Custom Axis System - Help Required

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#1

Hi, I am trying to get a position of a point relevant to another position with a different axis system and I can’t make it work.

This is what I try to achieve: If the position of the block (let’s call it customAxisSystemOrigin) equals Vector3.new(1,2,3) and the orientation of the axis system (let’s call it customAxisSystemRotation) equals Vector3.new(0,0,0), and the offset/point in the axis system (let’s call it offset) equals Vector3.new(20,20,20), then the final point in the world space will be Vector3.new(21,22,23).

What I need is the way to calculate inWorldPoint using customAxisSystemOrigin,

customAxisSystemRotation and offset.

  • customAxisSystemOrigin is a Vector3 that represents the 0,0,0 point within the custom axis system
  • customAxisSystemRotation is a Vector3 that represents the normal of the custom axis system
  • offset is a Vector3 that represent a certain point on the custom axis system
  • inWorldPoint is a Vector3 that represents the translation of offset from object space (a point in the custom axis system) to world space (a point in the default axis system)

The way I get these variables is using a raycast. I send a ray from position RayOrigin to direction RayDirection that hits at position RayHitPosition at distance RayHitDistance.

I would really appreciate if someone can send me an algorithm or a function that uses these variables to calculate the result inWorldPoint.
Also if any other information like more variables or explanation about something from the above, feel free to ask.

#2

I’ve got it working using this function:

function ToRealPosition(CenterPart,Offset)
    local OrgP = CenterPart.Position
    CenterPart.CFrame = CenterPart.CFrame + CenterPart.CFrame.RightVector * Offset.X
    CenterPart.CFrame = CenterPart.CFrame + CenterPart.CFrame.UpVector * Offset.Y
    CenterPart.CFrame = CenterPart.CFrame + CenterPart.CFrame.LookVector * Offset.Z
    local Position = CenterPart.Position
    CenterPart.Position = OrgP
    return Position
end
--CenterPart is the part that has customAxisSystemOrigin and Orientation (Part)
--Offset is the point in the axis system (Vector3)