@pickover

Increase your sense of wonder. (Author of 50 books & 800 patents. Yale Ph.D.) "Pickover contemplates realms beyond our known reality." ~NY Times

 New York
pickover.com
Joined September 2008
  • Tweets83.7K
  • Following50
  • Followers234K
66.1KMedia
Ask me anything. I will be happy to answer some of your questions, and will try to reply to a portion of your questions below in the coming days.
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An article of possible interest: "I am mathematics PhD student. ... I have made the decision to leave academia ... I am becoming increasingly convinced that this profession is morphing into something unrecognizable, something alien.... Source: proofsandprompts.com/2026/10…
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New Math Discovery: "einstein" tile in four dimensions. Tessellates space but only in a nonperiodic way. Lean proof.
Conor
@jconorgrogan23h
This weekend I found an “Einstein” tile in 4 dimensions. It’s an aperiodic monotile: a single shape that can fill 4D space, but never in a repeating pattern. As far as I know, it’s the first one in 4D proven with a machine checker (Lean) Here’s what it looks like! (check 0:24)
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Math. The Secret Journey of the Kings.
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Math. Isn't this an interesting and delightful tiling by teacher Hana Murray (@MurrayH83)? (Center magnified at right.) Used. with permission.
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Mathematics. Fractal Dance. By MisteryMyra, misterymyra.tumblr.com
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Math. Shiver in ecstasy. Don't you just love the number 150,209? It's the largest known value of n for which..... tinyurl.com/3d4rfrka
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Physics, mathematics, the universe. You've heard of velocity and acceleration, but have you heard of.... bit.ly/3IURcb0
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Mathematics. Have you ever wondered how many solutions this has for x?
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The Eye of God. New Venn diagram discovered by a human working with two AI models that communicated with each other! Image adapted from: Chris Dzoba, "Simple symmetric Venn diagrams with 17, 19 and 23 curves," 2026, arxiv.org/abs/2609.26546, cc by 4.0 [math]
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Will published math papers ever contain these words in the Acknowledgements? "The author does not have the expertise to verify or understand many of the mathematical details."
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Mathematics, interference patterns. Waves, simulation, the ripples of our lives. By Koma Tebe, @KomaTebe, Used with permission.
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Math. The beautiful mystery of Prime Fibonacci numbers....
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Math. This tiling is pleasing to look at. What interesting observations can you make about this tiling? Source: tinyurl.com/yck6zvj3
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A three-way battle between one AI, another AI, and Magnus Carlsen. Magnus’s best strategy? Do nothing. The two AIs will conclude each other as the only real threats, spend time obliterating each other, and leave Magnus to sweep up the leftovers. Source: tinyurl.com/3a8jxchd
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Shiver in delight. 24 factorial.
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Ramanujan’s problem. Imagine asking your friends to find positive integer solutions to this equation. It turns out that humanity will only find Ramanujan’s original solutions (N = 3, 4, 5, 7, 15), and we'll never find any more solutions.
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Mathematics. Welcome to a new universe. Three-player chess. Source: tinyurl.com/3a8jxchd
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A Gift from the Alien AI Gods. New Venn diagram discovered by a human working with two AI models that communicated with each other! Image adapted from: Chris Dzoba, Simple symmetric Venn diagrams with 17, 19 and 23 curves, 2026, arxiv.org/abs/2609.26546, cc by 4.0
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Mathematics, infinity, fractals. Yin-Yang for extraterrestrials. By Toby Howard, @tobyhoward, bit.ly/3Jw6G5U, Used with permission.
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In 1770, Joseph-Louis Lagrange showed that every positive integer can be written as the sum of four squares. For example, we can write the number 31 as 2² + 3² + 3² + 3².
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