Add to ORKGConsider the following question: In a circular cone, with the sum of the radius of the base circle and the length of the bus line being 1, the inscribed sphere is to be maximal. How much is the radius of the base circle? It is easy to see that the answer is 1/3, which is geometrically interpreted as follows: Consider the section of a cone by a plane which contains the apex and is perpendicular to the base circle. Then the answer corresponds to the case that the section is an equilateral triangle. In this paper, we generalize the question to the case that the base circle is generalized to regular polygons
Max cones are max-algebraic analogs of convex cones. In the present paper we develop a theory of gen...
This Article is brought to you for free and open access by the Mathematics at UKnowledge. It has bee...
Weighted cone-volume functionals are introduced for the convex polytopes in $\mathbb{R}^n$. For thes...
Consider the following question: In a circular cone, with bus line having length 1, the inscribed sp...
AbstractConsider a polygon P and all neighboring circles (circles going through three consecutive ve...
The works elucidates the extremum areas of the polygons circumscribing parabolic figures. It is show...
International audienceWe study balls of homogeneous cubics on Rn, n=2,3, which are bounded by unity ...
In this paper, we consider the problem of computing a max-imum inscribed sphere inside a high dimens...
Abstract. In this paper we investigate the extremal properties of the sum n∑ i=1 |MAi|λ, where Ai ar...
In this article, we prove several theorems about the radical center and the radical circle of ex-ins...
Ab s t r a c t: The maximally regular division of the spherical surface into a set of domains is con...
Abstract. The question of how many regular unit tetrahedra with a vertex at the origin can be packed...
The principal problem is to find optimal or nearly optimal $N$-tuples of nodes for Chebyshev quadrat...
Artículo de publicación ISILet S be a set of 2n points on a circle such that for each point p∈S also...
If you circumscribe a triangle about the unit circle, then a circle about that triangle, then a squa...
Max cones are max-algebraic analogs of convex cones. In the present paper we develop a theory of gen...
This Article is brought to you for free and open access by the Mathematics at UKnowledge. It has bee...
Weighted cone-volume functionals are introduced for the convex polytopes in $\mathbb{R}^n$. For thes...
Consider the following question: In a circular cone, with bus line having length 1, the inscribed sp...
AbstractConsider a polygon P and all neighboring circles (circles going through three consecutive ve...
The works elucidates the extremum areas of the polygons circumscribing parabolic figures. It is show...
International audienceWe study balls of homogeneous cubics on Rn, n=2,3, which are bounded by unity ...
In this paper, we consider the problem of computing a max-imum inscribed sphere inside a high dimens...
Abstract. In this paper we investigate the extremal properties of the sum n∑ i=1 |MAi|λ, where Ai ar...
In this article, we prove several theorems about the radical center and the radical circle of ex-ins...
Ab s t r a c t: The maximally regular division of the spherical surface into a set of domains is con...
Abstract. The question of how many regular unit tetrahedra with a vertex at the origin can be packed...
The principal problem is to find optimal or nearly optimal $N$-tuples of nodes for Chebyshev quadrat...
Artículo de publicación ISILet S be a set of 2n points on a circle such that for each point p∈S also...
If you circumscribe a triangle about the unit circle, then a circle about that triangle, then a squa...
Max cones are max-algebraic analogs of convex cones. In the present paper we develop a theory of gen...
This Article is brought to you for free and open access by the Mathematics at UKnowledge. It has bee...
Weighted cone-volume functionals are introduced for the convex polytopes in $\mathbb{R}^n$. For thes...