Mathematics doesn’t have to be useful to be worth doing. Some of the most interesting questions in math have no application — they’re just genuinely strange and beautiful, and following them is its own reward.
This is where I write about numbers for the love of it. Patterns that keep appearing in unexpected places. Constants that behave oddly. Structures that connect things that have no obvious right to be connected.
One thread I keep returning to: a constant I call W, defined as ln(10)/4. It’s not famous. It doesn’t appear in textbooks. But it keeps showing up in places where it has no obvious right to be — bridging natural and common logarithms, generating ellipses with curious properties, connecting to elliptic functions in ways I’m still working out. Whether W is genuinely fundamental or just a useful coincidence, I haven’t decided. That’s what makes it interesting.
If you’re the kind of person who finds this sort of thing worth an hour on a weekend, you’re welcome here.
