Figurate numbers | Polyhedra

Descartes on Polyhedra

Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra. Central to the book is the disputed priority for Euler's polyhedral formula between Leonhard Euler, who published an explicit version of the formula, and Descartes, whose De solidorum elementis includes a result from which the formula is easily derived. Descartes on Polyhedra was written by Pasquale Joseph Federico (1902–1982), and published posthumously by Springer-Verlag in 1982, with the assistance of Federico's widow Bianca M. Federico, as volume 4 of their book series Sources in the History of Mathematics and Physical Sciences. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries. (Wikipedia).

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Introduction to Polygons - Geometry

Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. Geometer: Louise McCartney Artwork: Kelly Vivanco Written by Michael Ha

From playlist Geometry lessons

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DesmosLIVE: An Exploration of Desmos + Mathalicious

Kate Nowak of Mathalicious explores a few Mathalicious lessons with Desmos

From playlist Desmos LIVE

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Combinatorics and Geometry to Arithmetic of Circle Packings - Nakamura

Speaker: Kei Nakamura (Rutgers) Title: Combinatorics and Geometry to Arithmetic of Circle Packings Abstract: The Koebe-Andreev-Thurston/Schramm theorem assigns a conformally rigid fi-nite circle packing to a convex polyhedron, and then successive inversions yield a conformally rigid infin

From playlist Mathematics

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S.A.Robertson, How to see objects in four dimensions, LMS 1993

Based on the 1993 London Mathematical Society Popular Lectures, this special 'television lecture' is entitled "How to see objects in four dimensions" by Professor S.A.Robertson. The London Mathematical Society is one of the oldest mathematical societies, founded in 1865. Despite it's name

From playlist Mathematics

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Lecture 17: Alexandrov's Theorem

MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture addresses the mathematical approaches for solving the decision problem for folding polyhedra. A proof of Alexandrov's

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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A5 More on tables

In this video I show you how to use the tables function in Desmos.

From playlist Biomathematics

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The Role of Mathematics in Philosophy | 2012

Prof. Douglas Kindschi of Grand Valley State University speaks on "The Role of Mathematics in Philosophy: Plato to Russell". This talk was part of the GVSU Math Department seminar series and was given in February 2012. https://archive.org/details/The_Role_Of_Mathematics_In_Philosophy_

From playlist Mathematics

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Isosceles Triangle Theorem: Dynanic Desmos Illustrator

Isosceles triangle theorem animation & explorer made in #Desmos. https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb #MTBoS #ITeachMath #math

From playlist Desmos Activities, Illustrations, and How-To's

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AlgTop10: More on graphs and Euler's formula

We discuss applications of Euler's formula to various planar situations, in particular to planar graphs, including complete and complete bipartite graphs, the Five neighbours theorem, the Six colouring theorem, and to Pick's formula, which lets us compute the area of an integral polygonal

From playlist Algebraic Topology: a beginner's course - N J Wildberger

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Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Descartes Rule of Signs - Upper and Lower Bounds

TabletClass Math http://www.tabletclass.com . This explains Descartes Rule of Signs. The lesson is designed to focus on on how Descartes Rule of Signs helps finds the zeros of a polynomial.

From playlist Pre-Calculus / Trigonometry

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algebraic geometry 16 Desargues's theorem

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers Desargues's theorem and duality of projective space.

From playlist Algebraic geometry I: Varieties

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Gauss's view of curvature and the Theorema Egregium | Differential Geometry 35 | NJ Wildberger

In this video we discuss Gauss's view of curvature in terms of the derivative of the Gauss-Rodrigues map (the image of a unit normal N) into the unit sphere, and expressed in terms of the coefficients of the first and second fundamental forms. We have a look at these equations for the spec

From playlist Differential Geometry

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The language of Geometry | Math Terminology | NJ Wildberger

This series will give a quick review of mathematical terminology for first year university students who will be taking mathematics. This video deals with terminology involved in elementary geometry. We discuss elementary Euclidean geometry, with points, lines and circles, basic shapes, tri

From playlist MathTerminology for incoming Uni students

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Applying descartes rule of signs to determine the number or real positive & negative zeros

👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Find the nth root on desmos

In this video, we show how to find the nth root on desmos

From playlist desmos

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The History of Mathematics in 300 Stamps

Oxford Mathematics Public Lectures: Robin Wilson - The History of Mathematics in 300 Stamps The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. From Euclid to Euler, from Pythagoras to

From playlist Oxford Mathematics Public Lectures

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How to use Descartes rule of signs to determine the number of positive and negative zeros

👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Thin Groups and Applications - Alex Kontorovich

Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu

From playlist Analysis and Beyond

Related pages

List of books about polyhedra | Snub polyhedron | Triangular number | Gottfried Wilhelm Leibniz | Gauss–Bonnet theorem | Number theory | Figurate number | Square number | Semiregular polyhedron | René Descartes | Polyhedron | Polygon | Harold Scott MacDonald Coxeter | Leonhard Euler | Platonic solid | Euler's formula