Collatz Countdown
"Collatz Countdown" is an Idle Incremental based on the Collatz Conjecture. You make money by choosing a starting number, and then every few seconds you make the amount of money, that the next Collatz Step is.
The Collatz steps are calculated using this formula:
-If the number is even, it gets divided by 2 (n/2)
-If the number is odd, it gets multiplied by 3, and 1 gets added (3n + 1)
This can cause really unpredictable patterns, e.g. 26 falls into the 4,2,1,4,2,1 loop after 11 steps, while 27 falls after 112 steps.
Have fun!
Comments
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this is quite polished! could see myself getting addicted if there was a little more (sounds mostly, but more upgrades and even changing things to like 4n+1 or 3n-1 things like that)
I actually wanted to change the rules mid-run, but I did some research and all the other rules I have found either explode to infinity or produce numbers way smaller than the 3n + 1 rule. Thanks for playing!
It's a neat idea, but I think you need to adjust the price escalation on the numbers. Even after you've maxed everything out, that last grind to the end is a real slog.
Also, maybe simplify money and costs down to thousands/millions/billions. When you're dealing with a number like 135312.35, it's a lot easier to parse it written as 135k.
Yeah the prices might be a bit bad for this game. I unfortunatly didn’t have time to playtest this and adjust the pricing. Thanks for playing!
It would be funny if you included a system for detecting a loop other than 4,2,1 with the message of "You disproved the Collatz Conjecture with the number {number}"
I actually wanted to change the rules mid-run, but I did some research and all the other rules I have found either explode to infinity or produce numbers way smaller than the 3n + 1 rule
if you havent watched it carykh made a really good video called "the collatz multiverse" that covers all of that
Yeah, that's how I did my research. Very cool video
It would be awesome if i could zoom or something, small numbers are hard to see.