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.
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Richard Green
3
Repunits and prime numbers
A repunit (“repeated unit”) is a number that only contains the digit 1 in some number base.
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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…
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Richard Green
Hexagonal knot mosaics
A hexagonal knot mosaic is a way to draw a knot on a hexagonal board.
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Richard Green
7

October 2024

Penny graphs
A penny graph can be created from a non-overlapping arrangement of unit circles on a flat surface.
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Richard Green
2
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…
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Richard Green
3
Ulam words and the Ulam sequence
The Ulam sequence is a sequence of positive integers xn, where x1=1, x2=2, and where each xn for n > 2 is defined to be the smallest integer that can be…
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Richard Green
5
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.
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Richard Green
3

September 2024

Facially complete graphs
The Four Colour Theorem proves that no more than four colours are required to colour the regions of any map in such a way that no two adjacent regions…
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Richard Green
8
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…
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Richard Green
2
Knots and the Menger sponge
The Menger sponge is a fractal formed by iteratively subdividing a cube into 27 equal cubes, and then removing the central cube of each face and the…
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Richard Green
3
Tilings and metallic means
Two of the most famous two-dimensional models of quasicrystals are the Penrose rhomb tiling and the Ammann–Beenker tiling. Each of these types of tiling…
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Richard Green
2
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