# Touching the $Z_2$ in Three-Dimensional Rotations

by Vesna Stojanoska and Orlin Stoytchev

Award: Carl B. Allendoerfer

Year of Award: 2009

Publication Information:Mathematics Magazine, vol. 81, no. 5, December 2008, pp. 345-357

Summary: If we compose two nontrivial complete rotations, the resulting motion can always be deformed to the null motion. This paper gives a mathematical formulation of this non-obvious geometric property.