The Binding of Isaac: Rebirth

The Binding of Isaac: Rebirth

The Mandelbrot Set!
18 条留言
juegosjesica6666 2024 年 11 月 7 日 上午 10:09 
the binding of fraactal
Poondaedalin  [作者] 2024 年 10 月 22 日 下午 5:47 
The function takes a bunch of pairs of starting pairs, then keeps squaring and adding until either it flies off to ∞, or it hits the max number of iterations (the sharpness value).

We can't just check if the number is going to ∞, but once it goes past a certain size, we can make a reasonable guess that it'll never settle to a value (I have the tolerance set to 16).

Once we have the full grid of values, we can generate a grid of white squares, then change their brightness based on how many iterations it took to fly off (or default to black if it reaches the maximum)

As for why? Well, I realized a while ago that making generic Isaac mods isn't as fun as making something completely unique and ridiculous, and I've kinda been acting on that philosophy ever since I made the Bejeweled mod last year. It's been fun so far, and I have a bunch of insane ideas that I want to try.

(I'm working on an Isaac RPG proof-of-concept as we speak :ChrisSmirk:)
Poondaedalin  [作者] 2024 年 10 月 22 日 下午 5:42 
@aviess
It's not as complicated as it looks (at least I don't think it is lol):

The way the Mandelbrot set works is by taking a range of values, feeding them into a function, then repeating that process until they either settle to a value or fly off to Infinity.

The function is y = x^2 + c, where x and c are complex numbers written as (a + bi). That sounds scary, but a complex number in this context is just a pair of numbers with slightly different behavior when you multiply them together, since i^2 is -1. There's some correlation between complex numbers and rotation around a circle that makes the visualization do a lot of the crazy stuff that it does, but that's not really important for this explanation.

You can technically use any pair of numbers for c, and any other value's graph is called a Julia set, but I used (-1, 0) for the classic image.

[continued on the next post since Steam only allows 1000 characters per comment >:( ]
aviess 2024 年 10 月 22 日 下午 2:51 
this is really cool actually. how did you do it, and why? LMAO
Deckard 2024 年 10 月 19 日 上午 3:25 
this is just like the FIST campaign kit MANDELBROT SET!
greatlakes.avengersfan_2414 2024 年 10 月 18 日 上午 1:27 
RG JUBILEE was right the mandelbrot is from god
Hamburger 2024 年 9 月 15 日 下午 3:40 
a mod that nobody ever asked for, but we got anyways. thank you!
Catalemon 2024 年 9 月 9 日 下午 5:48 
Am i stupid? i dont know what this is!
Tacolover93 2024 年 8 月 30 日 上午 2:04 
Thank god someone finally made this
shmaney 2024 年 8 月 27 日 下午 6:15 
this is insanely ♥♥♥♥♥♥♥ cool
hydradamian usembassy.gov 2024 年 8 月 17 日 上午 3:57 
yeah that's cool
Marpro_750 2024 年 8 月 16 日 下午 11:52 
top tier mod
broseidon 2024 年 8 月 16 日 下午 4:13 
bro what
james sunderland 2024 年 8 月 16 日 下午 2:54 
HOW just how
Noosh 2024 年 8 月 13 日 下午 7:20 
i did this in javascript at school once
Biddybododode 2024 年 8 月 13 日 上午 10:25 
This is bad-ass.
Striderman 2024 年 8 月 11 日 下午 9:13 
Benoit would be proud.
RFil 2024 年 8 月 11 日 下午 2:15 
Science isn't about "why?". It's about "why not?".