An acute triangulation of a polygon is a triangulation whose triangles have all their angles less than pi/2. The number of triangles in a triangulation is called the size of it. In this paper, we investigate acute triangulations of trapezoids and convex pentagons and prove new results about such triangulations with minimum size.This completes and improves in some cases the results obtained in two papers of Yuan (2010)
AbstractIt is shown that there exists a dihedral acute triangulation of the three-dimensional cube. ...
International audienceThe $n$-dimensional associahedron is a polytope whose vertices correspond to t...
summary:We define a proper triangulation to be a dissection of an integer sided equilateral triangle...
An acute triangulation of a polygon is a triangulation whose triangles have all their angles less th...
AbstractIn this paper we discuss acute triangulations of trapezoids. It is known that every rectangl...
An acute triangulation of a polygon is a triangulation whose triangles have all their angles less th...
AbstractWe prove that every n -gon can be triangulated into O(n) acute triangles. We also present a ...
In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We al...
AbstractLet Σ be a polyhedral surface in R3 with n edges. Let L be the length of the longest edge in...
AbstractIn this paper, we investigate the acute triangulations of the family of flat tori. We prove ...
AbstractIn this paper we consider geodesic triangulations of the surface of the regular dodecahedron...
It has recently been established by Below, De Loera, and Richter-Gebert that finding a minimum size ...
An acute triangulation of a polygon \u393 is a triangulation of \u393 into acute triangles. Let f (\...
An acute triangulation of a polygon \u393 is a triangulation of \u393 into acute triangles. Let f (\...
summary:We define a proper triangulation to be a dissection of an integer sided equilateral triangle...
AbstractIt is shown that there exists a dihedral acute triangulation of the three-dimensional cube. ...
International audienceThe $n$-dimensional associahedron is a polytope whose vertices correspond to t...
summary:We define a proper triangulation to be a dissection of an integer sided equilateral triangle...
An acute triangulation of a polygon is a triangulation whose triangles have all their angles less th...
AbstractIn this paper we discuss acute triangulations of trapezoids. It is known that every rectangl...
An acute triangulation of a polygon is a triangulation whose triangles have all their angles less th...
AbstractWe prove that every n -gon can be triangulated into O(n) acute triangles. We also present a ...
In this paper, we prove the existence of acute triangulations for general polyhedral surfaces. We al...
AbstractLet Σ be a polyhedral surface in R3 with n edges. Let L be the length of the longest edge in...
AbstractIn this paper, we investigate the acute triangulations of the family of flat tori. We prove ...
AbstractIn this paper we consider geodesic triangulations of the surface of the regular dodecahedron...
It has recently been established by Below, De Loera, and Richter-Gebert that finding a minimum size ...
An acute triangulation of a polygon \u393 is a triangulation of \u393 into acute triangles. Let f (\...
An acute triangulation of a polygon \u393 is a triangulation of \u393 into acute triangles. Let f (\...
summary:We define a proper triangulation to be a dissection of an integer sided equilateral triangle...
AbstractIt is shown that there exists a dihedral acute triangulation of the three-dimensional cube. ...
International audienceThe $n$-dimensional associahedron is a polytope whose vertices correspond to t...
summary:We define a proper triangulation to be a dissection of an integer sided equilateral triangle...
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