Invitations, in an educational vein, to problem solving, ideas and their history, biographical snapshots, visuals, classroom capsules, undergraduate research ideas, recreations, experiments, arts and poetry, philosophical and foundational matters and connections.
Wednesday, April 15, 2009
Rotations and translations revisited
Bowling Green, April 3 - "Rotations and translations revisited" (contributed talk, 2009 Ohio MAA Spring Meeting). ABSTRACT: "By using a series of elementary plane geometry problems, we will illustrate the general result stating that the composition of a number of plane rotations of angles adding up to an integer multiple of 2*pi is a plane translation. We will discuss the case of collinear rotation centers, the case in which the rotation centers form a regular polygon, a general connection with discrete Fourier transforms, and also a limit case in which the number of rotation centers goes to infinity."