Paul Arnheim-Projekt • Feed
avatar
Paul Arnheim-Projekt @paula-projekt.bsky.social

Thank you so much! I'm sorry that I didn't see your reply earlier. And indeed, the universe does speak through numbers, e.g. phi, the Golden Ratio 1.6180... that is omnipresent in nature.

The parabola, drawn with this ingenious toy/tool:https://www.matheretter.de/rechner/gfplot, is f(x)=1x2-1x-1, its roots or zeros are x1,2 (1-5⁰·⁵)/2 and (1+5⁰·⁵)/2 with x2 happens to be phi, the Golden Ratio. Fibonacci number ratios are 1, 1,5, 5/3, 8/5, 13/8 with n/(n+1)+1=(n+1)/n => n+n+1=(n+1)²/n 2n²+n=n²+2n+1 n²-n-1=0 which leads to the function f(x)=x²-x-1 Square addition: (x-0.5)²=x²-x+0.25 =>f(x)=(x-0.5)²-1.25 1.25=5/4 (5/4)⁰·⁵=x-0-5 x1,2=(1+/-5⁰·⁵)/2
dec 18, 2024, 11:48 pm • 4 0

Replies

avatar
DGLMT @insightbalance.bsky.social

Absolutely! From the number of electrons swirling around an atom to the number of planets swirling around a sun, numbers are life... and, most critically, can be demonstrated with LEGOs 🤓

dec 20, 2024, 8:28 am • 4 1 • view
avatar
Carrie Carnes 🦋 @carriercarnes.bsky.social

I love a good Lego demonstration. 😉

dec 20, 2024, 9:39 pm • 0 0 • view
avatar
Paul Arnheim-Projekt @paula-projekt.bsky.social

"Numbers are life"; This is so true! Thank you for your reply : )

dec 20, 2024, 4:50 pm • 2 0 • view