Vertex-To-Self Trajectories on the Dodecahedron
Time and place
1:45 PM on Wednesday, June 19th, 2019; Marshak 418N
David Aulicino (Brooklyn College)
Abstract
Starting at a vertex of a Platonic solid, is it possible to walk on the surface of it in a straight line so that we return to the vertex we started at without passing through another? Surprisingly, the answer depends on which Platonic solid we consider. We will review what the Platonic solids are and explain how to solve this problem for the tetrahedron. There will be lots of pictures, animations, and 3D models. Students are encouraged to bring scissors and tape!
