### Reimagining mathematical notations

Maths notation is often overly complex. Let’s see how this can be better:

### Skewes’ Massive Number

Heard of Skewes’ Number? It is the number above which must fail (assuming that the Riemann hypothesis is true), where is the prime counting function and is the logarithmic integral. Isaac [...]

### Let’s talk about Zipf’s Law

Zipf’s law /ˈzɪf/, an empirical law formulated using mathematical statistics, refers to the fact that many types of data studied in the physical and social sciences can be approximated with [...]

### Taylor’s Series of a Polynomial

Remember the working on Taylor Series from your A-level Math MF15? This video walks you through what would be the Taylor’s Series of a polynomial. Surprised? Can you figure out why this is [...]

### How many chess games are possible?

The Shannon number, named after Claude Shannon, is an estimated lower bound on the game-tree complexity of chess of 10120, based on about 103 initial moves for White and Black and a typical game [...]

### A Mysterious Math Doodle

Mathematicians gossip too. Part of the letter John Herschel wrote to Charles Babbage contains a little puzzle no one figured out:

### Draw some triangles

Try this. With 3 straight lines, construct 9 non-overlapping triangles on an alphabet M. This appears in The Simpsons’s 26th season finale “Mathlete’s Feat”! Can you do [...]

### Why is it all triangles in 3D

We see objects all the time and our brains decode the 3D shapes, but how do computers model these shapes and why break it all down to triangles?

### Patterns in prime numbers

So you still think prime numbers are random? Take a look at this really cool project, it kinda reminds me of the sieve of Eratosthenes: El Patrón de los Números Primos: Prime Number Patterns [...]

### The Klein Bottle

Carlo Séquin on his search for the elusive “fourth type of Klein bottle”. So what’s a Klein bottle? In mathematics, the Klein bottle is an example of a non-orientable surface; [...]

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