Convex 3-polytopes whose faces are equilateral or isosceles triangles

Joseph Malkevitch, York College/CUNY and CUNY Graduate Center (Emeritus)

Date and time: 6pm, Tuesday, October 16, 2018

Place: Courant Institute, WWH1314

It is known that there are exactly 8 convex 3-dimensional polyhedra whose faces are equilateral triangles. What about realizations by convex 3-dimensional polyhedra of plane triangulations with faces that are isosceles or equilateral triangles? This talk will look at combinatorial problems related to isosceles/equilateral colorings of triangulations and their geometric realizations by convex polyhedra.