A Piece of the Pi: mathematics explained

A Piece of the Pi: mathematics explained

Intersections of chords of a circle

Richard Green's avatar
Richard Green
Jun 04, 2025
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The picture above shows a regular polygon with 15 vertices, including all the diagonals between the 15 vertices, and all the intersections between the diagonals. These points of intersection, shown in red, are not distributed evenly throughout the shape, and they tend to be located away from the centre. In 1962, Jovan Karamata proved a formula that pred…

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