On 1/7/2019 9:42 AM, Maurice van Peursem wrote:
Is there an easy way to get the new coordinates of a point after a few
rotations and translations?
Simple answer: No.
More complex answer: You can generate the matrices yourself and
multiply them out.
The documentation for multmatrix() is helpful in generating the
matrices:
https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#multmatrix
The Wikipedia article is pretty technical but looks to have a good set
of patterns: https://en.wikipedia.org/wiki/Transformation_matrix
Capsule summary: Every transformation is equivalent to a particular 4x4
matrix. Multiplying the point by the transformation matrix yields the
transformed point. Multiplying several transformation matrices together
yields a transformation matrix that represents all of the
transformations. OpenSCAD does matrix multiplication natively; you can
just say "p*tm" where p is a point as an [x,y,z] vector and tm is a
transformation matrix, and OpenSCAD will do the right thing and yield a
new point.