Shiny new sound!
Source: SoundCloud / Ogotu
i have stumbled upon the hardest two riddles in the world. it was a man i met that gave them to me; he resembled a generic nobleman from the mid 19th century. he told me that he was part of a club of riddle creators and solvers, as well as professional code-breakers. he also added:
"it doesn’t matter who invented these riddles, but the important thing you must tell yourself is that they are possible to solve. do not search for another person’s solution of it, for it does not exist. the first riddle i will present you with is this one.”
he slid a small message card on the table towards me so that i could see what was written on it. all i managed to see was a series of dots and lines that strongly resembled morse code:
"in this riddle there is a phrase integrated in morse code. but that isn’t the full solution to it, as it is merely a small part of the riddle."
the strange part about this code was the small upper dot at the end of the dots and lines, and also the fact that the whole line doesn’t contain any spaces or slashes, making it extremely difficult to understand what the phrase is.
"the full solution is much harder to find, and that is what the upper dot at the end of the line will help you understand."
I just had an idea for a conjecture. I’m no mathematician so I cannot (and do not know how to) prove if this is true in every single case, but within the many examples I’ve tried it has proved to work perfectly. I do not know if this has already been discovered but it’s pretty cool and fun nonetheless. I do not know what possible uses there can be for this.
The conjecture states that any number n squared is equal to (n + 1) multiplied by (n - 1), added to 1.
n² = (n+1) x (n-1) + 1
This works, as far as I’m concerned, with any integer for n:
5² = (5+1) x (5-1) + 1 | 25 = 6 x 4 + 1 | 25 = 24 + 1
28² = (28+1) x (28-1) + 1 | 784 = 29 x 27 + 1 | 784 = 783 + 1
0² = (0+1) x (0-1) + 1 | 0 = 1 x -1 + 1 | 0 = -1 + 1
It turns out this also works for all the real numbers I’ve tried out:
7.5² = 8.5 x 6.5 + 1 | 56.25 = 55.25 + 1
1.4² = 2.4 x 0.4 + 1 | 1.96 = 0.96 + 1
3.14² = 4.14 x 2.14 + 1 | 9.8596 = 8.8596 + 1
Like I said, I’ve yet to actually prove if this is either always true or if there are some cases where it isn’t. I’m never was really good at maths but if someone could help me solve this, it would help. I’m sure it can be pretty simple to prove. Or maybe not. I’m not sure.
Anyone have thoughts on this?
If Ghen wrote twice more ages, 233rd would be another random one of his worlds..
I’d like to discover more of those worlds, even if they’re unstable or not. Hmm