Tuesday, October 6, 2026

StrangeAttractors

 



Explore the mathematical phenomenon of self-similar topological geometries by visiting StrangeAttractors.

Some physical systems — such as the atmosphere, a geomagnetic dynamo, or a simple electronic circuit — follow entirely deterministic laws, yet behave unpredictably over the long term: tiny differences in initial conditions amplify exponentially over time (the famous "butterfly effect"). When this occurs, the system's trajectory in state space does not disperse randomly, nor does it collapse into a fixed point or a simple periodic cycle. Instead, it winds around an intricate, self-similar geometric structure known as a strange attractor.

StrangeAttractors is a computational laboratory that generates candidate systems of differential equations, simulates them numerically, and rigorously verifies whether they produce deterministic chaos — distinguishing true chaotic dynamics from trajectories that simply diverge, decay into a fixed point, or follow non-chaotic periodic orbits.

Here are some systems I found using the site:



This site was created by Vincenzo Manto.

Thursday, October 1, 2026

Orion Nebula

 

(Image: James C. McMahon)

In the constellation, Orion, the Orion Nebula is the middle star in Orion's sword. It is also known as M42 or Messier 42.

The photo shown above was taken with my new smart telescope, the Seestar S50 Pro. This photo was "stacked" over a twenty-minute exposure. While the telescope has many special settings, features and filters, this photo was taken in just my second evening of viewing. I didn't employ Equatorial Mount Mode which would have made for smoother tracking over the long exposure time. Additionally, this photo was taken in Southern California with smog and plentiful light pollution. I'm really looking forward to my future viewing experiences when I bring it to the mountains.

The Orion Nebula is 1,267 light years from Earth (1.1987E+16 kilometers or 7.4482E+15 miles).

Wednesday, August 5, 2026

Rent out your PC or rent computing time

 


Use this link to rent computing time: https://cloud.vast.ai/?ref_id=639867 at Rent GPUs | Vast.ai.\

Also, earn while your computer is sitting idle: Host Your GPUs on Vast.ai.

MAGNIFICA HUMANITAS - Encyclical Letter of Pope Leo XIV

Pope Leo XIV (Image by: Edgar Beltrán, The Pillar  Deed - Attribution-ShareAlike 4.0 International - Creative Commons  ) On May 25, 2026, Po...

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