Using Math to generate Cuboid

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#1

  1. What do you want to achieve?
    I want to be able to generate Cuboid using math.

  2. What is the issue?
    I do not know the math used to generate Cuboid. I only know the math for a circle.

  3. What solutions have you tried so far?
    I have tried asking in various discords.

Circle Generation.

local Radius = 1
local Circle = math.pi * 2
local Amt = 10000

for Number = 1, Amt do
	local Angle = Circle / Amt * Number
	local X = math.sin(Angle) * Radius
	local Z = math.cos(Angle) * Radius
end

Sphere Generation

local function fibonacci_spiral_sphere(num_points)
	local vectors = {}
	local gr = (math.sqrt(5) + 1) / 2
	local ga = (2 - gr) * (2 * math.pi)
	
	for i = 1, num_points do
		local lat = math.asin(-1 + 2 * i / (num_points + 1))
		local lon = ga * i
		
		local x = math.cos(lon) * math.cos(lat)
		local y = math.sin(lon) * math.cos(lat)
		local z = math.sin(lat)
		
		table.insert(vectors, Vector3.new(x, y, z))
	end
	
	return vectors
end

If anyone could help that would be nice (I’m trying to create a game like no man’s sky).

1 Like
Using Math to generate 3D Triangles?
#2

This might sound real obvious, but why don’t you just make a smaller square, centre it to the middle of the main square, then hollow it out?

1 Like
#3

Because I want the size layers etc to be customizable. Like this: Using Math to generate Spheres

#4

Bumping because I still don’t know mans.

#5

If the size of a square is a number called Size center of a square is a Vector3 called Center then each corner of the square is defined as:

local Corner1 = Center + Vector3.new(Size / 2, Size / 2, 0)
local Corner2 = Center + Vector3.new(Size / 2, -Size / 2, 0)
local Corner3 = Center + Vector3.new(-Size / 2, -Size / 2, 0)
local Corner4 = Center + Vector3.new(-Size / 2, Size / 2, 0)

Then you you can draw lines from each corner.

Final code could be something like this:

local function DrawLine(Position1, Position2)
	local Distance = (Position1 - Position2).Magnitude
	
	local Line = Instance.new("Part")
	
	Line.Anchored = true
	Line.Size = Vector3.new(1, 1, Distance)
	--// This CFrame.new(P1, P2) overload is deprecated; but for simplicity I'll use it. 
	Line.CFrame = CFrame.new(Position1, Position2) * CFrame.new(0, 0, -Distance / 2)
	
	return Line
end

local function DrawSquare(Center, Size)
	local Square = Instance.new("Model")
	
	local Corner1 = Center + Vector3.new(Size / 2, Size / 2, 0)
	local Corner2 = Center + Vector3.new(Size / 2, -Size / 2, 0)
	local Corner3 = Center + Vector3.new(-Size / 2, -Size / 2, 0)
	local Corner4 = Center + Vector3.new(-Size / 2, Size / 2, 0)
	
	local Line1 = DrawLine(Corner1, Corner2)
	local Line2 = DrawLine(Corner2, Corner3)
	local Line3 = DrawLine(Corner3, Corner4)
	local Line4 = DrawLine(Corner4, Corner1)
	
	Line1.Parent = Square
	Line2.Parent = Square
	Line3.Parent = Square
	Line4.Parent = Square
	
	Square.Parent = workspace
	
	return Square
end

DrawSquare(Vector3.new(0, 15, 0), 10)

image

#6

Thanks but that is not really what I meant I meant that I wanted to make a Cuboid not a square

#7

Like I meant I 3D square not a 2D square