Last week, I invited my followers on Mathstodon, LinkedIn and Twitter to ascertain the logic behind this plot:
Let’s play a game of “What’s the plot?”!— Colin Beveridge (@icecolbeveridge) May 16, 2021
A postcard for the first person to tell me what the logic behind this plot is (or, failing that, the answer I like best). pic.twitter.com/pVWWvnaSMC
Before I reveal the answer and the winners, let me go through some honourable mentions in the responses:
- @bbarber_ suggested a projection of the positive orthant of the 4D lattice
- @springdot noted that doodles of feathers are what you draw when you want to be truthful
- @RobAnthony01 said it was a fractal where the central branch is repeated at about 80% of the original, which might be correct but I’m not going to measure
- @vatsasir said “bifurcation”. If anything, it’s a trifurcation.
- @phil_dubious tried to reconstruct the fractal, which is a good effort!
- @realityminus3 suggested “Plot: a person starts out telling three versions of the truth. Consequences ensue, disparate storylines entangle, the situation goes dark. Only one character emerges alive.” Love it.
- @jgfwstone reckoned it looked like a computer learning to ride a bike.
- First response ((In future, I reserve the right to decide what constitutes a response. Going ‘first!!!’ isn’t going to get you a postcard.)): @MrAllanMaths, who suggested the Chinese Method for powers
- Most interesting response: On LinkedIn, Deborah Castle asked it it was a Fishikawa, which sent me searching. Lovely idea!
- Closest response: @shahlock suggested “some (wacky) visualization of (x+y+z)^n?”, which I think is morally quite close to the true answer.
All three will be getting postcards :-)
In fact, the coordinates of the nodes of the tree represent the legs of primitive Pythagorean triples (plotted on a log scale). The edges are the links in this tree of triples – every primitive triple can be seen as the parent of three others. (There are several possible ways to do this; I picked the one that was simplest to code up.)
Wasn’t that fun? Let me know if you’d like to play again!
A selection of other posts
subscribe via RSS