The 正十六胞體 is one of the regular polytopes in four dimensions.

The 正六百胞體 is one of the regular polytopes in four dimensions.

We need to think about this problem in multiple dimensions.

His answer was confirmed to be correct.

The 正百二十胞體 is one of the regular polytopes in four dimensions.

He is known as a person with learning.

We are all part of the same brethren.

Riemannian geometry is a field of mathematics that studies geometric objects such as curves and surfaces.

He is an expert in topology.

He is an expert in algebraic geometry.