Different sizes and perspective of the same original sample of 2 and 6 neurons randomly communicating with each other. The blue tiles – 2 neurons communicating in 2 layers. The tan tiles, 6 neurons communicating in 6 layers.
Not much difference it seems, but there is a nice fractal dimension to it and it makes for a very orderly tiling too!
I guess I should thank Daniel Smilkov and Shan Carter for writing this script for TensorFlow. Good job!
Neural network – the Eldorado of randomness!
This image is a representation of a neural network – thanks to our friends at Tensorflow. Confused? It could be my brain, your brain at work looking at this pictures as thousand – maybe million of our neurons random-connect to each other every millisecond to interpret and make sense of what we see. Not convinced? That’s how AI are been trained to solve problems & be smarter.
A mind is a pretty thing – if we can make sense of it!
Random was the selection of a Byzantine design from 1856, Owen Jones’ Grammar of Ornament. Random, the reconstructing an 11th-century geometry with tools of 20th-century mathematics, random getting the work completed just in time for the Orthodox Easter celebration.
Random comes in many flavors – this time the conjunction of unplanned for events leading to a significant ending. Happy (Orthodox) Easter all!
And oh yes, I also inserted an element of “graphic randomness” in this image – the background color, size & positioning. The central orb is a real-time image of the planet Mars, courtesy of NASA.
If you’re interested to know more about the design’s geometry and origin, I recommend this article by Conversano and Tedeschini-Lalli for the Journal of Applied Mathematics. Enlightening!
Random positioning of a double-stranded RNA crystal structure.
Appropriate on this Easter day! While bells are (supposedly) flying to Rome, RNA – the source of most know life-forms – is reaching for the sky
Credit goes to A. S. Rose, Bradley, Valasatava, Duarte, Prlić, and P.W. Rose for making their original work available in the RCSB library.
Monte Carlo simulation of a human TTR injected with CuCl2. What more can I say? Nature is beautiful. Humans are part of nature – and quite beautiful too, even at the protein level!
Next to a Voronoi, a Delaunay triangulation is a dual graph of the same diagram. It is used for modeling and mapping randomness in 3D.
Apparently, It didn’t make for a very happy camper in this image. The spiral originated in a random set of hydrogen particles I triangulated on one side and used as a texture for the inverted dodecahedron on the left.
It kind of reminds me of a Tahitian Tiki wooden statue. Legends say that Tiki was the progenitor of humanity. Hydrogen is the simplest known element in the universe. Did one lead to the other? Randomness in art can be unpredictable too.
Mathematicians have a good sense of humor, I hope. Linking points on an eggshell make for surprising Voronoi diagrams. The background is a random size and positioning of the particles I used to create the Voronoi tessellation.
Random design #9
Voronoi make for nice stain-glass window patterns. A Voronoi diagram is a partitioning of a plane into regions based on distance to point. When the points are set randomly – it creates unexpected shapes.
The object on the right side? An import from last week’s design. So many of you liked it, I felt I owed it to you! Thx for the support.
Random and fractal.
An interesting combination if anything! Here, a random color spread on the honeycomb background, a fractalized texture on the spheres and the central frame dot pattern. Both originated in a quad-grid on the Bio7 program
What you see is a random flow of fluorescent molecules in an organic fiber. The color? If you had an infra-red cat-like vision, maybe that’s what it would look like for you. And as a human? I’m still pondering.
Randomness comes in many shapes!