In this paper, explicit integral volume formulas for arbitrary compact hyperbolic octahedra with mm2-symmetry are obtained in terms of dihedral angles. Also, we provide an algorithm to compute the volume of such octahedra in spherical spaces. © 2019, Springer Science+Business Media, LLC, part of Springer Nature
The volume of hyperbolic simplicies plays an important role in the investigation of the volume of hy...
AbstractA formula for the volume of a tetrahedron in terms of the length of edges is given. It may b...
Truncated tetrahedra are the fundamental building blocks of hyperbolic 3-manifolds with geodesic bou...
In the present paper from Derevnin–Mednykh’s formula we obtain integral formulas for the volume of a...
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tet...
We propose a new approach to the problem of calculations of volumes in the Lobachevsky space, and we...
In this thesis, we study the isoperimetric problem for octahedra. By Lindelof-Minkowski's theorem, ...
This paper collects some important formulas on hyperbolic volume. To determine con-crete values of v...
Non UBCUnreviewedAuthor affiliation: Sobolev Institute of MathematicsPostdoctora
In the study of n-dimensional spherical or hyperbolic geometry, n >= 3, the volume of various obj...
This paper focuses on the investigation of volumes of large Coxeter hyperbolic polyhedron. First, th...
We present an explicit formula for calculating the volume of an arbitrary hyperbolic 4-simplex in te...
In the study of n-dimensional spherical or hyperbolic geometry, n >= 3, the volume of various object...
Abstract. We give a proof of the monotonicity of the volume of nonobtuse-angled compact convex polyh...
AbstractIn this paper, a volume formula for hyperbolic tetrahedra with one vertex at infinity is der...
The volume of hyperbolic simplicies plays an important role in the investigation of the volume of hy...
AbstractA formula for the volume of a tetrahedron in terms of the length of edges is given. It may b...
Truncated tetrahedra are the fundamental building blocks of hyperbolic 3-manifolds with geodesic bou...
In the present paper from Derevnin–Mednykh’s formula we obtain integral formulas for the volume of a...
In this paper, we derive the Derevnin–Mednykh integral expression for the volume of a hyperbolic tet...
We propose a new approach to the problem of calculations of volumes in the Lobachevsky space, and we...
In this thesis, we study the isoperimetric problem for octahedra. By Lindelof-Minkowski's theorem, ...
This paper collects some important formulas on hyperbolic volume. To determine con-crete values of v...
Non UBCUnreviewedAuthor affiliation: Sobolev Institute of MathematicsPostdoctora
In the study of n-dimensional spherical or hyperbolic geometry, n >= 3, the volume of various obj...
This paper focuses on the investigation of volumes of large Coxeter hyperbolic polyhedron. First, th...
We present an explicit formula for calculating the volume of an arbitrary hyperbolic 4-simplex in te...
In the study of n-dimensional spherical or hyperbolic geometry, n >= 3, the volume of various object...
Abstract. We give a proof of the monotonicity of the volume of nonobtuse-angled compact convex polyh...
AbstractIn this paper, a volume formula for hyperbolic tetrahedra with one vertex at infinity is der...
The volume of hyperbolic simplicies plays an important role in the investigation of the volume of hy...
AbstractA formula for the volume of a tetrahedron in terms of the length of edges is given. It may b...
Truncated tetrahedra are the fundamental building blocks of hyperbolic 3-manifolds with geodesic bou...
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