A Piece of the Pi: mathematics explained

A Piece of the Pi: mathematics explained

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Abstract Algebra 𝑥

Games in projective space
Projective geometry is a version of geometry in which there are points, lines, and planes, but in which there are no such things as distance or parallel…
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Richard Green
2
The maximum number of SETs for 12 cards
SET is a card game that is played with a deck of 81 cards.
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Richard Green
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…
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Richard Green
6
A polynomial with Rubik’s cube symmetry
Rubik’s Cube is a well-known combination puzzle that was invented by Ernő Rubik in 1974.
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Richard Green
3
Wallpaper groups and interlocking assemblies
The patterns in the picture above illustrate an example of a wallpaper group, which is a two-dimensional repeating pattern with a particular kind of…
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Richard Green
2
Picturing symmetry
The picture above by Matthew Macauley shows the multiplication table (or Cayley table) of the symmetries of a square.
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Richard Green
Pyritohedral symmetry
The mineral iron pyrite, also known as “fool’s gold”, usually forms cube-shaped crystals, but it can also form crystals like these. At first glance…
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Richard Green
The McNugget monoid
How many chicken nuggets can you buy if they are only sold in packs of 6, 9 and 20? The picture shows all the numbers from 0 to 44 that can be made from…
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Richard Green
9
Sandpiles and the Vicsek fractal
This picture shows an example of a stable configuration in the abelian sandpile model on a square lattice. This is a rectangular square array of a large…
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Richard Green
Hadamard matrices
A Hadamard matrix of order n is an n×n matrix whose entries are all +1 or –1, with the property that any two distinct rows agree in exactly half of…
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Richard Green
Automorphic numbers
An automorphic number is a number whose square ends in the digits of the number itself.
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Richard Green
The number 163
The numbers π and e are famous constants, approximately equal to 3.141592653589793... and 2.718281828459045..., respectively. Remarkably, the number e…
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Richard Green
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