I have an interest in bitcoin and am trying to understand the supply shrinkage effect on price, Im trying to figure out if somethings new supply halves every 4 years how much does new supply shrink per day, if it is getting progressively smaller?

This is a problem that I've given out many times as an example of an easy-to-understand but unsolved problem in maths. ... So it's slightly disappointing that I can't do that anymore! (But cool to see that progress is in fact possible in weird problems like this.)

I've just discovered this maths magazine (online, and in print). What I've seen so far looks good, and I'd never heard of it before - so I figured I'd share it here.

I've recently realised something about Pythagorean triads; a topic which very few people I know would be interested in hearing about... so I'm posting in here - a ghost town maths community. (But I'll also post on mastodon.). Anyway, the realisation is related to complex numbers.

If I have two complex numbers, I can multiply them like this: (x₁+y₁i)(x₂+y₂i), or like this r₁r₂cis(𝜃₁+𝜃₂). So then, if I represent a Pythagorean triad as a complex number, x+yi, with r as the hypotenuse, then multiplying two of these together is guaranteed to produce another triad. The rectangular method of multiplication guarantees integer real and imaginary components, and the polar method guarantees an integer hypotenuse. For example, (3+4i)(3+4i) = -7+24i. And 7²+24²=25².

So that's a bit interesting. But I have more. Since the polar angle in these triads is always an irrational multiple of 𝜋, repeatedly multiplying by the same triad will never return the angle to where it started. You'll just get ne

Mine is calc 1 > trig > calc 2

Haven't taken the rest yet so I'm not sure.

A puzzle, hope people enjoy!

A chiral aperiodic monotile David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, 2023

https://cs.uwaterloo.ca/~csk/spectre/