How to deform math.noise output

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#1

What do you want to achieve?
I want to create a wave.
What is the issue?
I don’t know how to deform a math.noise output
What solutions have you tried so far?
I have searched all over the internet for answers, (even went to page 2 on google :flushed:)

Side note I want to create a wave using math.noise inspired by how turbulent seas does there waves.

#2

If you want to make a wave system with math.noise, you should know that it is something deoptimized, I did what you want to do a long time ago: Ocean test
What I did is make a function to generate triangles from 3 points in space:

local wedge = Instance.new("WedgePart")
wedge.Anchored = true
wedge.TopSurface = Enum.SurfaceType.Smooth
wedge.BottomSurface = Enum.SurfaceType.Smooth
wedge.BrickColor = BrickColor.new("Electric blue")

local B = Instance.new("SelectionBox")
B.Parent = wedge
B.Adornee = wedge

local n1,n2,n3 = 0,0,0

local function draw3dTriangle(a, b, c, Color)
	local ab, ac, bc = b - a, c - a, c - b
	local abd, acd, bcd = ab:Dot(ab), ac:Dot(ac), bc:Dot(bc)

	if (abd > acd and abd > bcd) then
		c, a = a, c
	elseif (acd > bcd and acd > abd) then
		a, b = b, a
	end

	ab, ac, bc = b - a, c - a, c - b

	local right = ac:Cross(ab).unit
	local up = bc:Cross(right).unit
	local back = bc.unit

	local height = math.abs(ab:Dot(up))

	local w1 = wedge:Clone()
	w1.Size = Vector3.new(0, height, math.abs(ab:Dot(back)))
	w1.CFrame = CFrame.fromMatrix((a + b)/2, right, up, back)
	w1.Parent = workspace.T

	local w2 = wedge:Clone();
	w2.Size = Vector3.new(0, height, math.abs(ac:Dot(back)))
	w2.CFrame = CFrame.fromMatrix((a + c)/2, -right, up, -back)
	w2.Parent = workspace.T
end

These triangles I had them put in a folder to make it easier to delete later.
So I put an empty table and started a loop, inside it I started another and inside this other, they will be in charge of putting the positions of the points in the table to later generate the triangles, here, to obtain the Y axis of the points I used the math.noise, its parameters were:

  1. (First loop + 1 ^ 1.2) / 20
    twenty
  2. (Second loop + 1 ^ 1.2) / 20
    In that order and finally to the math.noise I multiply it by 20. And finally, so that all the triangles do not appear at the same point, we are going to order it as follows:
    At the point we add a new vector, this vector will have the following formula as the X axis: First loop * 5, for the Y axis we put the noise variable and finally for the Z axis: Second loop * 5:
local Puntos = {}

local n = 1
while true do

	for x = 0,X do
		Puntos[x] = {}
		for z = 0,Z do
			local noise = math.noise((x + n ^ 1.2) / 20, 0, (z + n ^ 1.2) /20) * 20
			Puntos[x][z] = Vector3.new((x * 5),noise,(z * 5) )
		end
	end
end

Now we only need to make the points are placed and the triangles are made, for this inside the first loop we are going to put another 2, here we are going to put 4 variables, these are going to be 4 points that now we are going to join by means of the previous triangulation being such that:

for x = 0,X-1 do
		for z = 0,Z-1 do
			
			local a = Puntos[x][z]
			local b = Puntos[x+1][z]
			local c = Puntos[x][z+1]
			local d = Puntos[x+1][z+1]
			
			draw3dTriangle(a,b,c)
			draw3dTriangle(b,c,d)
		end
	end

And finally in the loop first we are going to eliminate all the triangles by putting a wait without parameters and we also change the 1 that we use in the math.noise and we add 0.1 to it::

wait()
n = n + .1
workspace.T:ClearAllChildren()

Final code:

local X,Z = 10,10

local wedge = Instance.new("WedgePart")
wedge.Anchored = true
wedge.TopSurface = Enum.SurfaceType.Smooth
wedge.BottomSurface = Enum.SurfaceType.Smooth
wedge.BrickColor = BrickColor.new("Electric blue")

local B = Instance.new("SelectionBox")
B.Parent = wedge
B.Adornee = wedge

local function draw3dTriangle(a, b, c, Color)
	local ab, ac, bc = b - a, c - a, c - b
	local abd, acd, bcd = ab:Dot(ab), ac:Dot(ac), bc:Dot(bc)

	if (abd > acd and abd > bcd) then
		c, a = a, c
	elseif (acd > bcd and acd > abd) then
		a, b = b, a
	end

	ab, ac, bc = b - a, c - a, c - b

	local right = ac:Cross(ab).unit
	local up = bc:Cross(right).unit
	local back = bc.unit

	local height = math.abs(ab:Dot(up))

	local w1 = wedge:Clone()
	w1.Size = Vector3.new(0, height, math.abs(ab:Dot(back)))
	w1.CFrame = CFrame.fromMatrix((a + b)/2, right, up, back)
	w1.Parent = workspace.T

	local w2 = wedge:Clone();
	w2.Size = Vector3.new(0, height, math.abs(ac:Dot(back)))
	w2.CFrame = CFrame.fromMatrix((a + c)/2, -right, up, -back)
	w2.Parent = workspace.T
end

local Puntos = {}

local n = 1
while true do
	local n1,n2 = 40,40

	for x = 0,X do
		Puntos[x] = {}
		for z = 0,Z do
			local noise = math.noise((x + n ^ 1.2) / 20, 0, (z + n ^ 1.2) /20) * 20
			Puntos[x][z] = Vector3.new((x * 5) + n1,noise + 40,(z * 5) + n2)
		end
	end


	for x = 0,X-1 do
		for z = 0,Z-1 do
			
			local a = Puntos[x][z]
			local b = Puntos[x+1][z]
			local c = Puntos[x][z+1]
			local d = Puntos[x+1][z+1]
			
			draw3dTriangle(a,b,c)
			draw3dTriangle(b,c,d)
		end
	end
	wait()
	n = n + .1
	workspace.T:ClearAllChildren()
end```
#3

Thanks, the game i was referring to is this: The Turbulent Seas - Roblox

However I got in touch with the developer, of course he wont tell me the exact script i mean who would but he told me he just changed skinned meshes bones. And judging of the game (Turbulent Seas) its pretty optimized and can hold up to 50 players…