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Comment · 1 month ago
Comment · 1 month ago
Really cool project! On a personal note, thanks for the reference! I'm one of the authors of the 2013 paper you cited, and it's awesome seeing how many new solutions have been found since then.

I have a quick question: how are you currently checking if a new candidate is genuinely novel rather than a rotated, time-shifted, or rescaled duplicate of an existing solution?

If you are not already computing it, topological classification (mapping orbits to free group words) would be a great way to quickly prune duplicates before heavy numerical checks, and it's also really useful metadata to display in the atlas itself. Also, showing shape sphere projections of the orbits would be a nice visual addition.

Comment · 3 months ago
Comment · 6 months ago
It’s striking how ending of the story mirrors Roger Penrose’s conformal cyclic cosmology, where the heat death of one universe mathematically resets through conformal scaling to become the big bang of the next.
Comment · 7 months ago
Comment · 8 months ago
Comment · 1 year ago
Why the b > 2 condition? In the b=2 case, all three formulas also work perfectly, providing a ratio of 1. And this is interesting case where the error term is integer and the only case where that error term (1) is dominant (b-2=0), while the b-2 part dominates for larger bases.
Comment · 1 year ago
To put it this way: after seeing examples of how a LLM with similar capabilities to state-of-the-art ones can be built with 20 times less money, we now have proof that the same can be done with 20 times more money as well!
Comment · 1 year ago
Thanks. It seems that some UTF-8 characters are not accepted as part of the comment. Anyone who wants to see the rabbit should check the page source :)
Comment · 1 year ago

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Comment · 1 year ago
Not sure. I am using models/API keys from https://aistudio.google.com. They just added new models, e.g., gemini-2.0-pro-exp-02-05. Exp models are free of charge with some daily quota depending on model.

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