What is the most efficient way to fence land when you’ve only got so many metres of fence? Or, to put it differently, what is the largest area bounded by a simple closed planar curve of fixed length? We consider the answer to this question and others like it, making note of recent results in the same spirit
Throughout this paper, I shall show why a circle has the minimum perimeter for a given area, using t...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
Given a number P, we study the following three isoperimetric problems introduced by Besicovitch in 1...
The Isoperimetric Theorem states that for a planar region of given perimeter, the circle encloses th...
AbstractIn the plane, the way to enclose the most area with a given perimeter and to use the shortes...
Abstract. We give a sharp lower bound on the area of a domain that can be enclosed by a closed embed...
. Necessary conditions of optimality are presented for a polynomial isoperimetric problem on a plane...
Historically, many maxima and minima were found long before Newton and Leibniz developed calculus. I...
Abstract. We prove a long standing conjecture concerning the fencing problem in the plane: among pla...
As it is well-known, the classical isoperimetric problem on the plane claims to find a simple closur...
Historically, many maxima and minima were found long before Newton and Leibniz developed calculus. I...
Abstract. We show that the elastic energy E(γ) of a closed curve γ has a minimizer among all plane s...
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex...
The isoperimetric inequality says that the area of any region in the plane bounded by a curve of a f...
Throughout this paper, I shall show why a circle has the minimum perimeter for a given area, using t...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
Given a number P, we study the following three isoperimetric problems introduced by Besicovitch in 1...
The Isoperimetric Theorem states that for a planar region of given perimeter, the circle encloses th...
AbstractIn the plane, the way to enclose the most area with a given perimeter and to use the shortes...
Abstract. We give a sharp lower bound on the area of a domain that can be enclosed by a closed embed...
. Necessary conditions of optimality are presented for a polynomial isoperimetric problem on a plane...
Historically, many maxima and minima were found long before Newton and Leibniz developed calculus. I...
Abstract. We prove a long standing conjecture concerning the fencing problem in the plane: among pla...
As it is well-known, the classical isoperimetric problem on the plane claims to find a simple closur...
Historically, many maxima and minima were found long before Newton and Leibniz developed calculus. I...
Abstract. We show that the elastic energy E(γ) of a closed curve γ has a minimizer among all plane s...
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex...
The isoperimetric inequality says that the area of any region in the plane bounded by a curve of a f...
Throughout this paper, I shall show why a circle has the minimum perimeter for a given area, using t...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
We consider very natural "fence enclosure" problems studied by Capoyleas, Rote, and Woeginger and Ar...
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