I build small, sharp tools for things I do every day — mostly learning
languages, mostly by reading. Below is what runs, and what is coming.
hold anywhere to bend the orbits
Projects
Things I keep thinking about
rank × frequency ≈ constant
Zipf's law
The n-th most common word turns up about 1/n as
often as the first. It holds across every language anyone has
checked, and nobody fully agrees why. It is also the thing that lets
a reader decide which unknown word in a paragraph is worth learning.
Case, and what it costs
Russian marks six cases on almost everything; German marks four and
hides them in the article. Same job, opposite strategy — and the
difference decides how you have to teach either one. Half of what I
build is an argument with that fact.
Two-body problems that aren't
Two masses have a closed-form solution. Add a third and it is
provably chaotic — no formula, only integration. The diagram above
is doing exactly that, forty times a second, which is why holding
the pointer down never quite gives the same orbit twice.