H. S. M. COXETER – THREE DIMENSIONS DO NOT SUFFICE

As topology further developed and abstract algebra improved, three dimensional objects did not satisfy geometers, and they started defining fictitious objects in higher dimensions. After polygons of two dimension and polyhedra of three dimensions, a general term for all dimensions was defined: polytopes.

Harold Scott Macdonald Coxeter (1907 - 2003) is the dominant matematician working on polyhedra in 20^th century. His foundations in geometry are still being studied widely. He has lots of contributions to the new barnch of geometry: polytopes. He is also known for his work on non-Eulidean geometries.