Reality Explained. Different models. Simplicity versus complexity. Evolution of human thought.
Source: Malin Christersson, https://t.co/FYrkqSTND5, CC BY-NC-SA 4.0
"We sail within a vast sphere, ever drifting in uncertainty, driven from end to end. When we think to attach ourselves to any point and to fasten to it, it wavers and leaves us; and if we follow it, it eludes our grasp, slips past us, and vanishes forever."
~Blaise Pascal
Art: @pislices, https://t.co/8pfvsIjWhu, Used with permission.
“A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.”
— G. H. Hardy, A Mathematician’s Apology, 1941
Math.
This formula caught my eye today. This tweet is dedicated to all of you who stare at this tweet for more than 3.14 seconds. Source: https://t.co/Duo9J9tAQg
Mathematics. "Arjen's Comet."
Credit: Arjen Dijksman, @materion, sent me this creative visualization.
Draw a semicircle. The square roots magically emerge. Intersection points are labeled by their distances to the origin (0,0). The intersections of the perpendiculars with the circle determine the square root series. Here, circle diameter is 6.
This is Grace Hopper (1906–1992). She was a computer scientist, mathematician, and United States Navy rear admiral.
COBOL was designed in 1959 by CODASYL and was partly based on the programming language FLOW-MATIC designed by Grace Hopper.
Image: https://t.co/Iwg3TCwgj2
Mathematics, physics, chaos. Apparent unpredictability. Life explained.
The "Lorenz Attractor." Little blue butterflies, circulating forever.
Source: https://t.co/GivloDIDmc, CC BY-NC-SA 3.0
“Perhaps an angel of the Lord surveyed an endless sea of chaos, then troubled it gently with his finger. In this tiny and temporary swirl of equations, our cosmos took shape.”
—MARTIN GARDNER, “Order and Surprise,” 1950
Reality Explained.
Imagine having a brain, big enough to fully appreciate "Penrose Graphical Notation." They look like blueprints from another world. Source: https://t.co/beilFsuG2a
Mathematics.
Wow. Draw a magenta vertical line at x=1. Next, draw semicircles from 0 to n. The heights of the intersection points on the magenta line create the ascending square roots shown. Which "God" decided this would be the best way to set up the universe?
Mathematicians dream of π.
Let's imagine handing this to space-faring extraterrestrials as a gift, or to determine how many of these they have discovered themselves.
This equation set is circulating widely on the web. Example: https://t.co/nU4QkAg1ig