Bicycle Curves

  title={Bicycle Curves},
  author={Van Cyr},
In this paper we examine bicycle curves from the point of view of Fourier series. We analyze necessary and sufficient conditions for a circle to admit an infinitesimal deformation as a bicycle curve with rotation number ρ and derive conditions equivalent to those obtained by Tabachnikov. We then show that whenever ρ ∈ Q is not 1 2 , that there is no such… CONTINUE READING