Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, dn, between points. To convert between these two formulations of the problem, the square side for unit circles will be . (Wikipedia).
Area and Perimeter of Geometric Figures
Worked out examples involving area and perimeter.
From playlist Geometry
Find the Area of a Circle Bounded by Two Squares
This video explains how to determine the area of a circle bounded by two squares. The properties of right triangles, squares and circles are used. http://mathispower4u.com
From playlist Mathematics General Interest
ʕ•ᴥ•ʔ Unit Circle and Reference Angle Trigonometry Explained
Quickly master unit circle and reference angle Trigonometry. Watch more lessons like this and try our practice at https://www.studypug.com/algebra-2/trigonometry/unit-circle What is a unit circle? Unit circle is nothing crazy. It's just a circle with radius equal one. Unit circle just me
From playlist Trigonometry
The Circle (1 of 2: Starting with a verbal definition)
More resources available at www.misterwootube.com
From playlist Functions & Other Graphs
Determining where a point is on the unit circle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Quickly fill in the unit circle by understanding reference angles and quadrants
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0
From playlist Trigonometric Functions and The Unit Circle
How to quickly write out the unit circle
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
How to memorize the unit circle
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0
From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)
Apollonian packings and the quintessential thin group - Elena Fuchs
Speaker: Elena Fuchs (UIUC) Title: Apollonian packings and the quintessential thin group Abstract: In this talk we introduce the Apollonian group, sometimes coined the “quintessential” thin group, which is the underlying symmetry group of Apollonian circle packings. We review some of the e
From playlist My Collaborators
Derive the Area of a Circle Using Integration (x^2+y^2=r^2)
This video explains how to derive the area formula for a circle using integration. http://mathispower4u.com
From playlist Applications of Integration: Arc Length, Surface Area, Work, Force, Center of Mass
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
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
The math that solves social distancing (& lots more)
This is my first ever upload, which I created as a submission to the "Summer of Math Exposition 1" (SoME1) contest. I apologize sincerely for the poor audio quality. I promise to improve this the next time around! Here are all the links I promised during the video: Katie Steckles's blog
From playlist Summer of Math Exposition Youtube Videos
Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packings [2012]
slides for this talk: https://docs.google.com/viewer?url=http://www.msri.org/workshops/652/schedules/14560/documents/1681/assets/17223 Abstract: The Strong Density Conjecture states that for a given primitive integral Apollonian circle packing, every sufficiently large admissible (passing
From playlist Number Theory
Katherine Stange - The Sensual Apollonian Circle Packing
Talk given at the Pacific Northwest Number Theory Conference 2013.
From playlist My Math Talks
Taylor Dupuy | Spheres Packings in Hyperbolic Space
African Mathematics Seminar | 2 September 2020 Virtually hosted by the University of Nairobi Visit our webpage: https://sites.google.com/view/africa-math-seminar Sponsor: International Science Programme
From playlist Seminar Talks
Alex Kontorovich - Diophantine problems in thin orbits
Diophantine problems in thin orbits
From playlist 28ème Journées Arithmétiques 2013
18. Introduction to Crystallography (Intro to Solid-State Chemistry)
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018 Instructor: Jeffrey C. Grossman View the complete course: https://ocw.mit.edu/3-091F18 Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG Highlights Playlist: https://www.youtube.com/playlist?
From playlist MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Rigidity of the hexagonal triangulation of the plane and its applications - Feng Luo
Feng Luo, Rutgers October 5, 2015 http://www.math.ias.edu/wgso3m/agenda 015-2016 Monday, October 5, 2015 - 08:00 to Friday, October 9, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic year
From playlist Workshop on Geometric Structures on 3-Manifolds
Ex 1: Write General Equation of a Circle in Standard Form
This video provides an example of how to write the general equation of a circle in standard form to find the center and radius and then graph the circle. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Circles