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I think I'm beginning to understand a bit. I noticed something interesting about the 12 number, see attached image. Linear 12 is a beginning and end. The circle 12 is a bit amusing, a continuous 12 number. Clockwise manner as depicted on the image, but if arrow go in counter-clockwise manner.. same 12 result hence continuous 12 number. Heh, a bit interesting to point out.

🙄 https://www.yahoo.com/news/wind-blowing-uranus-makes-hard-161117198.html

If I'm not mistaken, there is an error in the last part:

You can call it either one, just like a helium nucleus is also known as an alpha particle The shell naming is an artifact of science history. The emitted light was discovered before the electron shell model was developed. “The names of the electron shells come from a fellow named Charles G. Barkla, a spectroscopist who studied the X-rays that are emitted by atoms when they are hit with high energy electrons. He noticed that atoms appeared to emit two types of X-rays. The two types of X-rays differed in energy and Barkla originally called the higher energy X-ray type A and the lower energy X-ray type B. He later renamed these two types K and L since he realized that the highest energy X-rays produced in his experiments might not be the highest energy X-ray possible. He wanted to make certain that there was room to add more discoveries without ending up with an alphabetical list of X-rays whose energies were mixed up” https://education.jlab.org/qa/historyele_02.html

Nice to see a politician determined to keep his campaign promises. Not sure of the details, as no one, including him no doubt, knows what they are...but he did promise stupid

https://theonion.com/heres-why-i-decided-to-buy-infowars/ The best part of the joke is that The Onion really did buy InfoWars (but for slightly different reasons than the "CEO" states above). https://www.theguardian.com/media/2024/nov/14/onion-info-wars-alex-jones Going to be smiling all day over that one.

I stopped at a friend's office one Xmas with a block of Vermont cheddar as a gift. Security guy stopped me at the entrance. He said, sorry, but you can't bring anything sharp into the building.

Yes. It is easy to show that such a polynomial does not exist for not integer n. So, yes, the question can be clarified: n and all coefficients of the polynomial being integers. It is not needed for this puzzle. Here is almost complete proof:

What is meant by treating density as encoded information? Density is just one number. Unless, I suppose, you superimpose knowledge of limits to the range of densities possible for given combinations of elements. Is what you have done something like that?