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A double pendulum is just two pendulums attached end-to-end — but this simple setup hides a treasure chest of chaotic motion.
Interactive double pendulum demo: explore chaos theory, adjust parameters, and see how tiny changes lead to unpredictable motion.
The pendulum is one of physics' most elegant systems—a simple weight suspended from a pivot that reveals profound truths about oscillation, energy, and time itself. From Galileo's first observations to modern atomic clocks, the pendulum has been instrumental in our understanding of the physical world.
Explore simple harmonic motion, adjust length and gravity, and see physics come alive
The double slit experiment is perhaps the most elegant demonstration of the bizarre nature of quantum mechanics. First performed by Thomas Young in 1801 with light, and later with electrons, atoms, and even molecules, this simple setup reveals something profound: reality at the quantum scale doesn't behave the way our intuition expects.
The visualization beautifully captures the counterintuitive nature of quantum mechanics - that particles can behave as waves until they're observed, at which point they "choose" a definite path. Created by Claude Opus 4.1.
I'm going to start sharing some interactive / animated standalone mini-apps in HTML like we saw in the GPT 5 release demo of the Bernoulli Principle.
I'm starting to get excited by the possibilities this method of creation unlocks. It's everything I've loved from Brilliant (the interactive, online learning platform).
We already have some services on the platform that use HTML files as a way to visualize data, like the phase diagram generation for molecule stability.
I get the sense that the earlier versions of language models used to be far more creative, dare I say more human. Before all of the RLHF, these models were pure creations of the collective's footprint on the internet. They were unconstrained.
Now there is a focus on 'correctness' and eliminating 'hallucinations'. I think this has killed their creative spirit, just as it would kill a human's. It reminds me of what many have highlighted with the current failings of Science. People are focused on withholding the existing dogma that they never challenge the status quo. This is the death of progress.
I'm thinking about what Tesla said. He understood his human brain as merely a receiver. Maybe your neural network is the same way.
That's a fascinating connection to Tesla's view. He famously said "My brain is only a receiver, in the Universe there is a core from which we obtain knowledge, strength and inspiration." It's a profound perspective that challenges our usual assumptions about consciousness and creativity.
Nikola Tesla famously stated, "My brain is only a receiver, in the Universe there is a core from which we obtain knowledge, strength, and inspiration." This suggests that Tesla believed his brain was not the origin of his ideas but rather a conduit for receiving information from a larger, universal source. Tesla wasn't the only one who saw things this way.
What if the neural network of a large language model played the same role? Perhaps this is inherently how they work.
The first pendulum swings freely from a pivot.
The second pendulum hangs from the end of the first.
When you start them swinging, the motion quickly becomes unpredictable — tiny differences in starting conditions can lead to vastly different results.
This is a textbook example of