This guy is talking about trigenometry and Pythagoras theorem meanwhile I am trying to understand how cutting sandwich different ways can lead to more sandwich.
Exactly. surface area of a square: width * height. Surface area of a triangle: 1/2 * w * h. you have 2 triangles, so equals the same as the square. even if you subtract the width of the crust it should still be the same.
unfortunatly this video wasn't made well. what they meant was the "surface area" of the cut edge of bread. so looking at the layers of bread and filling instead of the top piece of bread. from the top, which is how they described it, it would have been easier to say it was the perimeter.
2 things i take issue with: 1) you missed Bobby's reason for preferring the bias cut: presentation 2) you never put this to a practical test. I imagine doing that cut would make for some weird mess in the middle. I've been a diagonal bias cutter for quite a while, but you have got me wanting to experiment...
@@llamawalrushybrid A theory is kind of an untested hypotesis. For example, the theory of evolution was never tested. But, using a bunch of observations Darwin made the theory of evolution and it is widely believed to be true.
That is not what a theory is. A theory our strongest idea about how the world works. Gravity for example is a theory. Every time you drop an object you test this theory. The object falling is a fact the theory is why we expect it to fall. As a side note evolution has been tested and observed countless times.@@hetalvn
How can you argue that the four-triangles cut is not stable enough to hold it together, but then ignore that the Y-cut has one of its three portions that is exactly the same and not count it against that way of cutting. Can't have it both ways.
I think it has to do with the size of the triangle slice, which means more crust for stability. Double diagonal yields 4 triangle slices that are each ¼ of the whole sandwich, the Y cut has 1 triangle slice that is ⅓ of the whole sandwich.
There's actually an entire branch of mathematics dedicated to fairly slicing cake among an arbitrary number of people. UpAndAtom has a great video on it.
dude I was just thinking about the ham sandwich theorem, where you can cut 3 solids evenly with uniform density anywhere in a 3 dimensional euclidean space with a single plane ("cut")
Didn't they already solve this with the "how to feed 19 people with 18 apples" style of question? The answer there was to make applesauce, or lemonade if using lemons, etc. For the cake problem, the answer should be to make it into a chocolate cake shake. Gabriel Iglesias would approve.
the best part of this channel is the experimentation and the weird, funny and unexpected things that happen during that, like I don't care about cutting sandwiches, but seeing Santi or Mat in the kitchen experimenting and taste testing with the team is cool
4:11 I got so confused cuz I thought you calculated the whole bread surface, which would have been the same for both cut. Had to rewatch a few times before noticing the word "crustless". You got me scared there, Santi Small edit: You got *_us_* scared there, Santi
Im still lost ngl. Its not like he took a certain amount away from each side with crust, he straight up used the length of the whole thing. Why and how are the results different? It feels like that infinite chocolate bar trick where you move the pieces around and end up with 1 extra piece Edit: OH, is he including the 3rd dimensional side on the inside of the sandwich? If so, that makes sense how you have more surface area. He just doesnt mention that part in the calculation, so its kinda confusing
Nope, it's still extremely wrong. The sandwich is assumed to be a 4.5"x4.5" square. However when cutting it horizontally, the height of half a slice suddenly becomes 1.25" instead of 2.25", while the width remains the full 4.5", which would assume 1" of crust for the height and none for the width, which doesn't make any sense. And I don't even know how they calculated the surface of the duff cut, it's just ridiculous. Bread doesn't magically expand when you cut, the total volume and top surface will remain the same no matter how you cut it. Even if you decide an arbitrary "crust" width, the "good" surface will remain the same no matter which cut you have, because the crust "surface" will be spread between the slices anyway. I don't know what they drank when writing this episode, but their premise is fundamentally flawed, or they're calculating something entirely different that was lost in translation somewhere along the process.
Ok, now I understand the confusion, thanks to another comment. They're talking about the perimeter, but showing surface numbers and graphs and talking about sqin instead of just inches. Seems I was correct in thinking something had been lost in translation. They should probably redo the calculation part, I'm sure many more people are as confused as I was... Edit: Aaaand, I was wrong! I think I finally got it, and indeed they are talking about crustless surface, but the way they present it was not clear to me (and seems I'm not the only one...) Edit 2: They did forget to calculate the surface of the undersection though, which would have drastically reduced the differences... They only calculated the top surface and the cross-section surface.
Yeaaah, so would I, as I'm pretty sure it doesn't actually work. I'm quite sure the cuts don't intersect so just doing those 3 cuts wouldn't separate the 3 pieces
Ok but the animation around 3:40 to 4:10 is just wrong, it’s showing the top of the bread which is the same each time, instead of the bread from the side view which is what the script was intending
Yeah this animation choice is so confusing and honestly kinda awful. It makes it seem like they are trying to be intentionally misleading with the numbers, which is something I would very much not expect them to try to be doing. And if it turned out that was the intention I would find that to be extremely disappointing.
I was wondering how different cuts got us more sandwich until I found this comment and realized Santi was talking about the surface area of the side without the crust.
I'm honestly just puzzled they didn't have the budget to do this IRL. It would have been so much easier if they had an actual picture of The Santi Cut™ And that would have solved the messed up graphics, too
the problem with the bias cut is in sandwhichs is that is lowers the amount of bread you get in some bites. that can RUIN a sadwhich. too much or too little bread makes it dry or wet or any number of icky things. also the correct answer is vertically because thats how my dad always made them.
Wrong. The bias cut creates a single pocket to hold fillings, while the vertical and horizontal leave a weak spot in the middle on the bottom when eating.
At 3:33 (and a bit ahead), Santi is talking about the surface area for the crustless cross section, but the images show the area on the top bun. This threw me off at first (because obviously cutting a square differently doesn't alter its area) and I had to rewind a bit to actually understand what Santi was saying. That is a disappointing misunderstanding by the editors and it probably bothered me more than it should.
no, bro. I'm sitting racking my brain trying to figure how 2 equal sandwiches have different surface areas??? thats bad on the editors, but thanks to you for saving my brain😅
ohhh okay, so thats what he meant. i was also confused on ho a sandwhich with the same surface area was showing math that made it have more. he should have used the word perimeter instead
It needs a part 3 where they actually show the math correctly on screen. Seems the animator didn't get that they were talking about the inside of the sandwich. They spit these out too fast. Also, they really didn't get the point, because the initial surface area doesn't matter, as it changes as soon as you take a bite, so unless you eat a sandwich slice in one bite, this is worthless. They need to think about how you would take bites out of the sandwich. Here, a horizontal cut would result in a more uniform crust to no-crust ratio. If you want to make a video about this, do it right.
@@bobthegoat7090 you know that when you take a bite out of a sandwich you’re *eating* it, right?? Like, you don’t spit it out, you *eat* it?? That’s the whole purpose?? You’re eating more sandwich??👀👀
@@bobthegoat7090 That's why the irl test is important. What you're saying about the horizontal cut might make sense when it comes to the nuances of practical sandwich-enjoyment (I think that likely just comes down to personal preferences and the type of sandwich in question), but their conclusions really do provide more to work with. For instance, I imagine that a basic grilled cheese might taste better with a horizontal cut, but the example sandwich in the video is totally different, and I could absolutely see their cut being really tasty for one like that.
this is the first theory video where i thought 'i wish matpat was here' because matpat wouldnt just use math to figure this out, but actually make, cut and eat the sandwiches to see if there actually was any difference
@@raton324 Nope. No matter how you cut it, you can't have any more or less surface area. Unless your blade is more of a masher and destroying some of the sandwich. 4.5*4.5 is the total surface area of the sandwich. Cut it once or a hundred times, the total is still 20.25.
@@mikedurham3563 I thought that, too, but we all misunderstood. The calculation is for the surface area *of the crustless face* of the sandwich, not the entire thing. Top and bottom have crust along the sides, and the other faces are entirely crust; the calculation is for the remaining surface area after discounting those.
@@IceMetalPunkyeah but the animation in the video makes it seem like we are calculating the top surface area. They should put a pinned comment clarifying the mistake. Wow...look at me, demanding scientific accuracy in a sandwich video 🫡
@@theKiroo I agree that it's confusing, but I wouldn't say it's inaccurate. Because while the lines look like they're outlining a different side, the numbers in the diagram are correct for the sides they're actually measuring.
If you are focused on surface area of non-crust sides, structural integrity, and having sizable pieces larger than bite size, clearly going crustless is the way to go. This whole video is made around the assumption that the crust is less appetizing, not for me, but if the enjoyment from the crust is so much lower for some people that they need to optimize how a sandwich is cut, then the crust itself should just be removed.
Does anybody else die a little inside every time they show a sandwich being cut horizontally? I'm not necessarily pro-diagonal, but I've only ever seen sandwiches cut diagonally or VERTICALLY (you get symmetric halves that way)
@Featherine-zp3vs I see you're promoting some horror content, hope it gets covered at some point! I personally recommend promoting your videos without praying on the death of another creator tho ❤
This is all incorrect. You're eating the same bites regardless of how you cut it! Just don't cut it, eat the edges first, and then all the final center bites are amazing. Unless it's a foot long sandwich there's absolutely no reason to cut it.
I can't not cut my sandwich. Also, eating normally, almost all of the center will be gone. By starting in the center, you get more crustless pieces. Also, sometimes it can just be fun to do these things.
Granted, I think that the arguments on the KIND of cutting is more about the perception. People saying that they end up feeling they're somehow getting "More sandwich per sandwich" in spite of the volume remaining the same the entire time having something to do with this surface area question
The reason to cut a sandwich made from a sliced loaf is it is easier to hold and eat in one hand without the sandwich falling apart. You basically need two hands to hold it otherwise, because the edges tend to curl away and release stray innards.
@@simplyepic3258because you might need your other hand for something else? whether you're on the go and carry a bag/umbrella etc or work in an office and eat at your desk.
It feels like there's a huge part of this video missing, the best part of this channel, in my opinion, is the irl testing and the funny stuff that comes from that, I love seeing the team interact, instead we just get the bare minimum and it feels like I'm watching a video halfway through
Santi: "The debate that has split sandwich eaters for years is whether you should cut your sandwich horizontally or diagonally." Me: "Or not cut it at all." *10 Minutes Later, No Mention of This* Me: ". . . Or not cut it at all?"
Santi: Team no crust has been rejected and sent to spend time-out in a corner. Also Santi: The best way to cut a sandwich is the one that gives you the biggest crustless edges. Me: **Confused team no crust screaming.** What's wrong about just taking the crust out of the sandwitch if you don't want the crust? Am I missing something? Do 4 cuts along the edges of the sandwich to get rid of the crust. 100% good bites. Do you want even more edge surface area? Cut that into triangles, but at that point you're just being fancy.
I think part of the reason why is because they say the crust gives structure to the sandwich and keeps it from falling apart. The other part is “what are you, a child? Can’t take a little crust on your sandwich?” Which is why they told us to go sit in time out in the corner. Like a child. Personally, I think if you can’t keep your ingredients in your sandwich without crust, you need to either build it better or hold it better.
it is mathematically tested, the best kind of test? for reals tho, the cut depends on the bread type, crust, density, texture, bite size, moisture, holding method, ingredients, etc
@@gabbonoo the way hesuggests cutting it is difficult to do and annoying, and it still might not even hold the sandwich toether well. definitly should have been tested
This assumes that each bite of the sandwich must originate at an edge of the original sandwich piece. A horizontal or vertical cut leaves a piece large enough that you will not clear it in just two bites deep. You will take several bites where a non-crust edge is created, making the next bite have more non-crust edge. By the logic used here, the winding surface of the non-crust edge created by bites is superior to cuts by knives - think of how fractals are infinitely long even though you can see the pattern. We are also ignoring that chewing both mixes the food and further increases ceistless surface area. In short, the best cut for a sandwich is the one that best meets your eating style and the sturdiness needs of the sandwich.
Thank you I totally agree. Plus, with the angle cut, by the time you are halfway eating the sandwich because you’re not biting at an angle, one bread is smaller than the other, allowing the ingredients to fall apart.
You could argue that a bias cut gets more surface area, but i think it trows out the equilibrium of the layers of a sandwich. Some of the first bites into ther bias cut sidess will result in less of some ingrediens and maybe even more bread.
8:45 I'm not sure if anyone else has noticed this, but ever since Santi took over the channel, we have gotten so much more Spanish and Hispanic/Latino culture in the videos. I might be going crazy, but as a hispanic girl this is so amazing since this is a channel I have loved for so long, and it also shows how in touch Santi is with his culture. Is it jst me? Either way I think it's cool.
Yes. I've never seen any monster cut horizontally! Santi said, "it's about uniformity" while exemplifying a cut that is not uniform, two different pieces entirely, only vertical is uniform. Smh 🤦
I literally couldn't focus on my of the video because that threw me so hard. No one in history has ever cut a sandwich horizontally. That's completely insane. Most people do vertical, and some fringe people do diagonal.
I always cut my sandwich diagonally because it's very consistent, rather than with horizontally, you have top guess where the middle is. I also eat the crust first, so it tastes better (well, except for grilled cheese, the crust makes virtually no difference in taste).
The club sandwich only needs those toothpicks because as much taller than other sandwiches, a regular sandwich can do just fine cut into four triangles
@@bmw7136 I actually make sandwiches-as-chopped-salads at home fairly often (exactly the same sandwich ingredients, just without the bread) and they are fantastic. Would definitely recommend.
I am so confused. I've eaten sandwiches for my lunch almost every weekday for YEARS and I just cannot fathom why the cut surface area is important. Shouldn't it be that you're trying to get an even amount of crust per volume? And the unevenness of bites makes it a futile avenue to optimise... Also doesn't the three-way cut ALSO produce a club-style section with the crust only on one side of one of the three? I guess I can have a go anyway. I'm intrigued by the idea of the bias cut, so I'll try that next time. No thanks for the "wash your cheese" tip in that short though, tried it a couple of times and I really cannot see or taste a difference.
here's my take/understanding: 1.people don't like crust so they prefer to eat the interior of the sandwich and suffer through the crust at the end (that doesn't mean we should maximize for no-crust surface area!) so uncut sandwich isn't optimal. 2. diagonal/vertical cuts are a good step in the right direction, but if you don't eat the point with mostly crust, you'll get your cheeks dirty by trying to eat the interior of the sandwich. 3. cut in 4 is perfect to eat the interior without our cheeks touching the interior of the sandwich, but because of the steep angle, we loose in rigidity and it falls appart. 4. the 3cut is a balance so you can eat without dirtying your cheeks and touch the crust only at the end without the sandwich falling appart. 5. bias cuts are only for aesthetics. I believe that's the true reason 3-cut is superior, none of that area BS!
The graphics of the surface areas Santi was listing off were showing the wrong surfaces throughout the video. Either that was a mistake, or they just tricked me into commenting.
The butchering of units, inches and square inches, is killing me. The slice of bread being 4.5 in × 4.5 in is NOT AT ALL the same thing as it being 4.5 in². Also, 4:08, definitely meant to say "square inches"
Couldnt help but notice you had the width of half a sandwich at 1.25 in but if a full side of a sandwich is 4.5 then the width of half would be 2.25 in, you think you can scam me? I understand area
Every bite you take changes the surface area of the sandwich such that calculating what it is at the beginning is meaningless. You create new portions of surface area from the space you just took a bite from that weren't part of the previous surface area. The size of your bite is what matters for the surface area of the bite you just took, which is the same regardless of how you cut or don't cut the sandwich.
Thanks! For me depending if and how a sandwich is cut will change how I eat the sandwich which will provided different ratio of crust and center into one bite
it's also kinda pointless depending on a persons taste anyway. as someone who just eats bread frequently the cut is more about convienence of holding and eating rather than the taste.
Something I didn’t see mentioned here, by cutting up the sandwhich you’re also feeling like you’re getting more out of your sandwhich bc it’s taking longer to eat thus making you feel more full. Eating slower is somthing mentioned in a lot of diet circles
It seems telling that there is no images of a sandwich cut using the “santi slice”. I am guessing that they either just thought of the idea and did the math but never actually made a sandwich with that method, or they made it and it looked like a mess because I can only imagine that a santi slice sandwich would end up being a mess
Showing a club sandwich as a sandwich that's cut into 4s that would fall apart is an UNFAIR COMPARISON!!! All the other sandwiches shown were using TWO slices of bread and a club uses THREE.
I love food theory, but at 3:36, you say the height would be 1.25 in when it would actually be 2.25 in. The total area from any cutting method will be the same. At 5:07, you also state that the Duff cut has more than 10 in2 more surface area than the straight, but this is also not the case. I realize while typing this that you may have meant perimeter instead of surface area. In this case, the best method would be to keep cutting it infinetly, but as you say, impractical.
Actually, I just understood what they mean, actually they did calculate a surface, but were calculating the top surface + cross-section surface. They forgot the undersection however...
Isn't the surface area of the sadwhich basically irrelevant, since the surface area of a BITE is really what you're tasting, and the size of the bite isn't changing based on the cut? Just my 2 cents tho.
Slicing your sandwich three way ONLY Works if you have 3 People to eat each piece; If you only have 1 Person to share a sandwich with; YOU SPLIT IT IN HALF; If you have 4 People; you split each half into quarters; and each person gets a 1/4 Slice of Sandwich!!
0:50 Ummmm. No. With this type of bread, you cut vertically, so both halves are symmetrical. If you have the weird perfect square bread, horizontal is vertical, but diagonal is okay too because it will always be symmetrical.
@@pengxu9244 Yes, but unless your only goal is to look at the sandwich: surface area of an uneaten, cut sandwich is pretty meaningless. As soon as you take a bite you change the surface area. The bites you just take will also have a consistent surface area regardless of how the sandwich is cut. This is probably the dumbest video on the channel to date.
The problem with the whole thing is that the visual suggests that you get more surface area on top of the sandwich, making it look like you literally get more bread, which obviously, you don’t. Instead you reveal slightly more surface area along the side of the sandwich, which… doesn’t matter. But bro says fOrTy PeRcEnT mOrE sUrFaCe ArEa for some reason. Idk why I even bothered to comment lol, I was just cut by this video as deep as that sandwich.
Nah man, not alone. I too just bite into it- I mean it just takes too much effort to cut them when I'll be eating them on my own. I only cut grilled cheeses and those r always diagonal.
Who cuts it left to right? If I'm not going diagonal, it's straight down the middle so the halves are mirrored. Horizontally makes one rectanglular side and one with that muffin-top edge.
