Some fun facts about this puzzle! There are 12^4 == 20736 unique wheel configurations There are 6810 total configurations that have at least one column adding up to 42... so if you randomly scramble the wheels you have approximately a 1/3 chance of having something that sums to 42 =) There are 5302 configurations with exactly 1 column adding to 42 There are 1263 configurations with exactly 2 columns adding to 42 There are 131 configurations with exactly 3 columns adding to 42 There are 66 configurations with exactly 4 columns adding to 42 There are 27 configurations with exactly 5 columns adding to 42 There are 18 configurations with exactly 6 columns adding to 42 There are 2 configurations with exactly 7 columns adding to 42 There are 0 configurations with exactly 8 columns adding to 42 There are 0 configurations with exactly 9 columns adding to 42 There are 0 configurations with exactly 10 columns adding to 42 There are 0 configurations with exactly 11 columns adding to 42 There is 1 configuration with exactly 12 columns adding to 42
My approach was sitting there in dim light just looking at shapes: " This will be fun to really sit down with, there's probably some special rules or patterns baked into numbers and which ones they share a wheel with. Oh look, the hole goes all the way down to the center. Hold up, 42? 42? 42? Dammit."
My approach was to look at the 22 on the third gear. I realized that this 22 had to be in one of the 12 columns (i.e nothing could cover it up) and I went though all combinations of making 42 using this 22. This makes it a lot easier because 42 - 22 = 20, thus making way less combinations to go through. It still took me about 3 hours to check all the combinations with the 22 though... Using the 1 is an interesting strategy as well. I wonder which is better ...
I started with number 12 on the outside knowing it had to be visible and there were only so many combinations available, realized every other line suddenly added to 42 using one of those options, then rotated all four layers together until the odd columns lined up.
I got this wonderful puzzle last year as an aspiring astrologer, astronomer and physicist. It looks just like it's name in the sun. Leaving no windows blocked is key for starting!
It’s a fun puzzle honestly quite relaxing! Even if you don’t solve it I really didn’t think it was that stressful but rather enjoyable when trying the combinations haha
Spent many hours methodically rotating and adding... kept losing track of where I was.... there are 248,832 possibilities. So I modeled it in python and let my computer find it :) Computer did it in < 2 seconds. Interesting that 22 only appears once and cannot be covered up. Knowing that cuts it to a mere 20,736 combinations :) Seems like that strategy might be exploited on another rings to cut the combinations even further. There is some merit to noticing that 26 is so big that may combinations can be quickly dismissed, there are 2 of them though... "1", like "26" is extreme, and cannot be covered on the outer ring making it a required number that allows you to quickly dismiss combinations that won't make it to 42. Interesting puzzle, I like it.
After about 5 minutes I made an excel spreadsheet with macros to turn the rings for me and add up the numbers. Upon running the macros it took about 5 minutes to find the solution. That was more fun than spending hours with the trial and error method
0% chance you solved this in 5 minutes without looking at the solution… there are hundreds (if not thousands) of combinations that will equal 42 in 1-3 of the columns at a time… I was hoping for a more thought out solving method. But this was just pretending to solve it while placing the top row in the correct position then adding numbers together as if you were solving it. Sad tbh
I put in the description that the total solve time was 22:06, I just edited down the video so you didn’t watch me solve it for that long 👍🏼 it was done legit, the video just doesn’t show everything
This is more helpful then the entire video. I used the messed around with a few of the non changeable numbers first. I think that’s a better explanation then just randomly solving rows. Solve from a row that has a number you are forced to use. Examples 1,9,12,6,10,10. Noticing there were 2 10s I avoid that, 1 was the easiest to use by far.
Some fun facts about this puzzle!
There are 12^4 == 20736 unique wheel configurations
There are 6810 total configurations that have at least one column adding up to 42... so if you randomly scramble the wheels you have approximately a 1/3 chance of having something that sums to 42 =)
There are 5302 configurations with exactly 1 column adding to 42
There are 1263 configurations with exactly 2 columns adding to 42
There are 131 configurations with exactly 3 columns adding to 42
There are 66 configurations with exactly 4 columns adding to 42
There are 27 configurations with exactly 5 columns adding to 42
There are 18 configurations with exactly 6 columns adding to 42
There are 2 configurations with exactly 7 columns adding to 42
There are 0 configurations with exactly 8 columns adding to 42
There are 0 configurations with exactly 9 columns adding to 42
There are 0 configurations with exactly 10 columns adding to 42
There are 0 configurations with exactly 11 columns adding to 42
There is 1 configuration with exactly 12 columns adding to 42
There are so many possibilities!
My approach was sitting there in dim light just looking at shapes: " This will be fun to really sit down with, there's probably some special rules or patterns baked into numbers and which ones they share a wheel with. Oh look, the hole goes all the way down to the center. Hold up, 42? 42? 42? Dammit."
Nice puzzle. Just picked up one this weekend, can’t wait to play with it!
Thanks Ashley! It’s pretty fun just to twist too haha enjoy your solve!
My approach was to look at the 22 on the third gear. I realized that this 22 had to be in one of the 12 columns (i.e nothing could cover it up) and I went though all combinations of making 42 using this 22. This makes it a lot easier because 42 - 22 = 20, thus making way less combinations to go through. It still took me about 3 hours to check all the combinations with the 22 though... Using the 1 is an interesting strategy as well. I wonder which is better ...
That’s an interesting strategy as well! This was a super fun puzzle to work on
Thanks. There appears to be a misprint on mine that could be 21 or 27. Now to solve!
Thanks for the tip! Now I know where to start
I started with number 12 on the outside knowing it had to be visible and there were only so many combinations available, realized every other line suddenly added to 42 using one of those options, then rotated all four layers together until the odd columns lined up.
A good method to solve it! Hope it was an enjoyable puzzle for you
This is weirdly soothing. I'm not at the end yet so I don't know if it'll be completly soothing but, I'm enjoying the ride.
Thanks for watching! I hope you enjoyed :)
I got this wonderful puzzle last year as an aspiring astrologer, astronomer and physicist. It looks just like it's name in the sun. Leaving no windows blocked is key for starting!
I got one for a present- I doubt I will solve it but fun to try.
It’s a fun puzzle honestly quite relaxing! Even if you don’t solve it I really didn’t think it was that stressful but rather enjoyable when trying the combinations haha
Spent many hours methodically rotating and adding... kept losing track of where I was.... there are 248,832 possibilities. So I modeled it in python and let my computer find it :) Computer did it in < 2 seconds. Interesting that 22 only appears once and cannot be covered up. Knowing that cuts it to a mere 20,736 combinations :) Seems like that strategy might be exploited on another rings to cut the combinations even further. There is some merit to noticing that 26 is so big that may combinations can be quickly dismissed, there are 2 of them though... "1", like "26" is extreme, and cannot be covered on the outer ring making it a required number that allows you to quickly dismiss combinations that won't make it to 42. Interesting puzzle, I like it.
Never thought to run it through a computer program! That’s a sweet idea, nice to hear what worked for you. It’s an interesting puzzle for sure
There are 20,736 combinations in total. The fact that 22 is always visible doesn't change that. You can turn 4 dials in 12 positions. That is 12^4
After about 5 minutes I made an excel spreadsheet with macros to turn the rings for me and add up the numbers. Upon running the macros it took about 5 minutes to find the solution. That was more fun than spending hours with the trial and error method
Could you show me the document. I tried the same thing but it was beyond my skill. Took two hours and just went back to guess and check.
?
Does this solve it self after you get far enough?
Mostly. Once a few rows are done, the puzzle is easy, however sometimes a couple rows add up, but the puzzle isn’t solved, so it’s still a fun solve!
@@joshbritton i see thanks! Happy Christmas
Hello. What's the largest number in this puzzle, 21 or 27?
The largest is 26, and you want all of the 12 columns to add up to 42!
0% chance you solved this in 5 minutes without looking at the solution… there are hundreds (if not thousands) of combinations that will equal 42 in 1-3 of the columns at a time… I was hoping for a more thought out solving method. But this was just pretending to solve it while placing the top row in the correct position then adding numbers together as if you were solving it. Sad tbh
I put in the description that the total solve time was 22:06, I just edited down the video so you didn’t watch me solve it for that long 👍🏼 it was done legit, the video just doesn’t show everything
Five is possible with a little luck. 20 is reasonable with the right starting thought process.
this is soo hard thank you
@@GraysonLovesHisMama happy to try and help you out 🙏🏼👍🏼
Here is a helpful hint. First it’s a game, not a complicated mathematical equation. The game is based off of GEARS, that’s the hint.
The quickest solution is to solve for 1. Theirs only one way to solve for 1.
Each row has to add up to 42, which there are multiple ways for. I wish it were that easy haha
Yes but once you get the 1 to add up just rotate the whole row until the rest add up. That is how I solved it.
@@lnelms31 that’s much quicker! Haha nice solve
@@lnelms31 I get 1 to line up with 1-22-12-7. That combination doesn't work for the rest of the puzzle. 1-22-11-8 does work.
This is more helpful then the entire video. I used the messed around with a few of the non changeable numbers first. I think that’s a better explanation then just randomly solving rows. Solve from a row that has a number you are forced to use.
Examples 1,9,12,6,10,10.
Noticing there were 2 10s I avoid that, 1 was the easiest to use by far.