Mathematical beauty is in the eye of the beholder, so I hesitate to 10 tweet's 'hidden message'? This is the path traced out a point on a circle is it rolls along a straight edge.

‘Chaos’ is an interdisciplinary theory stating that within the apparent randomness of complex systems, there are underlying patterns, constant feedback loops, repetition, self-similarity, fractals and self-organisation. You might in the meanwhile peruse the responses to, I voted to close even post-edit; I think tagging it. Well, engineers at Cornell Institute used the above work to make little electronic clocks get in sync, which is a very important aspect in the distributive computing and internet itself.

15 – Snowflakes, You can’t go past the tiny but miraculous snowflake as an example of symmetry in nature.

Some of this are visual, such as the mandelbrot set, while others are logically sublime, such as the recursive simplicities of peano arithmetic and surreal numbers.

How to decline a postdoc offer a few days after accepting it? One of the simplest example to understand is the ‘Butterfly Effect’ that describes how a small change in one state of a deterministic nonlinear system can result in large differences in a later state, e.g. Choose a mask, depending on whether the person is smiling or not, and line up the mask with the photo by dragging the mask. These Scientists Saw a Pandemic Coming.

It’s a simple problem with some startling results. — The golden ratio appears everywhere — DNA, human body, eye of hurricane etc — it appears in various structures of nature.

What is the shortest distance between point A and point B in the diagram below? Is there a puzzle that is only solvable by assuming there is a unique solution? How to manage a remote team member who appears to not be working their full hours? What aspects of image preparation workflows can lead to accidents like Boris Johnson's No. A remarkable result that can be treated at different grade levels is the nifty theorem known as the Bolyai-Gerwien-Wallace Theorem. The goal is to find the minimum functional of y. To learn more, see our tips on writing great answers. If your bowl is not a perfect tautochrone, depending on the shape, it might even by possible to impress your friends by being able to faster than they can by, paradoxically, (to them) not pointing your board directly down the slope, but by taking a path that traces out the brachistochrone.

straight through the folded paper.

Why thin metal foil does not break like a metal stick?