This uniform polyhedron compound is a symmetric arrangement of 12 tetrahedra, considered as antiprisms. It can be constructed by superimposing six identical copies of the stella octangula, and then rotating them in pairs about the three axes that pass through the centres of two opposite cubic faces. Each stella octangula is rotated by an equal (and opposite, within a pair) angle θ. Equivalently, a stella octangula may be inscribed within each cube in the compound of six cubes with rotational freedom, which has the same vertices as this compound. When θ = 0, all six stella octangula coincide. When θ is 45 degrees, the stella octangula coincide in pairs yielding (two superimposed copies of) the compound of six tetrahedra. (Wikipedia).
Magic rotating 7 tetrahedra,it has olnly one degree of freedom. One of the Kaleidocycle.
From playlist Handmade geometric toys
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
How to construct a Tetrahedron
How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th
From playlist Platonic Solids
Canonical structures inside the Platonic solids I | Universal Hyperbolic Geometry 49 | NJ Wildberger
Each of the Platonic solids contains somewhat surprising addition structures that shed light on the symmetries of the object. Here we look at the tetrahedron, and investigate a remarkable three-fold symmetry which is contained inside the obvious four-fold symmetry of the object. We connect
From playlist Universal Hyperbolic Geometry
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.
From playlist 3D printing
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
Quantum spin liquids in pyrochlore magnets: a functional renormalization group by Yasir Iqbal
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Day 14 ceramic crystal structures
0:00 reading quiz 5:25 HCP structure and close-packing 10:27 theoretical density calculation 15:00 difference between observed and theoretical densities 18:16 ceramic crystal structures and using rc/ra ratio to determine coordination 23:26 rock salt (NaCl) structure 29:28 cesium chloride (
From playlist Introduction to Materials Science and Engineering Fall 2017
Physics 11.1 Rigid Body Rotation (1 of 10) Basics
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the translational, rotational, and combined motion of rigid body rotation.
From playlist PHYSICS 11 ROTATIONAL MOTION
Microscopic Modeling and Applications of Frustrated Magnetism by SungBin Lee
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Dipole-Octupole Quantum Spin Liquids inCe-based Phrochlores by Bruce D. Gaulin
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)
Quantum Spin liquids, Entanglement, Fractionalisation....and Experiments by Subhro Bhattacharjee
Program The 2nd Asia Pacific Workshop on Quantum Magnetism ORGANIZERS: Subhro Bhattacharjee, Gang Chen, Zenji Hiroi, Ying-Jer Kao, SungBin Lee, Arnab Sen and Nic Shannon DATE: 29 November 2018 to 07 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Frustrated quantum magne
From playlist The 2nd Asia Pacific Workshop on Quantum Magnetism
Physics 11.5 Rotational Motion - Graphical Solution (1 of 9) Introduction 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce and explain angular distance, angular velocity, and angular acceleration and their associated equations. Next video can be seen at: https://youtu.be/ibUpxpDr1hI
From playlist PHYSICS 11 ROTATIONAL MOTION
26. Van't Hoff's Tetrahedral Carbon and Chirality
Freshman Organic Chemistry (CHEM 125) With his tetrahedral carbon models van't Hoff explained the mysteries of known optical isomers possessing stereogenic centers and predicted the existence of chiral allenes, a class of molecules that would not be observed for another sixty-one years. S
From playlist Freshman Organic Chemistry with J. Michael McBride
MagLab Theory Winter School 2019: Collin Broholm
Topic: Spin fluctuations in strongly correlated electron systems The National MagLab held it's seventh Theory Winter School in Tallahassee, FL from January 7th - 11th, 2019.
From playlist 2019 Theory Winter School
Eleftherios Pavlides - Elastegrity Geometry of Motion - G4G13 Apr 2018
"The Chiral Icosahedral Hinge Elastegrity resulted from a Bauhaus paper folding exercise, that asks material and structure to dictate form. The key new object obtained in 1982 involved cutting slits into folded pieces of paper and weaving them into 8 irregular isosceles tetrahedra, attache
From playlist G4G13 Videos
Group theory 27: The icosahedral group
This lecture is part of an online math course on group theory. The lecture is about a few examples of groups, in particular the icosahedral group. In it we see that the icosahedral group is the only simple group of order 60, and show that all larger alternating groups are simple.
From playlist Group theory
This video was produced by Nina Qiu of Year 10 (2015).
From playlist Random
What Are Allotropes of Metalloids and Metals | Properties of Matter | Chemistry | FuseSchool
What Are Allotropes of Metalloids and Metals Learn the basics about allotropes of metalloids and metals, as a part of the overall properties of matter topic. An allotrope is basically a different form of the same element, each with distinct physical and chemical properties. For example
From playlist CHEMISTRY
Perfect Shapes in Higher Dimensions - Numberphile
Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions. More links & stuff in full description below ↓↓↓ Extra footage (Hypernom): https://youtu.be/unC0Y3kv0Yk More videos with with Carlo: http://bit.ly/carlo_videos Edit and animation by Pete McPartlan Pete
From playlist Carlo Séquin on Numberphile