A Piece of the Pi: mathematics explained
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Random coprime numbers
Two integers are called coprime, or relatively prime, if they have no factors in common other than 1.
Mar 14
•
Richard Green
12
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A Piece of the Pi: mathematics explained
Random coprime numbers
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Counting dimer tilings
A dimer is a 2×1 domino-shaped rectangle.
Feb 21
•
Richard Green
5
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A Piece of the Pi: mathematics explained
Counting dimer tilings
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The maximum number of SETs for 12 cards
SET is a card game that is played with a deck of 81 cards.
Feb 10
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Richard Green
15
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A Piece of the Pi: mathematics explained
The maximum number of SETs for 12 cards
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Identifying bottlenecks in networks
A large network, such as an infrastructure network or a social network, may contain highly connected regions that are linked to each other by…
Feb 3
•
Richard Green
8
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A Piece of the Pi: mathematics explained
Identifying bottlenecks in networks
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The mathematics of the game Waffle
Waffle is an online daily word game along the lines of Wordle. The game is played on a 21-square grid that resembles a waffle, and the aim is to…
Jan 22
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Richard Green
8
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A Piece of the Pi: mathematics explained
The mathematics of the game Waffle
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7
Constructing space-filling curves
A curve that reaches every point in the unit square is known as a space-filling curve. One of the most famous space-filling curves is the Hilbert curve…
Dec 30, 2024
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Richard Green
16
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A Piece of the Pi: mathematics explained
Constructing space-filling curves
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The Ramanujan Machine
The mathematician Srinivasa Ramanujan (1887–1920) proved many remarkable identities, such as the formula shown above for the square root of πe/2.
Dec 23, 2024
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Richard Green
15
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A Piece of the Pi: mathematics explained
The Ramanujan Machine
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Chess and the number e
The number e=2.718281828459045… is one of the most famous irrational numbers.
Dec 16, 2024
•
Richard Green
30
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A Piece of the Pi: mathematics explained
Chess and the number e
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4
A polynomial with Rubik’s cube symmetry
Rubik’s Cube is a well-known combination puzzle that was invented by Ernő Rubik in 1974.
Nov 25, 2024
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Richard Green
15
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A Piece of the Pi: mathematics explained
A polynomial with Rubik’s cube symmetry
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3
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…
Nov 11, 2024
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Richard Green
6
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A Piece of the Pi: mathematics explained
The Parks puzzle
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Hexagonal knot mosaics
A hexagonal knot mosaic is a way to draw a knot on a hexagonal board.
Nov 3, 2024
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Richard Green
4
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A Piece of the Pi: mathematics explained
Hexagonal knot mosaics
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7
Penny graphs
A penny graph can be created from a non-overlapping arrangement of unit circles on a flat surface.
Oct 24, 2024
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Richard Green
4
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A Piece of the Pi: mathematics explained
Penny graphs
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