A general Calabi-Yau quintic hypersurface has exactly 2875 lines on it. However, a general member of the Dwork pencil of such hypersurfaces contains two one-dimensional families of lines, the fact discovered by A. Mustata in her thesis. Following the work of P. Candelas, X. de la Ossa, B. van Geemen, D. van Straten, as well as the work of D. Zagier, I will discuss the geometry of these families of lines that turn out to be the covers of degree 125 of the members of the famous Wiman-Edge pencil of curves of genus 6 with the icosahedron group of symmetries. Speaker(s): Igor Dolgachev (UM)