Archive for August, 2023

A few mathematical numbers


My last post had Joey Marianer (to whom I was flabbergasted to be married) singing some lyrics I wrote, and mentioned that we would soon be at the MathsJam Annual Gathering, and that I’d uploaded all my JoCo Cruise footage for that year. Well, in my aperiodic compiling of blog entries, I have reached a familiar local pattern. Joey (to whom I am still gobsmacked to be married) has sung more lyrics I wrote, we are once again planning to go to the MathsJam Annual Gathering, and I have uploaded all my JoCo Cruise footage for 2023.

A Cake of Sets

At my first MathsJam Annual Gathering, I gave a talk involving one poem I wrote and several that I found. At the 2019 Gathering, Joey and I participated in the competition competition with a Hallelujah competition. At last year’s Gathering, we added some set theory to the Bakeoff with this (cheese(cheesecake)cake) Venn diagram:

An edible Venn diagram consisting of most of a circle of cheese on the left, most of a circle of chocolate cake on the right, with a lens shape of cheesecake where they intersect.

It was mentioned in this excellent summary TikTok by Ayliean!

We assembled it on-site from store-bought cheese, cake, and cheesecake. What with travelling internationally to MathsJam, it would have been impractical to (cheesemake(cheesebake)bake) it ourselves.

A Set of Songs

At this year’s MathsJam, we will add to the set list of the MathsJam Jam.

Symmetry

To start with, we noted an existing theme of symmetric relations in the lyrics of The Beatles’ song ‘All You Need is Love’ and made it explicit. Here’s Joey singing our parody, Symmetry:

Here are the lyrics:

Symmetry!
Symmetry!
Symmetry!

There’s nothing that is x that x is not
No ex where you’re not an ex they’ve got
The symmetry says that the relation goes both ways
It’s easy!

If you’re my sibling, I’m your sibling too
You’re married to me and I to you
Each of these relations is the same as its converse
It’s easy!

x relates to y
x relates to y
x relates to y, why? ’cause y relates to x

If one real number’s greater than the other
Or maybe I’m your son and you’re my mother
Such relations exist, but symmetric ones top our list
They’re easier

When x relates to y
x relates to y
x relates to y and y relates to x

x relates to y
x relates to y
x relates to y, why? ’cause y relates to x

Seven Bridges (of Königsberg) Road

I’ve also written a first draft of a parody of the Steve Young song ‘Seven Bridges Road‘ about the Seven Bridges of Königsberg. Joey hasn’t sung this one, but I intend to enter it into the MathsJam Jam songbook (where there is already a parody of ‘Lola’ about the same topic.) Here are the lyrics:

There are rivers in Königsberg
Cross them as you go
Don’t forget one and don’t you repeat
On the Seven Bridges Road
Now each land mass must have odd or even
Bridges to and fro
Arrive but don’t leave in the same way
And Euler’s work did show
Sometimes there’s an odd one out
How to turn from there and go?
No way for a path with these few rules
Down the Seven Bridges Road
There are rivers in Königsberg
And if ever you decide you should go
There is a way by backtracking only
Down the Seven Bridges Road

Note, this is purely based on the way Jonathan Coulton and Paul and Storm sing Seven Bridges Road when they’re not pretending to be tone-deaf. If other artists sing it differently, the prosody might not work out as well.

This Tiling Never Repeats (in progress)

I’m also working on a parody of History Never Repeats by Split Enz called This Tiling Never Repeats, about the recently discovered aperiodic monotiles, which I am sure will be a big feature of this year’s MathsJam. I expect there to be at least three sets of aperiodic monotile cookies entered in the Bakeoff. I’ve only just started with this parody, but figured I’d mention it in case anyone wants to give me ideas for it, encourage me to finish it, or even write their own. I don’t mind who writes it as long as it exists and is sung at MathsJam.

A Song of Cakes

This section title is just for completeness, and because I needed something to separate the last song from the outro. I know too many songs about cakes to pick one.

As many people contemplate the value of X, I’ve created an account at what is obviously the best-named Mastodon server, Mathstodon. Feel free to follow me there! I don’t know yet how frequently I will post on it and/or my Twitter profile, but at least now you know where to find me if you’re on those networks.

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