In geometry, a tetrad is a set of four simply connected disjoint planar regions in the plane, each pair sharing a finite portion of common boundary. It was named by Michael R. W. Buckley in 1975 in the Journal of Recreational Mathematics. A further question was proposed that became a puzzle, whether the 4 regions could be congruent, with or without holes, other enclosed regions. (Wikipedia).
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
Three dimensional geometry, ZOME, and the elusive tetrahedron
Lectures notes at http://www.maths.unsw.edu.au/seminars/2012-07/three-dimensional-geometry-zome-and-elusive-tetrahedron. The geometry of three dimensional space, despite its obvious importance, is a sadly neglected topic in modern mathematics. One of the reasons is that the topic is rather
From playlist MathSeminars
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
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
Stanford artist collaborates with physics department for 'Drawing with Tetrahedra'
Physics faculty members and graduate students use tetrahedra to create a less-than-perfect structure that explores the connection between shape and sound. For more information, see: http://news.stanford.edu/news/2014/march/tetra-physics-vivaldi-040214.html
From playlist Stanford Highlights
Do tetrahedrons tessellate space? #Shorts
Tessellate is when you fit together closely shapes without gaps or overlapping. Squares can tessellate a plane. Cubes can tessellate a space. Regular Triangles can tessellate a plane. Do regular tetrahedrons tessellate space?
From playlist #shorts mathematicsonline
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism
What is General Relativity? Lesson 53: Scalar Curvature Part 2 - The Tetrad Formalism In this lecture we introduce the tetrad formalism. This is a pre-requisite, in my opinion, to the study of Riemann Normal Coordinates, although RNC are not always introduced with the tetrad formalism in
From playlist What is General Relativity?
Einstein's final work is STILL unfinished. Here’s what it means.
To try everything Brilliant has to offer FREE for a full 30 days, visit http://brilliant.org/ParthG/. The first 200 of you will get 20% off Brilliant’s annual premium subscription. This is Einstein's final contribution to physics... and unfortunately it was left unfinished. Also, a huge
From playlist Relativity by Parth G
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 1)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Double integrals: Volume of a tetrahedron
Free ebook http://tinyurl.com/EngMathYT I discuss and solve an example where we calculate the volume of a tetrahedron. The method involves double integrals and is seen in 1st and 2nd year university mathematics.
From playlist Mathematics for Finance & Actuarial Studies 2
What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap
What is General Relativity? Lesson 0 and Lesson 75: Invitation and Recap This lesson is for those considering watching some or all of "What is General Relativity?" and for those who have finished some or all of the lesson. It is an invitation to the subject and also a recap of the subject
From playlist What is General Relativity?
What is General Relativity? Lesson 54 - Scalar Curvature Part 3: Riemann Normal Coordinates
What is General Relativity? Lesson 54 -Scalar Curvature Part 3 Riemann Normal Coordinates This is the second of a few lectures about the Scalar Curvature and its interpretation. The goal is to get us to a point where we can have an interpretation of the Einstein Tensor and therefore an i
From playlist What is General Relativity?
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 3)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
What is General Relativity? Lesson 72: Schwarzschild Solution - the Setup
What is General Relativity? Lesson 72: Schwarzschild Solution - the Setup In this lesson we are going to set up the mathematical problem we are solving and relate that problem to physics. In preparation for this we need to understand what a spherically symmetric metric must look like, and
From playlist What is General Relativity?
Numerical Hydrodynamics: Part 1 by Ian Hawke
PROGRAM : GRAVITATIONAL WAVE ASTROPHYSICS (ONLINE) ORGANIZERS : Parameswaran Ajith, K. G. Arun, Sukanta Bose, Bala R. Iyer, Resmi Lekshmi and B Sathyaprakash DATE : 18 May 2020 to 22 May 2020 VENUE : ONLINE Meeting Due to the ongoing COVID-19 pandemic, the original program has been can
From playlist Gravitational Wave Astrophysics (Online) 2020
Lars Andersson - Geometry and analysis in black hole spacetimes (Part 2)
Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in vacuum, is one of the most important open problems in general relativity. Following a brief i
From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale
Pseudo-Scalars from `Dark' Extra Dimensions and their Possible Role in the... Sandipan Sengupta
PROGRAM LESS TRAVELLED PATH OF DARK MATTER: AXIONS AND PRIMORDIAL BLACK HOLES (ONLINE) ORGANIZERS: Subinoy Das (IIA, Bangalore), Koushik Dutta (IISER, Kolkata / SINP, Kolkata), Raghavan Rangarajan (Ahmedabad University) and Vikram Rentala (IIT Bombay) DATE: 09 November 2020 to 13 Novemb
From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
