Visualizing Riemann surfaces, Teichmuller spaces, and transformation groups on hyperbolic manifolds using real time interactive computer animator (RTICA) graphics

arsia and Ruedy established the existence of conformal embeddings of all Riemann surfaces into ;We present graphic tools of independent interest to geometers. The real-time interactive computer animators (sc RTICA) which incorporate these tools and which produce animated illustrations are described. In particular, we have sc RTICA that illustrate a Bishop and Frenet frame integrator and that illustrate the fundamental polyhedra in hyperbolic 3-space described by Jorgensen.;The production and presentation of sc RTICA are described as are the techniques for generating pic and Mathematica illustrations to be embedded into...