So most people may be wondering what on earth is the Feigenbaum Constant. A very great youtuber that I love to watch can sum up exactly what it is if you watch this video: https://www.youtube.com/watch?v=ETrYE4MdoLQ
Great! You watched the video, now the fun part begins!
As you know by taking λ * ans * (1 - ans) where λ = 4 and the answer is between 0-1 you will get a new number that follows next in the pattern. Using 4 as the λ is useful as it gives tons of different results before the pattern restarts. This is exactly what we want because it would be near impossible for someone to guess the pattern in a small amount of time.
local math = setmetatable({}, {__index = math})
local seed
local function randomSeed()
local guid = game:GetService('HttpService'):GenerateGUID(false)
local seed = ''
for i = 0,#guid,4 do
local section = guid:sub(i,i+4)
local numb = 0
for ii in section:gmatch('.') do
numb = numb + ii:byte()
end
seed = seed .. numb
end
return '0.'..seed:sub(3,#seed)
end
seed = randomSeed()
function math.random(...)
local numb = 4 * seed * (1-seed)
seed = numb
local args = {...}
if #args == 1 then
if not tonumber(args[1]) then return error('bad argument #1 to \'random\' (number expected, got '.. type(args[1]) ..')') end
return math.ceil(numb * args[1]);
elseif #args == 2 then
if not tonumber(args[1]) then return error('bad argument #1 to \'random\' (number expected, got '.. type(args[1]) ..')') end
if not tonumber(args[2]) then return error('bad argument #2 to \'random\' (number expected, got '.. type(args[2]) ..')') end
return math.ceil(numb * (args[2] - (args[1]-1))) + (args[1]-1);
end
return numb
end
return math
This simple module I created puts the Feigenbaum Constant to use as shown in the math.random function I created.
The randomSeed function above the math.random function uses the guid generator to create a somewhat random seed which is what the math.random function will use to run off of. (Theoretically you don’t need to have the randomSeed function as that function is primarily used to make sure the pseudo random pattern is different each time the server starts.)
Edit: You don’t need the randomSeed function, that was a function I created so that I didn’t have to apply a random seed every time to the code so the generated pattern can always be some what random. This whole concept is to show how you can generate random numbers with the Feigenbaum Constant.
