Magic circles were invented by the Song dynasty (960–1279) Chinese mathematician Yang Hui (c. 1238–1298). It is the arrangement of natural numbers on circles where the sum of the numbers on each circle and the sum of numbers on diameters are identical. One of his magic circles was constructed from the natural numbers from 1 to 33 arranged on four concentric circles, with 9 at the center. (Wikipedia).
What exactly is a circle? | Arithmetic and Geometry Math Foundations 28 | N J Wildberger
Moving beyond points and lines, circles are the next geometrical objects we encounter. Here we address the question of how best to introduce this important notion, strictly in the setting of rational numbers, and without metaphysical waffling about `infinite sets.' This lecture is part of
From playlist Math Foundations
👉 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)
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
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)
The unit circle plays a key role in understanding how circles and triangles are connected, as well as providing a simple way to introduce the basic trigonometric functions (sine, cosine and tangent). This video describes the unit circle very carefully with the goals of providing basic insi
From playlist Trigonometry
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)
Learn how to construct 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)
IMS Public Lecture: Magic Pictures About Higgs Bundles
Tamás Hausel, École Polytechnique Fédérale de Lausanne, Switzerland
From playlist Public Lectures
The Three/Four bridge and Apollonius duality for conics | Six: A course in pure maths 5 | Wild Egg
The Three / Four bridge plays an important role in understanding the remarkable duality discover by Apollonius between points and lines in the plane once a conic is specified. This is a purely projective construction that works for ellipses, and their special case of a circle, for parabola
From playlist Six: An elementary course in Pure Mathematics
Epicycles, complex Fourier series and Homer Simpson's orbit
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today’s video was motivated by an amazing animation of a picture of Homer Simpson being drawn using epic
From playlist Fourier
Matt Baker - Mathemagical Themas - CoM Oct 2021
I will perform — and explain! — some magic tricks based on interesting mathematical principles. Matt Baker is an internationally renowned Georgia Tech mathematics professor by day and an accomplished magician by night. Matt received his Ph.D. in Mathematics from UC Berkeley in 1999 and wa
From playlist Celebration of Mind 2021
Ravi Vakil: Algebraic geometry and the ongoing unification of mathematics
Abstract: I will try to share a glimpse of this strange unification of many different ideas. This talk is aimed at a general audience, and no particular background will be assumed. When we look carefully at nature, we can discover surprising coincidences, which suggest deeper underlying s
From playlist Popular presentations
The ARCTIC CIRCLE THEOREM or Why do physicists play dominoes?
I only stumbled across the amazing arctic circle theorem a couple of months ago while preparing the video on Euler's pentagonal theorem. A perfect topic for a Christmas video. Before I forget, the winner of the lucky draw announced in my last video is Zachary Kaplan. He wins a copy of m
From playlist Recent videos
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today's video is about plane shapes that, just like circles, have the same width in all possible directi
From playlist Recent videos
A Tribute to Berlekamp, Conway, Guy, Graham, and Randi - G4G14 Apr 2022
In the long four years between G4G13 and G4G14, we lost some towering figures from the G4G community. It is hard for many of us to see how we can go on without them, but their legacy will live on. In this tribute session, we honor Elwyn Berlekamp, John Conway, Richard Guy, Ron Graham, and
From playlist G4G14 Videos
Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24
From playlist Recent videos
Watch me complete 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)
Jessica Sklar - Mathematical Art Inspirations, Instantiations, and Installations - CoM Feb 2022
During 2020, while the world shut down, creativity flourished. Choral groups sang over Zoom, friends attended virtual cocktail hours, and mathematicians and artists spent their lockdown hours knitting, painting, and constructing wonders. In this talk, I’ll show and discuss pieces by QED A
From playlist Celebration of Mind
