Tetragonal disphenoid honeycomb

Regular polyhedra

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

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

The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger

We look at the geometry of the regular tetrahedron, from the point of view of rational trigonometry. In particular we re-evaluate an important angle for chemists formed by the bonds in a methane molecule, and obtain an interesting rational spread instead. Video Content: 00:00 Introduction

From playlist Universal Hyperbolic Geometry

Hyperbolic honeycombs

These sculptures are joint work with Roice Nelson. They are available from shapeways.com at http://shpws.me/oNgi, http://shpws.me/oqOx and http://shpws.me/orB8.

From playlist 3D printing

Unique way to divide a tetrahedron in half

This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.

From playlist Platonic Solids

Simon Bexfield - Tetrahedrons Made Simple - G4G12 Apr 2016

From playlist G4G12 Videos

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

Tailoring Topological Phases: A Materials Perspective by Tanusri Saha-Dasgupta

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

Mod-17 Lec-44 Mechanical Properties of Ceramic Materials ( Contd.)

Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science

Platonic and Archimedean solids

Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV

From playlist 3D printing

Transformation toughened zirconia as an example of metastable phases

Phase diagrams tell you what phases should exist under thermodynamic equilibrium. What they don't tell us is which phases will be metastable. A good example is zirconia doped with yttria. The high temperature tetragonal+cubic phase field can be preserved down to low temperatures as a metas

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51

The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str

From playlist Universal Hyperbolic Geometry

Crystal systems and Bravais Lattices

When you consider different unit cell shapes (crystal systems) and centering options you end up with Bravias Lattices. There are 7 crystal systems including cubic, hexagonal, orthorhombic, tetragonal, monoclinic, trigonal, and triclinic. There are four centering possibilities including sim

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

Cardboard Tetrahedron Pyramid Perfect Circle Solar How to make a pyramid out of cardboard

How to make a pyramid out of cardboard. A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex.

From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS

How to calculate interplanar spacing

In this example we show how to calculate the interplanar spacing for a given plane in a tetragonal system. This interplanar spacing is necessary for Bragg's Law and X-ray Diffraction (XRD) calculations in materials science.

From playlist MSE example problems tutorial

Mod-08 Lec-19 Ferroelectric , Piezoelectric and Pyroelectric Ceramics

Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science

Mod-02 Lec-05 Crystal Structure (Contd. )

Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science

ferroelectrics, piezoelectrics, and multiferroics

0:00 why are titanates such good dielectrics? 5:21 cubic vs tetragonal barium titanate and the Curie temperature 6:50 calculating polarization in a titanate perovskite 13:38 spontaneous polarization at the Curie temperture 16:20 poling to achieve domain alignment 17:50 applications of ferr

From playlist Introduction to Materials Science and Engineering Fall 2018

Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Exploring Orders of Extended Multipoles by NMR by Masashi Takigawa

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)