Graphical projections

Planar projection

Planar projections are the subset of 3D graphical projections constructed by linearly mapping points in three-dimensional space to points on a two-dimensional projection plane. The projected point on the plane is chosen such that it is collinear with the corresponding three-dimensional point and the centre of projection. The lines connecting these points are commonly referred to as projectors. The centre of projection can be thought of as the location of the observer, while the plane of projection is the surface on which the two dimensional projected image of the scene is recorded or from which it is viewed (e.g., photographic negative, photographic print, computer monitor). When the centre of projection is at a finite distance from the projection plane, a perspective projection is obtained. When the centre of projection is at infinity, all the projectors are parallel, and the corresponding subset of planar projections are referred to as parallel projections. (Wikipedia).

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Planar graphs

Planar graphs, What are planar graphs? In this video we take a look at what a planar graph is and how Mathematica can check to see if a graph is planar. In short, a planar graph is one that can be drawn in the plane such that no edges cross. If you want to learn more about Mathematica,

From playlist Introducing graph theory

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Graph Theory: 57. Planar Graphs

A planar graph is a graph that can be drawn in the plane without any edge crossings. Such a drawing (with no edge crossings) is called a plane graph. A given plane graph divides the plane into regions and each region has a boundary that outlines it. We look at some examples and also giv

From playlist Graph Theory part-10

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Regions In A Planar Graph - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Angle and Segment Bisector Constructions

I give you the steps and demonstrations on how to construct a perpendicular bisector of a segment and an angle bisector with a compass and a straight edge. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look f

From playlist Geometry

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Planar Graphs - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

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Introduction to Planar Graphs and Euler's Formula

This video introduces planar graphs and Euler's formula. http://mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Nina Holden: Random triangulations and bijectivepaths to Liouville quantum gravity

CIRM HYBRID EVENT Recorded during the meeting "Lattice Paths, Combinatorics and Interactions" the June 25, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Recanzone Find this video and other talks given by worldwide mathematicians on CIR

From playlist Probability and Statistics

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Cardy embedding of random planar maps - Nina Holden

Analysis - Mathematical Physics Topic: Cardy embedding of random planar maps Speaker: Nina Holden Affiliation: ETH Zuerich Date: December 6, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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On the spatial restricted three-body problem - Agustin Moreno

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: On the spatial restricted three-body problem Speaker: Agustin Moreno Affiliation: Uppsala University Date: June 18, 2021 In his search for closed orbits in the planar restricted three-body problem, Poincaré’s approac

From playlist Mathematics

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Projection of vectors

What is the projection of one vector on another one and how is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/CpZUX1mFLS

From playlist Introduction to Vectors

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A (slightly less) brief look into the restricted 3-body problem - Agustin Moreno

Members’ Colloquium Topic: A (slightly less) brief look into the restricted 3-body problem Speaker: Agustin Moreno Affiliation: Member, School of Mathematics Date: October 25, 2021 Despite the fact that the 3-body problem is an ancient conundrum that goes back to Newton, it is remarkabl

From playlist Members’ Colloquium

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[DEMONSTRATION] - Two-Dimensional Colliding Pendulums

Two identical billiard-ball pendulums touch side-by-side in equilibrium. The balls are pulled aside a small amount in the transverse direction, and one ball is given a velocity directly toward the other ball, which is initially at rest. Repeated collisions occur, where one ball undergoes u

From playlist Physics Demonstrations

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How To Model Articulated Action Figurine For 3D Printing | Session 05 | #gamedev

Don’t forget to subscribe! In this project series, you will learn how to model articulated action figurines for 3D printing. In this tutorial, we will be designing Futurama's Bender articulated figurine for 3D printing. It will have fully articulated arms and legs (these will utilize mu

From playlist Model Articulated Action Figurine For 3D Printing

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Introduction Polyhedra Using Euler's Formula

This video introduces polyhedra and how every convex polyhedron can be represented as a planar graph. mathispower4u.com

From playlist Graph Theory (Discrete Math)

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Determine if a set of points is a parallelogram using the distance formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Perpendicular Bisector of a Line Segment and Triangle

This geometry video tutorial provides a basic introduction into the perpendicular bisector of a line segment and a triangle. it discusses the perpendicular bisector theorem and the definition of perpendicular bisectors in addition to how to use them in a geometry two column proof problem

From playlist Geometry Video Playlist

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Hierarchies of contact manifolds via rational SFT - Zhengyi Zhou

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Hierarchies of contact manifolds via rational SFT Speaker: Zhengyi Zhou Affiliation: Member, School of Mathematics Date: December 11, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Related pages

Shear mapping | Linear map | Perspective (graphical) | Translation (geometry) | Line (geometry) | Three-dimensional space | Function composition | Rotation (mathematics) | 3D projection | Plane (geometry) | Orthographic projection | Projective transformation