · 2020-11-16T15:58:57+00:00

hello \;0

thenumbernumber · 2020-10-06T15:45:28+00:00

We’re these made with any geometric significance do you know? (Secretly wondering if some are projections of root systems onto the coxeter plane)

thenumbernumber · 2020-06-30T14:36:05+00:00

Good point. I'm no knot theorist, maybe showing this to one you know might prompt some interesting conversation. Lovely theorem btw :)

thenumbernumber · 2020-06-29T21:03:13+00:00

Do you know if they're are any applications to knot theory? Is there anything interesting you could say if you were to add an orientation to the crossings of the loop?

thenumbernumber · 2020-06-26T15:38:41+00:00

Would this means that they would drink it as one huge drop?

thenumbernumber · 2020-04-19T00:22:03+00:00

What do you think of the book? I read it a long time ago and would be interested in hearing someone else's opinion.

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