Here’s an experience I’ve had roughly six million times.
- A mathematical topic arises.
- “You know,” I say, “someone has a great tweet about this… somewhere…”
- In order to find it, I am forced to read all of the tweets, ever.
- I am reminded that “all of the tweets ever” is rather too many tweets.
So about a year ago I started a compendium. Tweets, yes, but also videos, apps, memes… anything stimulating or arresting that I can use to embroider my lessons. For a while, this document lived where all important documents live: as a gmail draft. But now I share it as a blog post, and I intend to continue updating it as new ones cross my ken.
NOTE: I will, where convenient, use screenshots and links, because WordPress’s embedded tweets sometimes take ages to load.
NUMBER AND SCALE
A brilliant anagram from Colin Beveridge:
The timeless classic Powers of Ten, arguably the best film of 1977 (suck it, Annie Hall):
The mesmerizing interactive “Scale of the Universe” app (which requires you to enable Flash, but just do it).
Also, this black hole:
An ellipse as the maximum heights of a family of projectiles:
Throwing an object at the same speed but different angles defines an ellipse via its maximum height https://t.co/vQ8NMssCMf—
〈 Berger | Dillon 〉 (@InertialObservr) July 22, 2019
And again, this time for figuring out the scoring system in Australian Rules Football:
Four place mats, arranged to make a quadratic identity at the dinner table:
Polar coordinates on pizza:
Putting sauce on a pizza. https://t.co/Oe9gsZaSjz—
Machine Pix (@MachinePix) August 28, 2016
GEOMETRY AND TRIGONOMETRY
Volumes of a cylinder, a sphere, and a cone:
Volumes of earth, earth’s air, and earth’s water:
Animated visual proof that any polygon can be rearranged into any other polygon of equal area:
For your trigonometric Halloween, the blood function:
Defining a radian with a wooden model:
Tragic Tweet Delete! -- I thought I would at least add it back : ) We are interested in sending these to folks, es… twitter.com/i/web/status/1…—
MathHappens (@MathHappensOrg) October 01, 2019
Simple harmonic motion:
Beautiful shapes created by simple harmonic motion 🧐 https://t.co/ifsFX4nfN9—
Fermat's Library (@fermatslibrary) January 02, 2020
CALCULUS AND DYNAMICAL SYSTEMS
Riemann sums (comparing upper and lower sums as the grid is refined):
Tungsteno (@74WTungsteno) August 11, 2019
A professor solves an optimization problem (“smallest surface area for a given volume”), writes a company that makes cat food to ask why they don’t use this solution, and receives an incredibly thoughtful and interesting reply:
A real-life butterfly effect:
Steven Strogatz (@stevenstrogatz) September 10, 2019
The exquisite sensitivity of the double pendulum:
50 double pendulums, whose initial velocities differ only by 1 part in 1000 https://t.co/3b75BDkwF1—
〈 Berger | Dillon 〉 (@InertialObservr) September 30, 2019
PROBABILITY AND STATISTICS
Independence is a delicate and rare phenomenon:
What do probabilistic words really mean?
I see you Anscombe’s Quartet, and I raise you the Datasaurus:
The dangers of using r^2 as an effect size estimate:
The normal distribution in action:
Lionel Page (@page_eco) September 03, 2019
I had no idea you could do this to take a dead whiteboard marker and give it life again! Source:… twitter.com/i/web/status/1…—
Robert Kaplinsky (@robertkaplinsky) July 06, 2019