noneFor n points in a square of side length one, find the three points that make the triangle with minimal area. Finding the placement of n points that produces the largest such triangle is known as the Heilbronn triangle problem. The point placements within this Demonstration are the best known. Minimal triangles are colored red. All solutions above 12 points are due to Mark Beyleveld and David Cantrell, with optimization and exact solutions found by MathematicaComponente Curricular::Ensino Fundamental::Séries Finais::Matemátic
AbstractArrangements of lines in the plane and algorithms for computing extreme features of arrangem...
AbstractFor given integers d,j≥2 and any positive integers n, distributions of n points in the d-dim...
In this paper we study the following problem: we are given a set of imprecise points modeled as para...
Heilbronn conjectured that given arbitrary n points form R"2, located in the unit square (or ci...
Heilbronn's triangle problem asks for the least \Delta such that n points lying in the unit dis...
From among (n/3) triangles with vertices chosen from n points in the unit square, let T be the one w...
Ensino Médio::MatemáticaThe general Heilbronn problem finds maxima for points in unit objects. In th...
Ensino Médio::MatemáticaThe general Heilbronn problem finds maxima for points in unit objects. In th...
AbstractWe consider a variant of Heilbronn's triangle problem by asking for a distribution of n poin...
AbstractGiven 3n points in the unit square, n ⩾ 2, they determine n triangles whose vertices exhaust...
From among � � n triangles with vertices chosen from n points in the unit square, 3 let T be the on...
AbstractLet F be a convex figure with area |F| and let G(n,F) denote the smallest number such that f...
AbstractFor given integers d,j≥2 and any positive integers n, distributions of n points in the d-dim...
AbstractGiven 3n points in the unit square, n ⩾ 2, they determine n triangles whose vertices exhaust...
L inkedIn triangles that share a given circle as incircle, which one has the smallest perimeter? rea...
AbstractArrangements of lines in the plane and algorithms for computing extreme features of arrangem...
AbstractFor given integers d,j≥2 and any positive integers n, distributions of n points in the d-dim...
In this paper we study the following problem: we are given a set of imprecise points modeled as para...
Heilbronn conjectured that given arbitrary n points form R"2, located in the unit square (or ci...
Heilbronn's triangle problem asks for the least \Delta such that n points lying in the unit dis...
From among (n/3) triangles with vertices chosen from n points in the unit square, let T be the one w...
Ensino Médio::MatemáticaThe general Heilbronn problem finds maxima for points in unit objects. In th...
Ensino Médio::MatemáticaThe general Heilbronn problem finds maxima for points in unit objects. In th...
AbstractWe consider a variant of Heilbronn's triangle problem by asking for a distribution of n poin...
AbstractGiven 3n points in the unit square, n ⩾ 2, they determine n triangles whose vertices exhaust...
From among � � n triangles with vertices chosen from n points in the unit square, 3 let T be the on...
AbstractLet F be a convex figure with area |F| and let G(n,F) denote the smallest number such that f...
AbstractFor given integers d,j≥2 and any positive integers n, distributions of n points in the d-dim...
AbstractGiven 3n points in the unit square, n ⩾ 2, they determine n triangles whose vertices exhaust...
L inkedIn triangles that share a given circle as incircle, which one has the smallest perimeter? rea...
AbstractArrangements of lines in the plane and algorithms for computing extreme features of arrangem...
AbstractFor given integers d,j≥2 and any positive integers n, distributions of n points in the d-dim...
In this paper we study the following problem: we are given a set of imprecise points modeled as para...