A Piece of the Pi: mathematics explained

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A polynomial with Rubik’s cube symmetry
Rubik’s Cube is a well-known combination puzzle that was invented by Ernő Rubik in 1974.
 • 
Richard Green
3
Repunits and prime numbers
A repunit (“repeated unit”) is a number that only contains the digit 1 in some number base.
 • 
Richard Green
5
The Parks puzzle
The Parks puzzle is a Sudoku-like game that is played on a square grid containing different coloured regions known as parks. The objective is to place…
 • 
Richard Green
Hexagonal knot mosaics
A hexagonal knot mosaic is a way to draw a knot on a hexagonal board.
 • 
Richard Green
7
Penny graphs
A penny graph can be created from a non-overlapping arrangement of unit circles on a flat surface.
 • 
Richard Green
2

Beginner Posts

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Repunits and prime numbers
A repunit (“repeated unit”) is a number that only contains the digit 1 in some number base.
 • 
Richard Green
5
Misère Connect Four
It is well known that it is impossible to win at noughts and crosses (tic-tac-toe) unless your opponent makes a mistake, because if both players play…
 • 
Richard Green
3
How many triangles are there?
A well-known type of brain teaser invites the reader to count the number of triangles formed by dividing up a larger triangle using straight lines.
 • 
Richard Green
3
Wherever you go, I win!
In theory, the objective of chess is to capture the king, but in practice, the game ends two moves earlier in the position of checkmate. We can imagine…
 • 
Richard Green
2
Permutation Wordle
In the well-known game Wordle, a player has six attempts to guess a five-letter English word.
 • 
Richard Green
3
Top posts
How to build a computer using origami
 • Richard Green
1
Curves and L-systems
 • Richard Green
5
The Rascal triangle
 • Richard Green
6
Diophantine m-tuples
 • Richard Green
1
Egyptian fractions
 • Richard Green
6
A Piece of the Pi: mathematics explained
A Piece of the Pi: mathematics explained
For the intelligent general reader who likes mathematics.

Computer Science 🖥️

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The Parks puzzle
The Parks puzzle is a Sudoku-like game that is played on a square grid containing different coloured regions known as parks. The objective is to place…
 • 
Richard Green
Solving a maze with two exits
Given a maze based on a square grid with an entrance at A and two exits at B and C, is there a navigational strategy that guarantees a 50% probability…
 • 
Richard Green
How to solve any maze using the digits of π
Is there a universal, deterministic sequence of actions that can solve any maze, assuming that the actions are applied blindly with no sensor feedback?
 • 
Richard Green
10
PackIt! (a rectangle packing game)
The picture above comes from the recent paper PackIt!
 • 
Richard Green
105 trillion digits of pi
The number π (3.1415926…) has now been computed to 105 trillion decimal places! The computational background behind this feat is discussed by Jordan…
 • 
Richard Green
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