3 papers
math.MG2021
The volume of a spherical antiprism
Nikolay Abrosimov, Bao Vuong
We consider a spherical antiprism. It is a convex polyhedron with vertices in the spherical space . This polyhedron has a group of symmetries generated…
math.MG2021
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths
Nikolay Abrosimov, Bao Vuong
We consider a compact hyperbolic tetrahedron of a general type. It is a convex hull of four points called vertices in the hyperbolic space . It can be determined by t…
math.MG2018
The volume of a compact hyperbolic antiprism
Nikolay Abrosimov, Bao Vuong
We consider a compact hyperbolic antiprism. It is a convex polyhedron with vertices in the hyperbolic space . This polyhedron has a symmetry group gener…