133 citations · 793 across the 25 of their papers we have counts for
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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…
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…
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…
Volumes of polytopes in spaces of constant curvature
Nikolay Abrosimov, Alexander Mednykh
We overview the volume calculations for polyhedra in Euclidean, spherical and hyperbolic spaces. We prove the Sforza formula for the volume of an arbitrary tetrahedron in and…