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It’s a nice idea but impractical. Energy = mass x gravity x height

Say 10 tonnes of water pumped into a massive 20m high tower… E =10000x9.8x20 Joules. ≈ 2 mega joules.

Theres 3600 joules to a watt hour so dive that and you get:

≈ 550 watt hours (0.55kWh) of storage (assuming perfect efficiency of the turbines). About the same a half a dozen big cordless tool battery packs.

Thank you for actually answering OPs original question and the follow up.
Mathologer (YouTube did a good explanation of creating cube algorithms). Search something like: mathologer design rubiks algorithm

No. I see where they’re coming from. You’re not embracing the spirit of The Fucking Corolla.

You think you’re replacing just a radio but who knows what kind of imbalance you’ll introduce.

It’s a Corolla, without Bluetooth. That’s the rules. Dont fuck with it.

I’ll take, “things that never happened” for $1000 thanks Alex Ken.
It’s nothing if it doesn’t have a yellow and black sign of a road worker scratching his butt.

There are infinitely many. But the cool math that Feynman worked out is that infinite diagrams (paths) kinda look random, unless they’re not random (aligned).

When you get enough infinite “randombess” you tend to cancel almost everything out (not actually random but phases that destructively interfere), so what you’re left with (when you “sum all paths”) are solutions that favour a particular direction or phase.

Hey there! Sorry, I got busy with work today.

I was just noticing that you have plenty of replies. I think you seem to have enough to go on with.

If you still need anything, hit a reply to this one and I can give you my 2-cents worth of opinion.

I think for those classic clicky dumb thermostats they should be called thermochaser.

You dial up a temp and that’s pretty much the least likely temp that you’re setting, the f****** think will overshoot panic, u-turn dive back past the set-point hit the breaks u-turn again apply full throttle.

Or perhaps a thermotease. For when you do that fine adjustment to try and make it just barely click then 10 seconds later it’s too hot or cold… so you give it anither tiny tweak thinking you gotta be close but no, it’s miles away from clicking - burning away, quietly mocking you.

First question. Was your router also your modem? As in describe each connection/device from street until you get to your router.