Geometric shapes | Circle packing | Arbelos
In geometry, an Archimedean circle is any circle constructed from an arbelos that has the same radius as each of Archimedes' twin circles. If the arbelos is normed such that the diameter of its outer (largest) half circle has a length of 1 and r denotes the radiius of any of the inner half circles, then the radius ρ of such an Archimedean circle is given by There are over fifty different known ways to construct Archimedean circles. (Wikipedia).
Device for milling Archimedean spiral groove 1
Combination of bevel gear satellite drive and nut-screw one.
From playlist Mechanisms
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/MYI
From playlist 3D printing
The Archimedean Spiral | Visually Explained (animation code also explained)
This is a video explaining what is so extraordinary about Archimedes, and the geometric things he did back in the BC. This is a partial explanation of the topic, and a partially explaining the code. Timecodes: 0:00 - Intro 0:11 - Archimedean Spirals 3:40 - The Exhaustion Method 5:38 - Ma
From playlist ManimCE Tutorials 2021
The green and orange wheels of Archimedean grooves are identical. The green one is input. The pink pin slides in both grooves and in a straight slot of a immobile bar. The slot is on the line connecting axes of the two wheels. Two wheels rotate in the same direction with the same speed, li
From playlist Mechanisms
The green and orange coaxial wheels of Archimedean grooves are identical. The pink pin slides in both grooves and in a straight slot of a fixed bar. The two wheels rotate in opposite directions with the same speed. Pitch of the Archimedean groove must be big enough to prevent possible jam.
From playlist Mechanisms
What is the Archimedes’ Principle? | Gravitation | Physics | Don't Memorise
We can bet you've heard about the Archimedes' principle at least once in your life. But do you know what it really means? Watch this video to find out. To get access to the entire course based on Gravitation, enroll here - https://infinitylearn.com/microcourses?utm_source=youtube&utm_med
From playlist Physics
Finding Pi by Archimedes' Method
Archimedes approximated the value of Pi by starting with the fact that a regular hexagon inscribed in a unit circle has a perimeter of 6. He then found a method for finding the perimeter of a polygon with twice as many sides. Applying his method repeatedly, he found the perimeter of a 12
From playlist Lessons of Interest on Assorted Topics
Archimedean Theory - Alex Kontorovich
Speaker: Alex Kontorovich (Rutgers/IAS) Title: Archimedean Theorem More videos on http://video.ias.edu
From playlist Mathematics
Squaring the Circle with the Archimedean Spiral (animated visual proof)
This is a short, animated visual proof that we can square the circle IF we use the Archimedean spiral. Unfortunately, this is not a solution to the squaring the circle problem from antiquity because that requires it to be done with only a straightedge and compass. #mathshorts #mathvideo
From playlist Pi
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
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
CTNT 2018 - "Function Field Arithmetic" (Lecture 1) by Christelle Vincent
This is lecture 1 of a mini-course on "Function Field Arithmetic", taught by Christelle Vincent (UVM), during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Function Field Arithmetic" by Christelle Vincent
Function Field Arithmetic - Lecture 1/4 by Christelle Vincent [CTNT 2018]
Full playlist: https://www.youtube.com/playlist?list=PLJUSzeW191QyYO8dd6uYoDqs4IGFAiNd2 Slides: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/VincentLecture1.pdf Mini-course C: “Function Field Arithmetic” by Christelle Vincent (University of Vermont). This wi
From playlist Number Theory
Ming Ng - Adelic Geometry via Topos Theory
Talk at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/NgSlidesToposesOnline.pdf Joint work with Steve Vickers In this talk, I will give a leisurely introduction to the t
From playlist Toposes online
Maxim Kontsevich - 4/4 Bridgeland Stability over Non-Archimedean Fields
Bridgeland stability structure/condition on a triangulated category is a vast generalization of the notion of an ample line bunlde (or polarization) in algebraic geometry. The origin of the notion lies in string theory, and is applicable to derived categories of coherent sheaves, quiver re
From playlist Maxim Kontsevitch - Bridgeland Stability over Non-Archimedean Fields
Archimedes Spiral Gear Mechanism
This unusual gear mechanism is based around an Archimedes Spiral. Tim was given it by a friend, who made it using 3D printing. Happy New Year to you all from everyone at Grand Illusions!
From playlist Engineering
Perfectoid spaces (Lecture 3) by Kiran Kedlaya
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
More Archimedes Insight = GoGeometry Action 151!
Link: https://www.geogebra.org/m/Wwj74JsW
From playlist Geometry: Challenge Problems