In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (J78). It can be constructed as a rhombicosidodecahedron with one pentagonal cupola (J5) rotated through 36 degrees, and a non-opposing pentagonal cupola removed. (The cupolae cannot be adjacent.) A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966. (Wikipedia).
From playlist Miscellaneous
This geometry video tutorial provides a basic introduction into the pythagorean theorem. It explains how to use it to find missing sides and solve for x. In addition, it provides examples of solving word problems using pythagorean theorem for shapes such as right triangles, squares, rhom
From playlist Geometry Video Playlist
What are Hyperbolas? | Ch 1, Hyperbolic Trigonometry
This is the first chapter in a series about hyperbolas from first principles, reimagining trigonometry using hyperbolas instead of circles. This first chapter defines hyperbolas and hyperbolic relationships and sets some foreshadowings for later chapters This is my completed submission t
From playlist Summer of Math Exposition 2 videos
All possible pythagorean triples, visualized
To understand all pythagorean triples like (3, 4, 5), (5, 12, 13), etc. look to complex numbers. This video was sponsored by Remix: https://www.remix.com/jobs Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the v
From playlist Neat proofs/perspectives
Using the Pythagorean identity to verify an identity
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality
From playlist Verify Trigonometric Identities
Using are pythagorean identites to simplify an expression
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like the quotient, reciprocal, even, odd, co-function, and
From playlist Simplify Trigonometric Identities
Class 5: Tessellations & Modulars
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 class introduces more examples of origami models that use a variety of techniques and media. At the end of the session, the c
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Discrete Math - The Last Diminisher Method
The Last Diminisher Method is a negotiation technique for distributing fair shares for continuously divisible objects such as land and money.
From playlist Discrete Math
Last Diminisher - Storyboard Problem
Last Diminisher storyboard problem. Solution worked out using table method.
From playlist Discrete Math
Converse Pythagorean Theorem & Pythagorean Triples
I explain the Converse Pythagorean Theorem and what Pythagorean Triples are. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage www.YouTube.com/Profro
From playlist Geometry
2. Preferences and Utility Functions
MIT 14.01 Principles of Microeconomics, Fall 2018 Instructor: Prof. Jonathan Gruber View the complete course: https://ocw.mit.edu/14-01F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62oJSoqb4Rf-vZMGUBe59G- This video focuses on the demand curve, derived from how co
From playlist MIT 14.01 Principles of Microeconomics, Fall 2018
FORMAL LINEAR PERSPECTIVE: SECTION THREE EX#29 & EX#30
(2nd upload. Hopefully YouTube will get this to 4K) Scale, Measuring of perfect cubes with 45 Degree MP in two point perspective.
From playlist FORMAL LINEAR PERSPECTIVE
Fair Division: The Last Diminisher Method
This video explains and provides an example of the last diminisher method of fair division. Site: http://mathispower4u.com
From playlist Fair Division
Numerical Optimization Algorithms: Constant and Diminishing Step Size
In this video we discuss two simple techniques for choosing the step size in a numerical optimization algorithm. Topics and timestamps: 0:00 – Introduction 1:15 – Constant step size 14:37 – Diminishing step size 25:05 - Summary All Optimization videos in a single playlist (https://www.
From playlist Optimization
Diminishing Returns and the Production Function- Micro Topic 3.1
I explain the idea of fixed resources and the law of diminishing marginal returns. I also discuss how to calculate marginal product and identify the three stages of returs: increasing, decreasing, and negative returns. For more econ stuff, visit my website www.ACDCEcon.com Need help? Chec
From playlist Micro Unit 3: Production, Cost, and Perfect Competition
Using pythagorean identities to help me verify an identity
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify that the term(s) on the left-hand side of the equality
From playlist Verify Trigonometric Identities
FORMAL LINEAR PERSPECTIVE: SECTION FIVE 1PT-3PT Forms EX# 45
Marc demonstrates the idea of 1PT-3PT forms. SUGGESTED FOLLOW UP EXERCISES: Repeat the idea many times times until you understand it easily.
From playlist FORMAL LINEAR PERSPECTIVE