Symmetry

Symmetry element

In chemistry and crystallography, a symmetry element is a point, line, or plane about which symmetry operations can take place. In particular, a symmetry element can be a mirror plane, an axis of rotation (either proper and improper), or a center of inversion. For an object such as a molecule or a crystal, a symmetry element corresponds to a set of symmetry operations, which are the rigid transformations employing the symmetry element that leave the object unchanged. The set containing these operations form one of the symmetry groups of the object. The elements of this symmetry group should not to be confused with the "symmetry element" itself. Loosely, a symmetry element is the geometric set of fixed points of a symmetry operation. For example, for rotation about an axis, the points on the axis do not move and in a reflection the points that remain unchanged make up a plane of symmetry. (Wikipedia).

Symmetry element
Video thumbnail

Teach Astronomy - Symmetry

http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.

From playlist 23. The Big Bang, Inflation, and General Cosmology 2

Video thumbnail

Symmetry in Physics | Noether's theorem

▶ Topics ◀ Global / Local Symmetries, Continuous / Discrete Symmetries ▶ Social Media ◀ [Instagram] @prettymuchvideo ▶ Music ◀ TheFatRat - Fly Away feat. Anjulie https://open.spotify.com/track/1DfFHyrenAJbqsLcpRiOD9 If you want to help us get rid of ads on YouTube, you can support us on

From playlist Symmetry

Video thumbnail

The science of symmetry - Colm Kelleher

View full lesson: http://ed.ted.com/lessons/the-science-of-symmetry-colm-kelleher When you hear the word symmetry, you might think generally of triangles, butterflies, or even ballerinas. But defined scientifically, symmetry is "a transformation that leaves an object unchanged." Huh? Colm

From playlist New TED-Ed Originals

Video thumbnail

What is Symmetry? (Nina Qiu)

This video was produced by Nina Qiu of Year 10 (2015).

From playlist Random

Video thumbnail

The Predictive Power Of Symmetry

From a bee’s hexagonal honeycomb to the elliptical paths of planets, symmetry has long been recognized as a vital quality of nature. Einstein saw symmetry hidden in the fabric of space and time. The brilliant Emmy Noether proved that symmetry is the mathematical flower of deeply rooted phy

From playlist Science Shorts and Explainers

Video thumbnail

What is a Symmetry?

Symmetries show up everywhere in physics. But what is a symmetry? While the symmetries of shapes can be interesting, a lot of times, we are more interested in symmetries of space or symmetries of spacetime. To describe these, we need to build "invariants" which give a mathematical represen

From playlist Relativity

Video thumbnail

A07 Using a symmetry principle to derive Newtons third law

Deriving Newton's third law from a symmetry principle. I'll be using translational invariance in homogeneous space and symmetry principle and shows that, through a thought experiment (virtual displacement) and using Newton's second and first laws that it hides a conservation principle (li

From playlist Physics ONE

Video thumbnail

A05 The equations of motion

First example of using a symmetry principle show a conserved quantity. I show that the conservation of linear momentum comes from a radial symmetry in forces.

From playlist Physics ONE

Video thumbnail

Richard Feynman - The Character of Physical Law - Part4 Symmetry in Physical Law (full version)

Richard Feynman The Character of Physical Law Part4 Symmetry in Physical Law full version

From playlist Feynman's Lectures

Video thumbnail

Mod-01 Lec-2 Symmetry in Perfect Solids

Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course

Video thumbnail

Group theory 2: Cayley's theorem

This is lecture 2 of an online mathematics course on group theory. It describes Cayley's theorem that every abstract group is the group of symmetries of something, and as examples shows the Cayley graphs of the Klein 4-group and the symmetric group on 3 points.

From playlist Group theory

Video thumbnail

AMMI Course "Geometric Deep Learning" - Lecture 3 (Geometric Priors I) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July-August 2021 by Michael Bronstein (Imperial College/Twitter), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 3: Symmetries • Abstract group

From playlist AMMI Geometric Deep Learning Course - First Edition (2021)

Video thumbnail

Group theory 1: Introduction

This is lecture 1 of an online mathematics course on group theory. This lecture defines groups and gives a few examples of them.

From playlist Group theory

Video thumbnail

AMMI 2022 Course "Geometric Deep Learning" - Lecture 3 (Geometric Priors I) - Taco Cohen

Video recording of the course "Geometric Deep Learning" taught in the African Master in Machine Intelligence in July 2022 by Michael Bronstein (Oxford), Joan Bruna (NYU), Taco Cohen (Qualcomm), and Petar Veličković (DeepMind) Lecture 3: Symmetries • Abstract groups • Symmetry groups • Gro

From playlist AMMI Geometric Deep Learning Course - Second Edition (2022)

Video thumbnail

What is a Group? | Abstract Algebra

Welcome to group theory! In today's lesson we'll be going over the definition of a group. We'll see the four group axioms in action with some examples, and some non-examples as well which violate the axioms and are thus not groups. In a fundamental way, groups are structures built from s

From playlist Abstract Algebra

Video thumbnail

Yang Shi: Normalizer theory of Coxeter groups and discrete integrable systems

Abstract: Formulation of the Painleve equations and their generalisations as birational representations of affine Weyl groups provides us with an elegant and efficient way to study these highly transcendental, nonlinear equations. In particular, it is well-known that discrete evolutions of

From playlist Integrable Systems 9th Workshop

Video thumbnail

Chemistry 107. Inorganic Chemistry. Lecture 01

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 01. Inorganic Chemistry -- Course Introduction & Symmetry of Nature View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://

From playlist Chem 107: Week 1

Video thumbnail

Mod-01 Lec-3 Symmetry in Perfect Solids (Continued)

Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course

Video thumbnail

Introduction to Symmetry about the x-axis, y-axis, and the origin Using Points

This video introduces symmetry about the x-axis, y-axis, and the origin using points on the coordinate plane. Site: http://mathispower4u.com

From playlist Determining Odd and Even Functions

Video thumbnail

GSE statistics without spin - Sebastian Mueller

Sebastian Mueller University of Bristol November 5, 2013 For more videos, please visit http://video.ias.edu

From playlist Mathematics

Related pages

Symmetry group | Improper rotation | Rigid transformation | Cyclic group | Crystallography | Fixed point (mathematics) | Symmetry | Schoenflies notation | Group theory | Symmetry operation