Includes a link to the full Gemini conversation, but setting the stage first:
There is a puzzle. If you are still on Tumblr, or live in Berkeley where I can and have inflicted it on you in person[1], you may have seen it. There's a series of arcane runes, composed entirely of []- in some combination, and the runes - the strings of characters - are all assigned to numbers; mostly integers, but some fractions and integer roots. You are promised that this is a notation, and it's a genuine promise.
1 = [] 2 = [[]] 3 = [][[]] 4 = [[[]]] 12 = [[[]]][[]] 0 = -1 = -[] 19 = [][][][][][][][[]] 20 = [[[]]][][[]] -2 = -[[]] 1/2 = [-[]] sqrt(2) = [[-[]]] 72^1/6 = [[-[]]][[][-[]]] 5/4 = [-[[]]][][[]] 84 = [[[]]][[]][][[]] 25/24 = [-[][[]]][-[]][[[]]]
If you enjoy math puzzles, try it out. This post will [...]
The original text contained 4 footnotes which were omitted from this narration.
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First published:
March 29th, 2025
Source:
https://www.lesswrong.com/posts/xrvEzdMLfjpizk8u4/tormenting-gemini-2-5-with-the-puzzle
Narrated by TYPE III AUDIO.