The compound of eight octahedra with rotational freedom is a uniform polyhedron compound. It is composed of a symmetric arrangement of 8 octahedra, considered as triangular antiprisms. It can be constructed by superimposing eight identical octahedra, and then rotating them in pairs about the four axes that pass through the centres of two opposite octahedral faces. Each octahedron is rotated by an equal (and opposite, within a pair) angle θ. It can be constructed by superimposing two compounds of four octahedra with rotational freedom, one with a rotation of θ, and the other with a rotation of −θ. When θ = 0, all eight octahedra coincide. When θ is 60 degrees, the octahedra coincide in pairs yielding (two superimposed copies of) the compound of four octahedra. (Wikipedia).
How to construct an Octahedron
How the greeks constructed the 2nd platonic solid: the regular octahedron Source: Euclids Elements Book 13, Proposition 14. In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Plat
From playlist Platonic Solids
Physics 8.5 Rotational Kinetic Energy (2 of 19) Rotating Spoked Wheel
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the rotational kinetic energy of a spoked wheel of R=0.4m, M=5kg, m(spoke)=1kg and omega=4pi rad/s. Next video can be seen at: https://youtu.be/2z4VRu6g6Dw
From playlist PHYSICS 8.5 ROTATIONAL KINETIC ENERGY
Chemistry - Molecular Structure (10.5 of 45) Basic Shapes-Octahedral with Free Electron Pairs
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the octahedral with free electron pair(s).
From playlist CHEMISTRY 14 MOLECULAR STRUCTURE
Chemistry - Molecular Structure (10 of 45) Basic Shapes-Octahedral with Free Electron Pairs
This video has an uploading audio error...the audio error-free video lives at: https://www.youtube.com/watch?v=IAULFewncc8 In this video I will explain the octahedral with free electron pair(s).
From playlist CHEMISTRY 14 MOLECULAR STRUCTURE
Chemistry - Molecular Structure (6 of 45) Basic Shapes - Octahedral Molecules
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce the basic octahedral molecules of the molecular structure.
From playlist CHEMISTRY 14 MOLECULAR STRUCTURE
The remarkable Platonic solids II: symmetry | Universal Hyperbolic Geometry 48 | NJ Wildberger
We look at the symmetries of the Platonic solids, starting here with rigid motions, which are essentially rotations about fixed axes. We use the normalization of angle whereby one full turn has the value one, and also connect the number of rigid motions with the number of directed edges.
From playlist Universal Hyperbolic Geometry
Spin Orbit Coupling Driven Novel Quantum Magnetism in Iridate... by Roumita Roy
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
How Materials Science Can Help Create a Greener Future - with Saiful Islam
Saiful Islam argues that advances in green technology need to be preceded by advances in materials science. Subscribe for regular science videos: http://bit.ly/RiSubscRibe The supply of clean sustainable energy is one of the greatest challenges of our time. Better batteries for electric
From playlist Chemistry
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
The Wondrous World of Perovskites - with Mike Glazer
In the 2017 Bragg Lecture, Mike Glazer unearths the vital world of perovskites, the crystalline materials that make up 38% of the Earth's volume. Q&A: https://www.youtube.com/watch?v=WsPBB6azzX4 Subscribe for regular science videos: http://bit.ly/RiSubscRibe The crystalline materials kno
From playlist Ri Talks
Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration
We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator. Want Lecture Notes? https://www.flippingphysics.com/thin-rod-rotational-inertia.html This is an AP Physics C: Mechanics Topic.
From playlist AP Physics 1 - EVERYTHING!!
Organic Chemistry - Ch 1: Basic Concepts (14 of 97) Isomers of Octane (18) Simple Representation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the properties (18) or isomers or octane, using simple representation. Next video in this series can be seen at: https://youtu.be/3yMgJI8Sdq4
From playlist ORGANIC CHEMISTRY CH1 INTRODUCTION
0:00 discussion of tragic mustache mishap 1:00 perovskite crystal structure 7:26 silicates 11:20 carbon polytypes 19:56 crystal systems and bravais lattices 22:46 Miller indices for labeling points, directions, planes and families of planes and directions in crystal systems 44:01 drawing p
From playlist Introduction to Materials Science & Engineering Fall 2019
From playlist Linear Algebra Ch 6
2020 Theory Winter School: Hae-Young Kee (pt2)
Topic: Microscopic theory of Kitaev & Gamma interactions in honeycomb magnetic systems Part 2 For more information on the 2020 Theory Winter School: https://nationalmaglab.org/news-events/events/for-scientists/winter-theory-school
From playlist 2020 Theory Winter School
Calculating coordination number from ion size and predicting crystal structure example problem
Tutorial example solution for how to use cation and anion size to predict cation and anion coordination number and use these to predict crystal structure type.
From playlist MSE example problems tutorial
Mod-04 Lec-31 Photocatalysis - III
Nano structured materials-synthesis, properties, self assembly and applications by Prof. A.K. Ganguli,Department of Nanotechnology,IIT Delhi.For more details on NPTEL visit http://nptel.ac.in
Microscopic Origin of couplings between spins in Mott insulators -Tutorial 3 by Karlo Penc
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS: Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
A Millis - Dynamical mean field theory of metal insulator transitions in transition metal perovsk
PROGRAM: STRONGLY CORRELATED SYSTEMS: FROM MODELS TO MATERIALS DATES: Monday 06 Jan, 2014 - Friday 17 Jan, 2014 VENUE: Department of Physics, IISc Campus, Bangalore PROGRAM LINK : http://www.icts.res.in/program/MTM2014 The realistic description of materials with strong electron-electro
From playlist Strongly correlated systems: From models to materials
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/19O1
From playlist 3D printing