4-polytopes

Point groups in four dimensions

In geometry, a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group of a 3-sphere. (Wikipedia).

Point groups in four dimensions
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Points, Lines, and Planes

http://mathispower4u.wordpress.com/

From playlist Geometry Basics

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Drawing the 4th, 5th, 6th, and 7th dimension

How to draw 4, 5, 6, and 7 dimensional objects.

From playlist Physics

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Geometry: Ch 4 - Geometric Figures (1 of 18) Squares and Rectangles

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the square and rectangle, explain the equations of their parameters, areas, and diagonals. Next video in this series can be seen at: https://youtu.be/yDgpmhYrKw4

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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Ex: Find the Distance Between Two Points In Space

This video provides an example of how to find the distance between two points in 3D. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

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Geometry: Ch 4 - Geometric Figures (4 of 18) The Triangle

Visit http://ilectureonline.com for more math and science lectures! In this video I will define the triangle, and explain the equations of its parameter and area. Next video in this series can be seen at: https://youtu.be/LsyWxrugfV8

From playlist GEOMETRY 4 - GEOMETRIC FIGURES

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John GRACEY - Generalized Gross-Neveu Universality Class with Non-abelian Symmetry

We use the large N expansion to compute d-dimensional critical exponents at O(1/N^3) for a generalization of the Gross-Neveu Yukawa universality class that includes a non-abelian symmetry. Specific groups correspond to certain phase transitions in condensed matter physics such as graphene.

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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Sporadic groups

This is an informal talk on sporadic groups given to the Archimedeans (the Cambridge undergraduate mathematical society). It discusses the classification of finite simple groups and some of the sporadic groups, and finishes by briefly describing monstrous moonshine. For other Archimedeans

From playlist Math talks

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Étienne Ghys: A guided tour of the seventh dimension

Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher

From playlist Abel Lectures

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John Milnor: Spheres

This lecture was held by Abel Laureate John Milnor at The University of Oslo, May 25, 2011 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations. Program for the Abel Lectures 2011 1. "Spheres" by Abel Laureate John Milnor, Institute for Mathematical

From playlist Abel Lectures

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Michael Atiyah, Seminars Geometry and Topology 1/2 [2009]

Seminars on The Geometry and Topology of the Freudenthal Magic Square Date: 9/10/2009 Video taken from: http://video.ust.hk/Watch.aspx?Video=98D80943627E7107

From playlist Mathematics

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C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions (version temporaire)

In this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC manifold of dimension 4 (resp. 5) has vanishing π2 (resp. vanishing π2 and π3), then a finite co

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I

Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I We introduce the idea of the classical matrix groups and their associated carrier spaces. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX

From playlist Lie Groups and Lie Algebras

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C. Li - Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions

In this talk, I will discuss some recent developments on the topology of closed manifolds admitting Riemannian metrics of positive scalar curvature. In particular, we will prove if a closed PSC manifold of dimension 4 (resp. 5) has vanishing π2 (resp. vanishing π2 and π3), then a finite co

From playlist Ecole d'été 2021 - Curvature Constraints and Spaces of Metrics

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Chao Li: Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions

Talk by Chao Li in Global Noncommutative Geometry Seminar (Americas) on December 3, 2021. https://globalncgseminar.org/talks/tba-18/

From playlist Global Noncommutative Geometry Seminar (Americas)

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Space Coordinates Plotting Points in 3 Dimensions

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Space Coordinates Plotting Points in 3 Dimensions

From playlist Calculus 3

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Eliezer Rabinovici - Persistent Spontaneous Symmetry Breaking at High Temperatures

I will describe the results of a series of works in which we have found systems for which Spontaneous Symmetry Breaking(SSB) persists to very high temperatures. The systems involve Conformal Field Theories of scalars in fractional dimensions 3\ltd\lt3 and for Gauge Theories in d=4. The sys

From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

Related pages

Icosahedral symmetry | Snub 24-cell | 3-sphere | Snub dodecahedral prism | Dodecahedral pyramid | Point group | Truncated cubic prism | Alternation (geometry) | Point groups in two dimensions | Snub cubic prism | Automorphism | Coxeter–Dynkin diagram | John Horton Conway | Isometry group | Quaternion | 24-cell | 16-cell | Schläfli symbol | Symmetric group | Alternating group | Orbifold notation | Regular polytope | Tesseract | Rotational symmetry | Hosohedron | Symmetry group | 5-cell | Octahedral symmetry | Point groups in three dimensions | Coxeter group | Dihedral symmetry in three dimensions | Édouard Goursat | Polyhedral group | Reflection symmetry | Line group | Patrick du Val | Involution (mathematics) | 120-cell | Cubic pyramid | Duoprism | 600-cell | Commutator subgroup | Coxeter notation | Fundamental domain | Goursat tetrahedron | Geometry | Symmetry (geometry) | Crystal system | Dihedral angle