Hey about that game that you invented, I have found another example in which you rotate 4 bit nibbles, like your example 0x2008 = 8200 and the one I found is 0x0000 = 0000, that was super hard to find but I'm really really clever (sarcasm) and I did it! \o/
@Amit Thanks! Ignore the one and two digit numbers, I know they aren't what your game is about (it is about whole 4-bit chunks, and I didn't pad them with zeros)
yeah ofc, the trivial solutions, or degenerate. it's good they're there, it gives me a chance to use the words "degenerate solutions", that makes me feel smart
😂😂
although 0x0035 isn't really trivial, it's rather nice
but did you rotate only by 1 byte or did you do the full 3 rotations on each one?
I mean for example when you get to 0xABCD did you check 0xDABC, 0xCDAB, 0xBCDA
The first 10 single digit ones aren't too interesting, but 0x35 = 53 surprised me exactly because it's the only one with 2 digits, it is therefore the only non-trivial one that I could have found by hand
Disclaimer: I know it is not 100% according to the rules you described, like 0x35 = 53 would not be a correct find in your rules because 0x0035 is not equal to 5003. But I'm just toying around as for now :)
Yes I also wonder whether they go on forever but are extremely rare, or do they stop?
@EE18 Hello and welcome to the chat! :)
I also have a strong suspicion we are not the first in the history who are examining these particular patterns. But I don't even what should I google to find if there were earlier pioneers :)
although there is a chance of missing some stuff that way, i mean, to really cover all the bases one should probably check with 1 more padded zeros for the decimal 'cause I think like, you have 0x9329 = 37673 ... now it's not impossible that a rotation.. 0x09329 is somewhere in that range...
@user430580 i'm not sure, it's a weird enough idea that maybe no one cared about it
the whole thing started when i was working on something and i noticed 0x2008 = 8200
@user430580 thanks :P far from spaghetti, that's how sandbox code always looks like :P
This kind of interest in seeing silly patterns is what prompted me to write this Math.SE question a while back, also a cute little thing. About that one, I'm quite more sure someone else noticed it before