Gerard Westendorp on Nostr: Last Saturday I was at the Mathematics & Art day "Ars et mathesis" in Eindhoven. ...
Last Saturday I was at the Mathematics & Art day "Ars et mathesis" in Eindhoven. I’ll post about a couple of nice things I saw/learned.
The first is about the so-called “Plastic ratio”. It is a bit like the Golden ratio, instead of the solution to \(x^2 = x+1 \) it satisfies \(x^3 = x+1 \); it is about 1.43. Instead of the Fibonacci numbers you have the Padovan numbers, whose recurrence relation is \( n_i = n_{i-2} + n_{i-3} \) .
I figured out how to do a spiral of squares whose sized as the Padovan numbers, similar to the Fibonacci-Golden Ratio spiral.
The Plastic ratio is used in Architecture.
Wikipedia:
https://en.wikipedia.org/wiki/Plastic_ratio 
Published at
2024-11-20 01:01:19Event JSON
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