It's Pi Day, the day that celebrates π, which, written in decimals, begins 3.14, or March 14. For @TheConversationUS, Daniel Ullman, a professor of mathematics, writes about the silliness of Pi Day, and the universality of π, which, he says "lives not only in this universe but in any conceivable universe. It existed even prior to the Big Bang. It is permanent and unchanging."
In this article, also for @TheConversationUS, math professor Manil Suri makes the case for other math holidays. "For January, I nominate the Golden Ratio, phi," he says. "Phi equals 1.618…, and since there’s no Jan. 61, we could celebrate it on Jan. 6." He'd like to see shindigs for Euler's number (Feb. 7), and Feigenbaum’s constant delta (April 6 — or maybe 7, if we're rounding up). Read more here.
Vous pouvez utiliser les nombres de Fibonacci pour convertir approximativement les miles en km et vice versa. Si vous avez besoin de convertir des kilomètres en miles, il vous suffit de trouver le nombre de Fibonacci précédent. Pourquoi ça marche ? Il y a 1,609 km dans un mile, presque le nombre d'or. Or, le rapport de deux nombres consécutifs de la suite de Fibonacci tend justement vers le nombre d'or.
My nautilus with golden rectangle print for Fibonacci Day. November 23 if written in MM/DD format recalls the #mathematician Leonardo Bonaccio of Pisa (c. 1170 - c. 1240 or 50) aka Fibonacci’s sequence (1,1,2,3…) where each number is the sun of the previous two. He used it to describe rabbit populations, but the sequence is commonly observed in nature, 🧵1/2
One of the most important things today, to understand the #GoldenRatio. Other significant thing is to create a worldwide debate about #NikolaTesla and his inventions.
The prompt for day 10 is 'Nowhere-Neat'. In mathematics, a nonwhere-neat tiling is one where no two tiles share an edge (they do meet at their edges, but one edge is always a different size or offset, so they don't share the entire edge).
As it turns out, the tiling I made for day 9 was already nowhere-neat (https://mathstodon.xyz/@OscarCunningham/111229992806552483). But yesterday I screwed up the colouring in the image. I tried to use three colours so no adjacent tiles have the same colour. But in fact this is impossible. You can see at the bottom of the image two white rectangles are next to each other.
So I corrected the colouring to use four colours, worked out how to colour the parts with negative x coordinate, and mapped the whole thing to the disc model of the hyperbolic plane.
The prompt for day 9 is 'Hierarchy'. This reminded me of the binary tiling (https://en.wikipedia.org/wiki/Binary_tiling), where every square is arranged in a hierachy with a manager and two subordinates.
This is an animated mathematically ideal simulation of the growth of sunflower seeds. 🌻
Generation algorithm: Each seed moves at a fixed velocity from the center and growing in size proportional to the square root of its distance from the center. Each seed spawns once every frame and the seed's fixed velocity's angle is a multiple of the golden angle (~137.5°).