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no historical likeness exists

429 – 500 CEChina (Liu Song / Southern Qi dynasties)

Zu Chongzhi

is the same number for every circle, and you can pin it down as carefully as you like by squeezing it between polygons.

A short story

A Chinese mathematician and astronomer who, around 480 CE, computed to seven decimal places () using the same inscribed-and-circumscribed-polygon method that Archimedes had used seven centuries earlier (with -sided polygons; Zu went much further, to -gons). His seven-decimal value stood as the world record for almost a thousand years. He also gave an excellent rational approximation, , that matches to six decimal places: handy when fractions were the only practical written form for a precise number.

In their own words

The exact ratio is hard to know; one might call it about three and a seventh. The truth lies between three and a tenth and three and a seventh.

Paraphrased: from the tradition of Chinese mathematical writings on , after Zu Chongzhi's computations in the Zhui Shu, c. 480 CE.

The lab their idea turned into

Wheelwright Lab

Every circle hides the same number. Roll a wheel; measure the trail; meet .

Open Wheelwright Lab