Rotation of a Rotation (2)
- Author:
- Mark Sawula
In the figure below, the black R was rotated by angle alpha around Rotocenter1 (purple). The image of that rotation (the purple R) was then rotated by angle beta around Rotocenter2 (cyan) .
- Can a rotation of a rotation be a translation? Adjust the angles of rotation, the rotocenters, and the red vector, so that the red R coincides with the cyan R.
- What is the relationship among the angles of rotation in this case? Change the values of all three angles to confirm your conjecture.
- Can a rotation of a rotation be a 'do nothing'? Adjust the angles of rotation, the rotocenters, and the red vector, so that the cyan R coincides with the black R.
- What is the relationship among the angles of rotation when the composition is a 'do nothing'? Change the values of both angles to confirm your conjecture.