Differential topology | Mathematical paradoxes
In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space (the word eversion means "turning inside out"). Remarkably, it is possible to smoothly and continuously turn a sphere inside out in this way (with possible self-intersections) without cutting or tearing it or creating any crease. This is surprising, both to non-mathematicians and to those who understand regular homotopy, and can be regarded as a veridical paradox; that is something that, while being true, on first glance seems false. More precisely, let be the standard embedding; then there is a regular homotopy of immersions such that ƒ0 = ƒ and ƒ1 = −ƒ. (Wikipedia).
From playlist Drawing a sphere
This week’s video is about the beautiful mathematics you encounter when you try to turn ghostlike closed surfaces inside out. Learn about the mighty double Klein bottle trick, be one of the first to find out about a fantastic new way to turn a sphere inside out and have another go at earni
From playlist Recent videos
Turning a Torus Inside-Out (Punctured Torus Eversion)
Cut a small hole in a donut. Can you turn it inside-out? The answer, as shown in this looping video, is "yes!" Notice how the blue inside becomes the red outside, and back again. Unlike the classic question of "turning the sphere inside out," which considers non-physical motions where
From playlist Repulsive Videos
Learn how to determine the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Finding the volume and the surface area of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Find the volume of a sphere given the circumference
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Given the circumference how do you find the surface area of a hemisphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)
Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg
From playlist Discrete Differential Geometry - CMU 15-458/858
How do you find the surface area of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
How do you find the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
How do you find the volume of a hemisphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Tamara Munzner - Geometry Center Videos, Revisited - CoM Oct 2021
The Geometry Center’s three flagship videos from the early 1990s brought concepts from geometric topology to general audiences through computer-generated visualization: Not Knot, Outside In, and The Shape of Space. Uploads of these videos have been viewed many millions of times, and even u
From playlist Celebration of Mind 2021
This transformation is not a eversion in the sense of differential topology. Reversible polyhedron ! This object is a variation of MOVE FORM. "MOVE FORM" was invented by Hiroshi Tomura in 1964. See also "Turn a Torus Inside out " https://youtu.be/vfGHbIBgkgs.
From playlist Handmade geometric toys
Equation of Sphere given Endpoints of Diameter
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equation of Sphere given Endpoints of Diameter
From playlist Calculus
3 Reasons Animals Puke Their Guts Out (Literally)
For most of us, the term "puke your guts out" isn't meant to taken literally. But for these animals, it's kind of useful. Hosted by: Olivia Gordon SciShow has a spinoff podcast! It's called SciShow Tangents. Check it out at http://www.scishowtangents.org ---------- Support SciShow by bec
From playlist Uploads
Learning about movement is way easier than you'd think—for every 100 muscles in the human body, there's just one type of joint. When it comes to the gross anatomy of motion, easily digestible terms are the name of the game. Set aside your pen and paper and enjoy this logical and approachab
From playlist Biology and Health
Paper Moebius Bands - Richard Schwartz
Members' Seminar Topic: Paper Moebius Bands Speaker: Richard Schwartz Affiliation: Brown University; Member, School of Mathematics Date: October 26, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Salesforce Tutorial - Setting up an auto-respoder
Learn how to create an auto-response rule for cases. Explore more Salesforce courses and advance your skills on LinkedIn Learning: https://www.linkedin.com/learning/topics/crm-software?trk=sme-youtube_M141136-08-04_learning&src=yt-other This is an excerpt from "Salesforce for Customer Ser
From playlist Salesforce
Equation of a Sphere Given the Endpoints of the Diameter
In this video I will show you how to find the equation of a sphere given the endpoints of the diameter. We are given a sphere which has endpoints (5, 4, 3) and (1, 6, -9) and we find the equation of the sphere. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an
From playlist Spheres
Battle of the Somme Footage (1916) | A Day That Shook the World
A Day That Shook the World recalls the days of the 20th century that proved to be era-defining and pivotal in the course of modern history. These are the days on which political revolutions, technological breakthroughs, and sporting triumphs took place, and whose effects were felt the worl
From playlist WORLD WAR ONE