In geometry, a Goursat tetrahedron is a tetrahedral fundamental domain of a Wythoff construction. Each tetrahedral face represents a reflection hyperplane on 3-dimensional surfaces: the 3-sphere, Euclidean 3-space, and hyperbolic 3-space. Coxeter named them after Édouard Goursat who first looked into these domains. It is an extension of the theory of Schwarz triangles for Wythoff constructions on the sphere. (Wikipedia).
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
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/2Uh3
From playlist 3D printing
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
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
Danylo Radchenko: Goursat rigid local systems of rank 4
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: I will talk about certain rigid local systems of rank 4 considered by Goursat, with emphasis on explicit constructions and examples. The talk i
From playlist Workshop: "Picard-Fuchs Equations and Hypergeometric Motives"
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
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
Math 135 Complex Analysis Lecture 09 021715: Contour Integrals, Path Independence, Cauchy-Goursat
Examples of integration; Path independence theorem; Theorem of Cauchy-Goursat
From playlist Course 8: Complex Analysis
Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Hélène Gispert - 17/11/17
En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Darboux c’est aussi le nom d’un journal : le Bulletin des sciences mathématiques (1869-1917) Hélène Gispert, GHDSO, Université Paris-Sud 11 À l’occasion du centenaire de la mort de Gaston Darboux, l’Institut Henri Poi
From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017
ME565 Lecture 3: Integration in the complex plane (Cauchy-Goursat Integral Theorem)
ME565 Lecture 3 Engineering Mathematics at the University of Washington Integration in the complex plane (Cauchy-Goursat Integral Theorem) Notes: http://faculty.washington.edu/sbrunton/me565/pdf/L03.pdf Course Website: http://faculty.washington.edu/sbrunton/me565/ http://faculty.wash
From playlist Engineering Mathematics (UW ME564 and ME565)
2003 AIME II problem 4 (part 1) | Math for fun and glory | Khan Academy
Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-g
From playlist AIME | Math for fun and glory | Khan Academy
What Are Polygons | Geometry & Measures | Maths | FuseSchool
CREDITS Animation & Design: Peter van de Heuvel Narration: Lucy Billings Script: Lucy Billings The word polygon comes from Greek. Poly means “many” and Gon means “angles”. Polygon = many angles. Polygons are 2-dimensional shapes, that are made of straight lines, with all the sides joined
From playlist MATHS: Geometry & Measures
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
Complex Analysis - Part 22 - Goursat's Theorem
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From playlist Complex Analysis
Three dimensional geometry, Zome, and the elusive tetrahedron (Pure Maths Seminar, Aug 2012)
This is a Pure Maths Seminar given in Aug 2012 by Assoc Prof N J Wildberger of the School of Mathematics and Statistics UNSW. The seminar describes the trigonometry of a tetrahedron using rational trigonometry. Examples are taken from the Zome construction system.
From playlist Pure seminars
Average height | MIT 18.02SC Multivariable Calculus, Fall 2010
Average height Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02SC: Homework Help for Multivariable Calculus
The Tetrahedral Boat - Numberphile
Featuring Marcus du Sautoy discussing polyhedra and the art of Conrad Shawcross... More links & stuff in full description below ↓↓↓ Marcus du Sautoy website: https://www.simonyi.ox.ac.uk Marcus' books on Amazon: https://amzn.to/33YbOxS More videos with Marcus: https://bit.ly/Marcus_Number
From playlist Marcus Du Sautoy on Numberphile
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/17d5
From playlist 3D printing
