NATHAN is a palindrome in spirit (Read description for clarification)
So, many of you pointed out that in the first two minutes, I claim that "this video only involves the spelling of words, and has nothing to do with the phonetics of a word.", and then contradict that by saying "Let's analyze how NATHAN is pronounced."
In retrospect, I can see how that is very confusing.
I should've worded this in a more mathematically rigorous way. What I meant was, we're just looking at a sequence of discrete elements, some of which have the same value, and some of which have different values. What I wanted to do in this video was, figure out what permutations of that original sequence can we arrive at by only applying reversals to substrings of that sequence. For sequences that have a structure like "NATHAN", (where the 1st and 6th elements have an equal value, and so do the 2nd and 5th elements), which reversals will lead the sequence to appear identical? The answer is, reversing the substring from x_1 to x_6, and then reversing the substring from x_3 to x_4, will keep this sequence identical. In the video, the only reason I brought up how the "TH" phoneme is pronounced was to slowly introduce you to a reason for why you might want to reverse a smaller substring. But actually, the pronunciation is actually irrelevant: we can choose any substring to reverse that we want. You can see this later when I start "clumping" more arbitrary chunks of letters, like the "TAL" in stalepetals.
(Whenever I say "substring", I mean a consecutive subsequence of the original sequence.)
If we were to boil the actual problem down to its mathematical roots, the English language itself is actually completely unrelated to the raw mechanics of the problem I'm trying to describe. I only used English words as a sort of "proxy" to make the puzzle more digestible and "fun", (like the Oompa Loompa Shampoo thing), but that clearly backfired. If I were to record this video again, I now know to take a more straightforward approach: describe the problem in a mathematically unambiguous way, so the viewers aren't left with a different version of the problem in their head than the problem I had in my head. Clarity over hand-wavy statements. I'll try to be clearer next time!
For a more in-depth explanation of what I mean, go here: • Addressing confusion about the “NATHA...
It's here! https://htwins.net/palindrome/
Buy my Firey plush if you want: https://shop.jacknjellify.com/product...
I tried to make the tool ASAP just so I could experiment, so I wouldn't be surprised if it glitches or crashes when you give strange text as input! Also... it's entirely in JavaScript canvas. 🙁
ALSO I JUST REALIZED that due to my OBS settings, I recorded parts of this in 480p. That's really dumb, oops
All the music is either various songs by DemiPixel or "Chapter Complete" by YoyleCake Michael
/ demipixel
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