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Things of interest in Maths & Science

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Visualising the number π. The first frame shows 3 green segments filled in, these have area 3 square units and represent the first digit of π. Next is 1 brown segment which is ten times smaller than one of the 3 outside greens- i.e. it has area 0.1. The 4 inside that then have area 0.04 (3.14 so far) and as we zoom in more and more digits of π are revealed. Doing the same animation for 0.999.. would be a bit more boring but would prove 0.999..=1. What about for 0.333..?  This visualisation was suggested by Win Smith. [code]

Visualising the number π. The first frame shows 3 green segments filled in, these have area 3 square units and represent the first digit of π. Next is 1 brown segment which is ten times smaller than one of the 3 outside greens- i.e. it has area 0.1. The 4 inside that then have area 0.04 (3.14 so far) and as we zoom in more and more digits of π are revealed. Doing the same animation for 0.999.. would be a bit more boring but would prove 0.999..=1. What about for 0.333..?  This visualisation was suggested by Win Smith. [code]

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Matt Henderson

I post original stuff about maths, space, computational linguistics and other things that I like. This blog is meant to be accessible and interesting to people of all backgrounds. My undergrad was maths in Cambridge, and I'm now starting research in Speech and Language technology. Email me at If you're new, check out this overview of my posts. All code posted is in Mathematica.

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