A Piece of the Pi: mathematics explained

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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
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
Toroidal Hitomezashi patterns
Hitomezashi is a traditional form of Japanese embroidery in which patterns arise from the alignment of single stitches made on a grid, as in the picture…
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Richard Green
4
The horned sphere and the game of Hex
This picture shows the Alexander horned sphere, which is a very nonstandard way to embed a sphere into 3-dimensional space. The horned sphere, which was…
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Richard Green
4
Ham sandwiches and necklace splitting
At any given time, there are two diametrically opposite points on the earth’s surface that have the same temperature and the same barometric pressure.
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Richard Green
4
Fractal squares
This animation shows the construction of the Sierpiński carpet, a fractal that was first described by Wacław Sierpiński in 1916.
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Richard Green
4
Prime knots and knot mosaics
A knot in mathematics refers to an embedding of a circle in three dimensional Euclidean space. Knots can be thought of as closed loops of string, and…
 • 
Richard Green
4
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