Is it true, that through every interior point of 3-dimensional convex body comes planar section with inscribed regular hexagon, and through the center of 3-dimensional centrally-symmetric convex body comes planar section with inscribed regular octagon? In paper this is proved for cylinders of special type. Refs 4
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to refle...
It has been shown that the three-circles theorem, which is also known as Titeica's or Johnson's theo...
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections o...
AbstractIn his book “Geometric Tomography” Richard Gardner asks the following question. Let P and Q ...
In (1) Dvoretsky proved, using very ingenious methods, that every centrally symmetric convex body of...
International audienceWe prove that in small codimensions, the sections of a convex body in R^n thro...
In this paper, we prove that any polygon P in R 2 containing a fixed smooth, strictly convex and ori...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. We study convex polyhedra in three-space that are inscribed in a quadric surface. Up to pr...
Please cite this article in press as: A. Cañete et al., Trisections of a 3-rotationally symmetri
Abstract. We present generalizations of the Busemann-Petty problem for dual volumes of intermediate ...
We study convex polyhedra in three-space that are inscribed in a quadric surface. Up to projective t...
AbstractWe present generalizations of the Busemann–Petty problem for dual volumes of intermediate ce...
AbstractNew definitions of a star body and its radial function are given. These are used in studying...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to refle...
It has been shown that the three-circles theorem, which is also known as Titeica's or Johnson's theo...
We present a method which shows that in E3 the Busemann-Petty problem, concerning central sections o...
AbstractIn his book “Geometric Tomography” Richard Gardner asks the following question. Let P and Q ...
In (1) Dvoretsky proved, using very ingenious methods, that every centrally symmetric convex body of...
International audienceWe prove that in small codimensions, the sections of a convex body in R^n thro...
In this paper, we prove that any polygon P in R 2 containing a fixed smooth, strictly convex and ori...
International audienceIt is shown that the cross-section body of a convex body K subset of R-3, that...
Abstract. We study convex polyhedra in three-space that are inscribed in a quadric surface. Up to pr...
Please cite this article in press as: A. Cañete et al., Trisections of a 3-rotationally symmetri
Abstract. We present generalizations of the Busemann-Petty problem for dual volumes of intermediate ...
We study convex polyhedra in three-space that are inscribed in a quadric surface. Up to projective t...
AbstractWe present generalizations of the Busemann–Petty problem for dual volumes of intermediate ce...
AbstractNew definitions of a star body and its radial function are given. These are used in studying...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
Gardner and Golubyatnikov asked whether two continuous functions on the sphere coincide up to refle...
It has been shown that the three-circles theorem, which is also known as Titeica's or Johnson's theo...
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