### Tag Archives: Geometry

## Twin & Grandfather Paradox | Science4All 20

## Einstein’s biggest blunder | Relativity 18

## Einstein’s heart palpitations | Relativity 17

## Is gravity acceleration or curvature? Relativity 16

## General relativity explained! Relativity 15

## Hyperbolic Geometry | Relativity 11

## Curved-space geometry | Relativity 10

## What’s wrong with that map? Relativity 9

## The shapes of soccer balls | Relativity 8

## John Nash, a Beautiful Mind | Genius 1

## Can you glue opposite edges of a square? Relativity 7

## Could the Earth be flat? Relativity 4

## Why is π so interesting? Relativity 1

## Fractals, Mandelbrot, Pixar (Trek through Math 4/8)

## Topology, Homotopy and Poincaré’s Conjecture (Trek through Math 3/8)

## The Cubic Ball of the 2014 FIFA World Cup

I know this sounds crazy. Even stupid. But Adidas did design a cubic ball, called brazuca, for the 2014 World Cup. And, yet, this cubic ball is rounder than any previous ball in football History. How is it possible? This article explains it.

## The Tortuous Geometry of the Flat Torus

Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

## The Most Beautiful Equation of Math: Euler’s Identity

In 1988, Euler's identity was elected most beautiful theorem of mathematics. It has been widely taught worldwide. But have you ever stopped to really sense the meaning of this incredible formula? This article does.

## The Revolutionary Galois Theory

In 1832, Évariste Galois died. He was 20. The night before his death, he wrote a legendary letter to his friend, in which he claims to have found a mathematical treasure! Sadly, this treasure had long been buried in total indifference! It took nearly a century to rediscover it! Since then, Galois' legacy has become some of the finest pure mathematics, which represents a hugely active field of research today with crucial applications to cryptography. Galois' work is now known as Galois theory. In essence, it unveils the hidden symmetries of numbers!

## Linear Algebra and Higher Dimensions

Linear algebra is a one of the most useful pieces of mathematics and the gateway to higher dimensions. Using Barney Stinson's crazy-hot scale, we introduce its key concepts.