Don’t miss #ComplexityThoughts: Issue #83
This week you will find latest research on AI, biology and population dynamics.
open.substack.com/pub/manlius/...
My chaotic attractor.
Made with #python #numpy #matplotlib and #marimo (and also #wigglystuff)
Make a binary tree listing all matrix products of
1 0 and 1 1
1 1 0 1
If you multiply
1
1
on the left by all these matrices, you get the Calkin-Wilf tree. If you multiply
1 1
on the right by these matrices, you get the Stern-Brocot tree!
math.colorado.edu/~kstange/pap...
Another one!
Made with #python #numpy #matplotlib and #marimo (and also #wigglystuff)
A few days ago, I had the pleasure of giving a guided tour of my exhibition The Invention of Time to Sebastià Xambó, my high school mathematics teacher, who introduced me, back then, to some great books (lk Arbib’s here). Never forget to tell your teachers how important they have been in your life.
Extremely addictive, this.
It's taken way longer than I had originally anticipated (about 18 months), but I'm super excited to say that the project to translate Nils Aall Barricelli's groundbreaking 1954 paper on computational evolution and artificial life - "Esempi Numerici di Processi di Evoluzione" - is now complete! [1/2]
Video
Video
The last one?
Manlio De Domenico
Simone Conradi
Simone Conradi
A 5-fold quasicrystal as the orbit of the quasiaddition x ⊣ y = τ²x − τy on a regular pentagon (τ = Φ + δ). At δ = 0 you're exactly at the golden ratio. Sweep around it and the lattice breathes. Made with #python #numpy #matplotlib and #marimo.
John C. Baez
Ricard Solé
Karsten Konrad 🇪🇺
Tim Taylor
#datavis
Video
Simone Conradi
Simone Conradi
Miska Knapek
Anyone here read Berman and Moody's "The algebraic theory of quasicrystals with five-fold symmetries"? They study an operation called quasiaddition: x⊢y = Φ²x - Φy where Φ = (1+√5)/2. Doing that repeatedly to all the points in the pentagon shown here generates a quasicrystal, they claim!
(1/2)
John C. Baez
✨ New project! ✨
Mapping the hidden infrastructure which connects to >70% of plants, extends root networks up to 100x and reaches a length of 1 BILLION times the distance to the sun 🤯
Arbuscular mycorrhizal fungi!
Learn all about them here:
a-hidden-infrastructure.spun.earth
w/ @spun.earth 💚
