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
11
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A Piece of the Pi: mathematics explained
Random coprime numbers
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2
Rubik’s abstract polytopes
The well-known puzzle Rubik’s Cube can be generalized in a number of ways, for example by turning it into a 4×4×4 or 5×5×5 puzzle.
Mar 3
•
Richard Green
9
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A Piece of the Pi: mathematics explained
Rubik’s abstract polytopes
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February 2025
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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2
The maximum number of SETs for 12 cards
SET is a card game that is played with a deck of 81 cards.
Feb 10
•
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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January 2025
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
•
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
Turning a triangle into a square
In 1902, Henry Dudeney showed that it is possible to cut an equilateral triangle into four polygonal pieces, and then to rotate and translate those…
Jan 11
•
Richard Green
23
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A Piece of the Pi: mathematics explained
Turning a triangle into a square
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3
December 2024
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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3
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
•
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
Chutes, ladders, and Markov chains
The classic board game of Snakes and Ladders (or Chutes and Ladders) originated almost 2000 years ago in India, where it is known as Moksha Patam (see…
Dec 4, 2024
•
Richard Green
12
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A Piece of the Pi: mathematics explained
Chutes, ladders, and Markov chains
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2
November 2024
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
•
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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