Bezier curve around its own axis

Help and Feedback Scripting Support
#1

Hi, I’m currently trying to make a Bezier curve that rotates around its own axis. I almost made it but somehow it ends up straight again but it should stay rotated at the end:

Test
Test813×265 258 KB 

local rotationStep = Vector3.new(EndPart.Rotation.X / numPoints, EndPart.Rotation.Y / numPoints, EndPart.Rotation.Z  / numPoints)
local rotationOffset = Vector3.new(
math.rad(rotationStep.X * (i) * math.sin(math.pi * (i - numPoints) / numPoints)),
math.rad(rotationStep.Y * (i) * math.sin(math.pi * (i - numPoints) / numPoints)),
math.rad(rotationStep.Z * (i) * math.sin(math.pi * (i - numPoints) / numPoints))
)
newPart.CFrame = newPart.CFrame * CFrame.Angles(rotationOffset.X, rotationOffset.Y, rotationOffset.Z)
1 Like
#2

Try using a loop like this:

local rotationStep = Vector3.new(
    math.rad(EndPart.Rotation.X / numPoints),
    math.rad(EndPart.Rotation.Y / numPoints),
    math.rad(EndPart.Rotation.Z / numPoints)
)

for i = 1, numPoints do
    local rotationOffset = Vector3.new(
        rotationStep.X * i,
        rotationStep.Y * i,
        rotationStep.Z * i
    )
    
    newPart.CFrame = newPart.CFrame * CFrame.Angles(rotationOffset.X, rotationOffset.Y, rotationOffset.Z)

end
1 Like
#3

Oh thank you, do you know how I can move this a little more to the middle. So that it is more straight at the beginning and end for the next rail:
image

#4

See if this does the trick

local rotationStep = Vector3.new(
    math.rad(EndPart.Rotation.X / numPoints),
    math.rad(EndPart.Rotation.Y / numPoints),
    math.rad(EndPart.Rotation.Z / numPoints)
)

for i = 1, numPoints do
    local t = math.sin(math.pi * (i - 1) / (numPoints - 1))

    local rotationOffset = Vector3.new(
        rotationStep.X * t,
        rotationStep.Y * t,
        rotationStep.Z * t
    )
    
    newPart.CFrame = newPart.CFrame * CFrame.Angles(rotationOffset.X, rotationOffset.Y, rotationOffset.Z)
end
#5

uhm

image
image774×250 45.6 KB

#6

Oh sorry, never mind that, read the question wrong.

#7

Is this 2 rails connected to each other?

#8

So it should rotate in the middle like this:

image
image997×196 58.4 KB

#9

So you want the other end to be like 90 degrees rotated compared to the beginning?

#10

No, that’s not what I mean, it has nothing to do with it, it’s just not supposed to rotate along the entire rail like this:

image
image804×241 40.3 KB

So that the rotation in the middle is strong so that such edges do not arise:
image

#11

Could you try this:

local rotationStep = Vector3.new(
    math.rad(EndPart.Rotation.X / numPoints),
    math.rad(EndPart.Rotation.Y / numPoints),
    math.rad(EndPart.Rotation.Z / numPoints)
)

for i = 1, numPoints do
    local progress = (i / numPoints) ^ 2

    local rotationOffset = Vector3.new(
        rotationStep.X * progress,
        rotationStep.Y * progress,
        rotationStep.Z * progress
    )
    
    newPart.CFrame = newPart.CFrame * CFrame.Angles(rotationOffset.X, rotationOffset.Y, rotationOffset.Z)
end
#12

Now is the Rotation at the End

image
image819×248 42.7 KB

#13

Hmmm, try a quadratic ease-out function

local rotationStep = Vector3.new(
    math.rad(EndPart.Rotation.X / numPoints),
    math.rad(EndPart.Rotation.Y / numPoints),
    math.rad(EndPart.Rotation.Z / numPoints)
)

for i = 1, numPoints do
    local t = i / numPoints  -- Normalized progress (0 to 1)
    local easeOutProgress = t * (2 - t)  -- Quadratic ease-out

    local rotationOffset = Vector3.new(
        rotationStep.X * easeOutProgress,
        rotationStep.Y * easeOutProgress,
        rotationStep.Z * easeOutProgress
    )
    
    newPart.CFrame = newPart.CFrame * CFrame.Angles(rotationOffset.X, rotationOffset.Y, rotationOffset.Z)
end
#14

I am not sure what else could get that done

#15

It’s a little better but still there are these edges at the beginning with a new rail afterwards :roll_eyes: