Euclidean plane isometry

Isometry groups of the projective line (II) | Rational Geometry Math Foundations 139 | NJ Wildberger

In this video we show that the algebraic approach to the metrical structure of the projective line, including the group of isometries including rotations and reflections, can all be defined and studied over a finite field. This is quite a remarkable fact. It leads us to think that perhaps

From playlist Math Foundations

Isometry groups of the projective line (I) | Rational Geometry Math Foundations 138 | NJ Wildberger

The projective line can be given a Euclidean structure, just as the affine line can, but it is a bit more complicated. The algebraic structure of this projective line supports some symmetries. Symmetry in mathematics is often most efficiently encoded with the idea of a group--a technical t

From playlist Math Foundations

Isometry groups of the projective line III | Rational Geometry Math Foundations 140 | NJ Wildberger

We extend our discussion of elementary metrical projective geometry in one dimension to incorporate Einstein's special theory of relativity. This remarkable new understanding of Einstein transformed much of 20th century physics, but its effect on pure mathematics has been surprisingly mode

From playlist Math Foundations

The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

Introduction to Projective Geometry (Part 1)

The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.

From playlist Introduction to Projective Geometry

Geometry: Introduction to Triangles - Isosceles Triangle, Scalene Triangle, and more

A quick introduction to triangles. Triangles can be described by the lengths of their sides (equilateral, isosceles, and scalene) or by the sizes of their angles (acute angles, right angles, and obtuse angles). To learn more Geometry, you can watch our playlist from the beginning: https

From playlist Euclidean Geometry

Coding Math: Episode 41 - Isometric 3D Part I

Today we start a new series exploring how to create an isometric 3D world.

From playlist Episodes

What are collinear points

👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Examples of non-positively curved groups II - Kim Ruane

Women and Mathematics Title: Examples of non-positively curved groups II Speaker: Kim Ruane Affiliation: Tufts University Date: May 24, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Hyperbolic geometry, Fuchsian groups and moduli spaces (Lecture 1) by Subhojoy Gupta

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi

From playlist Geometry and Topology for Lecturers

Anna Wienhard - 1/2 Hyperbolic Structures on Surface

From playlist Summer School 2019: Aspects of Geometric Group Theory

Constructing group actions on quasi-trees – Koji Fujiwara – ICM2018

Topology Invited Lecture 6.12 Constructing group actions on quasi-trees Koji Fujiwara Abstract: A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary hype

From playlist Topology

The Seven Circles Theorem

This video is based on a paper by Drach and Schwartz. Drach, K., Schwartz, R.E. A Hyperbolic View of the Seven Circles Theorem. Math Intelligencer 42, 61–65 (2020). https://doi.org/10.1007/s00283-019-09952-1 You can read a preprint of the paper here: https://arxiv.org/pdf/1911.00161.pdf

From playlist Summer of Math Exposition 2 videos

C. Leininger - Teichmüller spaces and pseudo-Anosov homeomorphism (Part 1)

I will start by describing the Teichmuller space of a surface of finite type from the perspective of both hyperbolic and complex structures and the action of the mapping class group on it. Then I will describe Thurston's compactification of Teichmuller space, and state his classification

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

GAME2020 0. Steven De Keninck. Dual Quaternions Demystified

My GAME2020 talk on PGA as an algebra for the Euclidean group. Follow up on my SIGGRAPH 2019 talk : https://youtube.com/watch?v=tX4H_ctggYo More info on https://bivector.net

From playlist Bivector.net

Lecture 15: Isometries, Rigidity, and Curvature

CS 468: Differential Geometry for Computer Science

From playlist Stanford: Differential Geometry for Computer Science (CosmoLearning Computer Science)

Determining the Distance Between a Plane and a Point

http://mathispower4u.yolasite.com/

From playlist Equations of Planes and Lines in Space

Topology, Geometry and Life in Three Dimensions - with Caroline Series

If you imagine a three dimensional maze from which there is no escape, how can you map it? Is there a way to describe what all possible mazes look like, and how do mathematicians set about investigating them? Subscribe for regular science videos: http://bit.ly/RiSubscRibe Caroline Series

From playlist Mathematics

AlgTop20: The geometry of surfaces

This lecture relates the two dimensional surfaces we have just classified with the three classical geometries- Euclidean, spherical and hyperbolic. Our approach to these geometries is non-standard (the usual formulations are in fact deeply flawed) and we concentrate on isometries, avoiding

From playlist Algebraic Topology: a beginner's course - N J Wildberger

23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra