From the 3 points on the first plane you can determine its equation. Ditto, for the three mapped point on the second plane.

With the equations of both planes, you can determine the line where they intersect (assuming they are not parallel).

That line forms the axis of rotation; and the angle between the planes, the angle of rotation. You know have all the information required to build the matrix for the affine transformation that you can then apply to the rest of the points in the original plane to map them to their new positions.

Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
RIP PCW

In reply to Re: (OT) moving points from one plane to another by BrowserUk
in thread (OT) moving points from one plane to another by merrymonk

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