I now understand why Tyler was complaining about the fact he had to figure out how to push the boxes correctly his brain works on pure logic puzzles like a machine

Tylor has such massive brain, other youtubers lags behind the viewer, but here, the viewer lags behind him.

Absolutely crazy how Tyler’s massive brain can figure these things out so easily.

I hope they eventually sell this on an actual calculator. Would be sick.

As a Math Undergraduate Student, it's astounding how fast you get these

This game is such an interesting way to turn literally doing math into play. I really want to find a way to integrate these puzzles into my math classes because I think they perfectly promote mathematical and critical thinking

Me when heavenly calculator comes out: ✝️

How is this cursed? This is exactly how my calculator works in every math test.

As someone who loves math, this series is incredible

He really solved the 7 puzzles that took me and my friends a combined 2 hours in 10 minutes. (Maybe a little more depending on how much of the footage was cut)

In this episode, Aliensrock confirms he has seen addition before, and some other maths happens too ig (Loving this series, what a great idea for a game!)

In the last puzzle, (using ¥ as fork) For X¥Y, you were getting (Y*12)+(X-Y) I was getting (Y*10)+(X+Y) They both simplify down to (11*Y)+X but it’s funny how brains see different patterns in the things.

Didn't expect to be reminded how combinations work going into this video, but here we are

12:09 There's a few reasons why, but the one that bugs me the least is defining the factorial function by the gamma function -1, which let's you factorial decimals and negatives and whatnot through the power of *integration* which defines 0! as 1.

someone tell me why i thoroughly enjoy this despite hating doing math

thanks for the clarification on the claim at the start of the video

Just finished studying for my Calc 3 exam tomorrow and was hoping to unwind from so much complex math. I guess it’s time to dive even deeper instead lol

Man, I thought I was good at math but you are out here killing it. Like, why do you know so much? Can't wait to see more from this game. Keep up the great content

love this series but I am completely lost lol

My dream is for Tyler to one day partner with a game developer to make the best puzzle game the world has ever seen! He probably played enough of them to have a case study writen about him

I think I could have gotten most of these with some time, but the combinations one was pretty crazy. Tyler’s pretty insane for recognizing that with no help.

I'm learning more from this game an Tyler than I've learned from school in the past 5 years.

I love logic and math, but I'm only just slightly above average in terms of actually using it for anything outside rudimentary tasks, so watching you do these gives me a lot of joy (and a bit of envy :P ). Keep it up!

holy crud. that last puzzle and the constant base calculations on the fly are insane. I can't believe the dev patched out some solutions too LUL

you could probably use M1, M2, and M3 to save values you need edit: nvm it tells you

tyler has an iq of 666 with how he does the logic on these puzzles my lord

Here’s an explanation for 0! = 1. Factorial is not just n•(n-1)•…•3•2•1. It’s designed specifically for combinatorics so n! is the number of ways to organize a set with n elements. Easy example is the number of ways to rank 1st, 2nd, and 3rd in a competition with 3 competitors. There are 3 choices for 1st, now from the remaining players there are 2 choices for 2nd, then 1 choice for 3rd which gives 3•2•1 or 3! ways of organizing them, but what if your set is the empty set i.e. has no elements well there’s only 1 way to organize the rankings in that case so 0! = 1.

14:28 love how everybody went for factorial or level 40 - a perfect square is your normal integer^2 but typically ppl look for ‘not divisible by a perfect square greater than 1’ because 1 is in fact a perfect square (as is 0)

super glad that you're continuing this game despite that my math skills are actually terrible

12:08 If I have 3 items, and I want to put them in different orders, there are 3! ways to arrange the numbers. If I have 0 items, then there is *1* way to arrange the 0 items. Thus, 0! = 1.

Loving this series and I can't help but notice the black space between the fork and equals. Third symbol in the future?

I have absolutely no idea how you get these in the slightest but its entertaining nonetheless. Love watching you work.

For the last puzzle, fork is also the 2nd number times 10 plus the 2 numbers added together.

Hey, I know you usually don't do horror games, but It Steals is pretty good. It's a very short game with only 5 levels, and each level consists of collecting enough orbs while avoiding death. Each level has a unique enemy, and you have to figure out how the enemy works to beat the level. It would probably fit into two episodes, or one long one, as the game is quite short.

There's something surprisingly entertaining about watching Tyler do math.

I'm loving these. I'm just a bit slower than Tyler at figuring out the functions, but sometimes I get there first.

I know very little about math because my brain was just too slow to really pick up on anything and slow on figuring stuff out but watching this game is surprisingly enjoyable

Me figuring out level 40 before tyler: im a genius! Me on any other level: yeah he'll figure it out I give up

I’m not surprised since it’s aliens rock, but I’m still surprised how entertaining a guy doing math problems can be

Tyler: [can remember numbers but not other things] us: [can't remember numbers to save our life cuz we have dyscalculia, but loving this video anyways]

Imagine not being cursed

0! = 1 because of the rules of factorial, where n! = n*(n-1)!, meaning n!/n = (n-1)!. Plugging in 1 for n we get 1!/1 = 0!, and 1!/1 is trivially 1.

I have a good explanation for why 0!=1 that I taught to a maths teacher. When doing factorials, you're often taught that 1!=1, 2!=2, 3!=6, 4!=24, etc. However, if you work backwards, then 4!=5!/5=120/5=24, 3!=4!/4=24/4=6, 2!=3!/3=6/3=2, 1!=2!/2=2/2=1, then finally you get 0!=1!/1=1/1=1.

You talent for pattern recognition is amazing. It's probably why you're such a good bloons player.

I am learning math stuff above my level from this. Thank you tyler.

This is one of those games that I would never dare touch, but it's very fun to see someone play it who gets it lol

My brain started melting after 10 minutes of watching this help

i love how people told him that theres another calculator puzzle game and now he’s corrected to “the only calculator puzzle game on STEAM” also, this game looks really neat ive been having fun watching these videos even if i have no clue how he figures these out so fast

All this game has taght me is how much math Tyler knows

His pattern recognition is on another level

I wanna point out, a simple way to think about the last puzzle is the second number x 10 + the the numbers added together. 9 Y (fork) 9 is 108, because it’s 90+18. His way of thinking IS correct, but just keep that in mind. It’s also why 2 Y 1 is 13, and 1 Y 2 is 23. Same inputs, different order, so different output.

What the hell why is this so fun to watch

12:05 n! is the number of bijective functions f:S->S where |S| = n (number of permutations). So, 0! should count the number of bijective functions f:S->S where S is the empty set. There is precisely one such function, empty function, and it is automatically bijective being the inverse of itself. Therefore, 0! = 1.

man this is way to big brain for me

Good gravy, this man is a genius.

DEMONIC CALCULATOR.

Sending love to the editor ! I hope they're not disgusted by maths... ❤️❤️

Oh, I get it now. Those "Calculator the game" games aren't on steam. Thanks, Tyler.

who knew a game with just a calculator would be so interesting.

It'd be nice to have Tyler's brain power when I was still in school lol. Those big brain moves are why I'm a subscriber.

This so amazing how fast your getting these when I'd take hours longer

The numer twelve has returned to haunt Tyler once again.

Love this series

God, Tyler has a TI-nspire CX II in that noggin of his. Logic to the core.

Multiplying by 12 and then subtracting 1 unit away is also known as MULTIPLYING BY 11!!

Nice pillars of creation in the background.

How are you so good at math?!?! Wtf?!?! Maybe that’s my dyscalculia talking but good lord XD

Tyler returning to his math roots

the only youtuber I watch who loves math just as much as me. pretty gigachad moment

0 factorial is 1 because there is 1 way to arrange 0 objects also, if it wasn't math would break

I love math, i love watching tyler and i now love this game

For anybody wondering there was 1 whole positive solution to level 33. It was 70ψ78 The other solutions which involve negative numbers are -220ψ-224, -220ψ223, 0ψ-37, and 70ψ -79

I saw your video previously, tried it, and now I'm at level 63. It was holy freaking fun! You should also try the DLC too. I really want to see you try them 😈

I misread calculator as calendar and now I want to see a calendar puzzle game, though idk if there is one or how one would function.

6:08 I've found a more neater and interesting answer. Using Y for fork, you can do 1 Y 11 Y 11 Y 11, which is literally all 1's. This means you could make all the other digits burning, and it would still be possible, though that would leave less room for experimentation. I wonder if there are other levels where you only need one type of digit to solve it.

🅱️ursed 🅱️alculator

0!=1 is just a convention that makes sense. Like for all defined factorial values (n+1)! = n! * (n+1) and when you plug in n=0 you get 1!=0!*1 => 0!=1

I love watching your videos, the way your brain works is beyond me, bust god damn I love watching it.

So about 0! The explanation is this The formula for factorial is n!=n*(n-1)! Thus 1!=1*(1-1)! So 1!=1*0! And 0! Must be 1, there is a great video about factorial and negative factorial

Anouther calculator video :D

21:40 - I saw it as 2nd on the decimals + the sum pretty fast actually

Factorial is how many ways you can arrange a set of n items. One item, one way. Two items, two ways. Three items, six ways. Zero items, one way - nothing.

"My brain is tingling."

4:17 fermat’s last theorem

21:27 I did not notice that pattern and thought you were wrong cuz I was noticing it's different pattern If its X fork Y First digit is Y, second digit is X+Y Also can be explained as 10Y + (X+Y) Which I'm pretty sure also works first digit is 100 making it 1000, second digit is 100(100+0) and add them which gives 1100

0!=1 for the same reason 0^0=1, they are the products of no numbers at all. If the default value here were something other than 1, then including new numbers in the product would not always be as simple as multiplying the new numbers by what you already have. If the product of the numbers in the set {4,5} is 5 times the product of the numbers in the set {4}, then the product of the set {4} should be 4 times the product of the set {}. Declaring that there is some other default value would make any explanation of multiplication more complicated, with a footnote that must be applied to a definition that was already sound without it. 1 used to be considered a prime number, the only reason that changed is because mathematicians were tired of writing out "primes except for 1" almost every time they did anything with primes. Then they realized that if they let their attachment to one idea trump practicality, they're the only ones who pay for it. So the "except for 1" footnote was baked into the definition of primes and a lot of breath and ink have been saved since. You could define factorials as the gamma function shifted over by 1, with a random discontinuity at x=0 to make 0!=0 while the limit as x->0 is still clearly 1, but I think the kind of work people do with the function seems to beg us _not_ to do that, just like the majority of the work we do with primes begs us not to consider 1 a prime. As the zen of Python says, *special cases aren't special enough to break the rules.*

Would you ever play PVZ2? It might be a deviation from the usual games you play, but I think it would be very entertaining to watch you play it. Especially into the later levels of the game. I know that it takes a long time to get to the good stuff, but I guess it’s just something id like to see from you

I like your Numbers, Magic man

This makes me feel smarter even though I have no idea what's happening. It sucks too that I don't understand because I use basic algebraic equations on a daily basis for my job

12:08 I think the reason that 0! = 1 is actually really very reasonable: n! = n((n-1)!), so 1! = 1(0!) = 1, and therefore 0! = 1

I like to imagine that Tyler is just looking the awnsers and descriptions and then just does a few fake equations cuz if that’s natural he might be able to rival Einstein,newton and the guy that invented sliced bread, genius-ness…combined.

Thank you Ben

Ok I'm coming up with a non algebraic solution for puzzle 40. Specifically, take the two numbers and add them together, and then take the second number and put it in front, but you overlap the app but the first digit of the second number with all but the last digit of the sum. So 2¥4 is (second number: 4)(added together 2+4=6) is 46, 11¥10 is (second number: 10)(added together 11+10=21) and then add the 0 in 10 to the 2 in 21 to get 121.

It scares me how fucking good Tyler is at this

Calculator 2: The game!

21:29 I tested the following here, which also seems true: Second number times 10, then add sum of both numbers.

Whoo, calculator puzzle game!

I never really got into math, but if this was how I learned it, I'd be a math genius... Or I'd be drooling while staring out the window. 🤣

14:17 yeah, of course 173 not divisible by no perfect square other than 1! It's prime!

I may not understand half this math because it wasn't taught in my country.. but I'm still having a wonderful time despite that. and also despite the dyscalculia bc non-algebraic stuff is the best (and also semi-complex algebra is wonderful even tho my high school classmates may disagree, wherever they are now-)