Using what @Fractality_alt did in:

https://devforum.roblox.com/t/cubic-spline-solver/37303?source_topic_id=81431

You can do something similar to by combining his magical functions:

```
local function calculatePos(x,a,b,c,d)
return a + x*(b + x*(c + x*d))
end
local function GetHermiteCoefficients(p0, p1, m0, m1)
return p0, m0, 3*(p1 - p0) - 2*m0 - m1, 2*(p1 - p0) - m0 - m1
end
local function GetCentripetalCRCoefficients(p0, p1, p2, p3)
return
p1,
0.5*(p2 - p0),
p0 - 2.5*p1 + 2*p2 - 0.5*p3,
1.5*(p1 - p2) + 0.5*(p3 - p0)
end
--[[
example:
a_to_b = CatmullRom(a, a, b, c)
b_to_c = CatmullRom(a, b, c, d)
c_to_d = CatmullRom(b, c, d, d)
--]]
local v3 = Vector3.new
local points = {
v3(0,0,0),
v3(5,0,0),
v3(2,7,3),
v3(4,5,6),
}
local new = Instance.new
local pSize = v3(0.2,0.2,0.2)
local size = #points
for i = 1,size-1 do
local b = points[i]
local a = points[i-1] or b
local c = points[i+1] or b
local d = points[i+2] or c
a,b,c,d = GetCentripetalCRCoefficients(a,b,c,d)
for j = 0,1,0.05 do
local p = new("Part")
p.Size = pSize
p.Anchored = true
p.Position = calculatePos(j,a,b,c,d)
p.Parent = workspace
end
local p = new("Part")
p.Size = pSize*2
p.BrickColor = BrickColor.new("Bright red")
p.Anchored = true
p.Position = points[i]
p.Parent = workspace
end
local p = new("Part")
p.Size = pSize*2
p.BrickColor = BrickColor.new("Bright red")
p.Anchored = true
p.Position = points[size]
p.Parent = workspace
```