Equidistant points along a path

[PerfectlySquared (Squared)]

I’m creating a train system where the carts move along a path, however the distance between the carts changes along the path due to the distance between each point not being constant

start of the track

end of it.

Is there a way I can shift the points on which will remain on the same path, but to remain equidistant from each other?

thanks in advance

[Azarctic]

I don’t understand what you’re looking for, why not just place the points equal distance apart from each other when you were creating the train path?

[PerfectlySquared (Squared)]

The points arent going to be in a straight line all the time, they’ll be gradually curving at certain angles.

[Azarctic]

Thought of a solution. Mark the first part. Create a table that orders the parts from distance from that labelled part. Use tables to keep track of lookvectors (so the angle stays the same). Then loop through the parts table and set new parts accordingly. Here’s a basic demo

local parts = workspace.parts
local p1 = parts.p1
local goalDistance = 5  -- Desired distance between parts
local info = {}
local indexes = {}
local directionVectors = {}
local partTable = parts:GetChildren()

for i,v in ipairs(partTable) do
	info[#info+1] = {v, (v.Position - p1.Position).Magnitude}
	indexes[#indexes + 1] = i
end


local comparisons = #parts:GetChildren() - 1

-- Bubble sort; ordering parts by distance

for a = 1,comparisons do
	for i = 1,comparisons do
		if info[i+1][2] < info[i][2] then
			
			-- Switching parts
			
			local temp = info[i][2]
			info[i][2] = info[i+1][2]
			info[i+1][2] = temp
			
			-- Using an index table to keep track of what parts are being switched
			
			local temp2 = indexes[i]
			indexes[i] = indexes[i+1]
			indexes[i+1] = temp2
			
		end
	end
end

-- Creating direction vector table

for b = 1,comparisons do
	directionVectors[#directionVectors + 1] = partTable[indexes[b+1]].Position - partTable[indexes[b]].Position
end

for c = 1,comparisons do
	local directionVector = directionVectors[c]
	local scaleFactor = goalDistance/directionVector.Magnitude
	partTable[c+1].Position = partTable[c].Position + scaleFactor * directionVector -- Set position of part
end