Abstract

Rotation matrices are one of the first topics covered in introductory graphics courses, and yet the details of arbitrary rotation matrices often get swept under the rug due to their complexity. This CGEM presents a direct, constructive derivation of the matrix for a rotation about an arbitrary axis, enhanced with animations that help build intuition for the calculation. The details of this derivation can be described in an intuitive manner that builds on the procedure for calculating the matrices for rotations about the coordinate axes. This treatment is suitable for use as a handout for students to use as a supplement to the usual course text.

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