# 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.