How to get how sharp of a turn is it

[Artzified]

You can write your topic however you want, but you need to answer these questions:

1. What do you want to achieve? Keep it simple and clear!
   i want to check how sharp of a turn the next road is (or make the gaps not visible)

2. What is the issue? Include screenshots / videos if possible!
   when doing abnormally sharp turns, it may cause visible gaps
   
   

3. What solutions have you tried so far? Did you look for solutions on the Developer Hub?
   i tried to fill in the gaps but that seems impossible with script (for me)

the current code:

local RunService = game:GetService("RunService")

function lerp(a, b, t)
	return a + (b - a) * t
end

function quadraticBezier(t, p0, p1, p2)
	local l1 = lerp(p0, p1, t)
	local l2 = lerp(p1, p2, t)
	local quad = lerp(l1, l2, t)
	return quad
end

local smoothness = .01
local offset = .11

local curvatureLimit = 45

local index = 0

local function generate()
	local p0 = Vector3.zero
	local p1 = workspace.p1.Position
	local p2 = workspace.p2.Position
	
	index = 0
	
	for i = 0, 1-smoothness*2, smoothness do
		local pos = quadraticBezier(i, p0, p1, p2)
		local nextPos = quadraticBezier(i + smoothness, p0, p1, p2)

		local clone = workspace.Roads:FindFirstChild(tostring(index)) or script.Parent.Road:Clone()
		local dist = (nextPos-pos).Magnitude
		
		local currentCF = CFrame.new(pos, nextPos) * CFrame.new(0, 0, -dist/2)

		for _, v in pairs(clone:GetChildren()) do
			if not v:IsA('BasePart') then continue end

			v.Size =  Vector3.new(v.Size.X, v.Size.Y, dist + offset)
		end
		
		clone.Name = tostring(index)
		clone:PivotTo(currentCF)

		clone.Parent = workspace.Roads
		
		index += 1
	end
end

RunService.Heartbeat:Connect(function(dt)
	workspace.p1.Position = workspace.p1.Position * Vector3.new(1, 0, 1)
	workspace.p2.Position = workspace.p2.Position * Vector3.new(1, 0, 1)
	generate()
end)

[dthecoolest]

I am no expert on this topic.

But I will suggest some resources that I have seen which could help with road generation.

Looking at Stravant’s work I think you should fill in the gaps using a triangle, it seems each line segment circled in blue below has 2 triangles and one rectangle used to form the curve:

New GeomTools Plugin - QuickRoad is finally here!

I’ve been working on a road plugin for a while now, and the beta version is finally ready! Introducing QuickRoad [image] Easily Build Roads Using Persistent Nodes Roads are built using a system of nodes When the plugin is deselected, the nodes are stored away in ServerStorage for future editing Convenient self-contained models are generated for the road segments / intersections, so the plugin can also be used to generate component road system parts for reuse outside of the plugin …

There is also red blob games article which I think is cool:
https://www.redblobgames.com/articles/curved-paths/

[Artzified]

@dthecoolest

Looking at Stravant’s work I think you should fill in the gaps using a triangle, it seems each line segment circled in blue below has 2 triangles and one rectangle used to form the curve:

i have absolutely no idea how to do this