In computational geometry, a Pitteway triangulation is a point set triangulation in which the nearest neighbor of any point p within the triangulation is one of the vertices of the triangle containing p.Alternatively, it is a Delaunay triangulation in which each internal edge crosses its dual Voronoi diagram edge. Pitteway triangulations are named after Michael Pitteway, who studied them in 1973. Not every point set supports a Pitteway triangulation. When such a triangulation exists it is a special case of the Delaunay triangulation, and consists of the union of the Gabriel graph and convex hull. (Wikipedia).
Adding Vectors Geometrically: Dynamic Illustration
Link: https://www.geogebra.org/m/tsBer5An
From playlist Trigonometry: Dynamic Interactives!
Images in Math - Polygon Triangulations
This video is about triangulations of polygons.
From playlist Images in Math
In this video, I give a gentle introduction to trigonometry, which is a nice way of relating the angles with a triangle with its sides. Precalculus Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmCu_c0TUXwG6UjkV844_uVl Subscribe to my channel: https://youtube.com/drpeyam Check ou
From playlist Precalculus
Trigonometry and Bearings: Quick Setups
#Trigonometry & #bearings: Set ups. Quick formative assessment: http://ow.ly/BMYe50I7kVs & http://ow.ly/p1JR50I7kVw. #GeoGebra
From playlist Trigonometry: Dynamic Interactives!
Trigonometry 8 The Tangent and Cotangent of the Sum and Difference of Two Angles.mov
Derive the tangent and cotangent trigonometric identities.
From playlist Trigonometry
Projection of One Vector onto Another Vector
Link: https://www.geogebra.org/m/wjG2RjjZ
From playlist Trigonometry: Dynamic Interactives!
Arctan(1) + Arctan(2) + Arctan(3) = π
From playlist Trigonometry TikToks
From playlist Trigonometry TikToks
Navigating Intrinsic Triangulations - SIGGRAPH 2019
Navigating Intrinsic Triangulations. Nicholas Sharp, Yousuf Soliman, and Keenan Crane. ACM Trans. on Graph. (2019) http://www.cs.cmu.edu/~kmcrane/Projects/NavigatingIntrinsicTriangulations/paper.pdf We present a data structure that makes it easy to run a large class of algorithms from co
From playlist Research
Petar Pavešić (9/1/21): Category weight estimates of minimal triangulations
When one applies computational methods to study a specific manifold or a polyhedron it is often convenient to have as small triangulation of it as possible. However there are certain limitations on the size of a triangulation, depending on the complexity of the space under scrutiny. The de
From playlist AATRN 2021
Tejas Kalelkar: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations
Tejas Kalelkar, Indian Institute of Science Education and Research Pune Title: An Algorithm to Identify Hyperbolic Manifolds from Their Geometric Triangulations Abstract: A geometric triangulation of a Riemannian manifold is a triangulation by totally geodesic simplexes. Any two triangulat
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Barbara Nimershiem: Geometric Triangulations of a Family of Hyperbolic 3-Braids
Barbara Nimershiem, Franklin & Marshall College Title: Geometric Triangulations of a Family of Hyperbolic 3-Braids We construct topological triangulations for complements of $(-2, 3, n)$-pretzel knots and links with $n \geq 7$. Following a procedure outlined by Futer and Gueritaud, we use
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Boris Springborn: Discrete Uniformization and Ideal Hyperbolic Polyhedra
CATS 2021 Online Seminar Boris Springborn, Technical University of Berlin Abstract: This talk will be about two seemingly unrelated problems: 00:46:00 A discrete version of the uniformization problem for piecewise flat surfaces, and 00:35:48 Constructing ideal hyperbolic polyhedra with p
From playlist Computational & Algorithmic Topology (CATS 2021)
Rigidity of the hexagonal triangulation of the plane and its applications - Feng Luo
Feng Luo, Rutgers October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic year
From playlist Workshop on Geometric Structures on 3-Manifolds
Veering Dehn surgery - Saul Schleimer
Geometric Structures on 3-manifolds Topic: Veering Dehn surgery Speaker: Saul Schleimer Date: Tuesday, April 12 (Joint with Henry Segerman.) It is a theorem of Moise that every three-manifold admits a triangulation, and thus infinitely many. Thus, it can be difficult to learn anything
From playlist Mathematics
Kristof Huszar: On the Pathwidth of Hyperbolic 3-Manifolds
Kristof Huszar, Inria Sophia Antipolis - Mediterranee, France Title: On the Pathwidth of Hyperbolic 3-Manifolds Abstract: In recent years there has been an emergence of fixed-parameter tractable (FPT) algorithms that efficiently solve hard problems for triangulated 3-manifolds as soon as t
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
The general rational laws of trigonometry | WildTrig: Intro to Rational Trigonometry
We establish the laws of rational trigonometry in the very general planar setting of having a general bilinear form which determines the notions of quadrance and spread. Pleasantly the laws of RT are still the familiar ones, but the interest is in seeing just how elegantly and simply these
From playlist WildTrig: Intro to Rational Trigonometry
Periodic Foams and Manifolds - Frank Lutz
Frank Lutz Technische Universitat Berlin March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu
From playlist Mathematics