> The points look quite uniformly distributed to me. If I squint, then maybe I can see some structure, but it's hard to describe and I could be imagining it.
It doesn't, these points look like what happens if you ask someone who doesn't know what a uniform distribution looks like to generate a uniformly distributed set of points though.
Credit to the book "Struck By Lightning" for making me aware of this fact, many years ago now. Disclaimer that the author is a family friend.
manwe150 · 1h ago
As for the randomness, I have wondered if Collatz sequences are somehow related to the properties of a common prng with multiplier 3/2, infinite length state vector, and mod 2 on the output with this formula: https://en.m.wikipedia.org/wiki/Linear_congruential_generato.... I assume this could be part of what makes the conjecture both interesting and difficult and beautiful.
Very cool to see there is some patterns hiding in the randomness too!
90s_dev · 18m ago
> I've been telling people for years if businesses want employees to have better ideas, they should have more showers in their offices. So far everyone seems to think I'm joking. I'm not.
I have definitely noticed that some of my best ideas or breakthroughs come to me when showering, or sleeping, or eating, or driving, or doing the dishes, or basically any mundane autopilot task where my mind is free to wander. But yeah no, having a shower room in the office is both gross and weird. Maybe offices should.. encourage you to... wash some dishes?
gpm · 15m ago
I've worked in an office with a very nice (clean, private, towels and soap dispensers provided) shower. Actually two (in separate rooms). And taken showers in them. It definitely not gross nor do I think anyone thought it weird, nor was I the only person who used them.
After a bicycle commute to work though, not randomly during the day.
90s_dev · 13m ago
Depends. In skyscrapers with multifloor offices, sure. Regular small-ish offices, the showers would be too proximal for comfort.
gpm · 8m ago
Still going to disagree... these are effectively equivalent to the bathrooms you would see in the average house. Designed for purpose of course (e.g. no tub, and a rack of rolled towels instead of a place to put them).
If they were communal ones like you'd see in many gyms I'd see your point. Or if they weren't very well cleaned. But this was just... convenient and nice. Apart from enabling more active transport to work, I don't think anyone thought twice about them.
The office was technically multifloor, 2. Probably a few hundred people in the office on an average day. Solely in use by the company I was working for.
It doesn't, these points look like what happens if you ask someone who doesn't know what a uniform distribution looks like to generate a uniformly distributed set of points though.
Here's what an actual uniform distribution looks like... much less "uniform": https://claude.ai/public/artifacts/00549caf-2ec1-4803-b909-6...
Credit to the book "Struck By Lightning" for making me aware of this fact, many years ago now. Disclaimer that the author is a family friend.
Very cool to see there is some patterns hiding in the randomness too!
I have definitely noticed that some of my best ideas or breakthroughs come to me when showering, or sleeping, or eating, or driving, or doing the dishes, or basically any mundane autopilot task where my mind is free to wander. But yeah no, having a shower room in the office is both gross and weird. Maybe offices should.. encourage you to... wash some dishes?
After a bicycle commute to work though, not randomly during the day.
If they were communal ones like you'd see in many gyms I'd see your point. Or if they weren't very well cleaned. But this was just... convenient and nice. Apart from enabling more active transport to work, I don't think anyone thought twice about them.
The office was technically multifloor, 2. Probably a few hundred people in the office on an average day. Solely in use by the company I was working for.