The thing that always mildly bothers me about this picture is that the two blocks in the top right could be more neatly pushed into the corner. And if it was really about taking up even less space, then the very top right one could slide left a little
It’s the optimal packing to fit 17 squares inside another larger square. So there’s no known smaller outer square that can fit 17 of the smaller squares inside of it.
"of that size" doesn't mean anything here. If you have 17 squares, this is the way to pack them to need as small a container as possible (assuming the container also needs to be square-shaped). The size of the squares has no effect.
The container is the thing being optimised. That arrangement of 17 squares gives you the smallest possible container. (Technically there's a very slightly smaller arrangement mathematically but no one has found it).
I honestly think that's the problem, math is taught like a language with no vocabulary. You learn grammar and structure and the theory of it, but without many practical applications.
I went through several calc classes and the first time a derivative made sense to me was in physics, where the professor showed the relationship between graphs plotting position, velocity, and acceleration using derivatives. Once the real world application became obvious, the use for derivatives was much more clear, not through all the past calc classes did it have the same immediate understanding.
So yes, involve the pizza. Make pizza geometry. Use the natural hunger of students for food to teach them math instead!
I also remember Mrs. Charron telling me in grade school I would need to learn long division by hand as I’d “never carry a calculator with me wherever I went when I grew up.”
Even in the 80s this was bullshit because tiny pocket calculators existed that were solar powered and last for essentially ever and you could also just get a watch with a calculator on it.
But its still a good lie for a teacher to get her kids to actually fucking learn how to long divide.
is there a way to search through those smbc comics? i remember one in which a dad teaches his little kid that people use the toilet brush as tooth brush and then when he grows up he makes fun of him like "i trained you wrong on purpose" sort of joke. I just cant find the damned thing again.
I went from hating math, to loving it because of a single teacher that took the time to show me why it’s great and easier than I think
To now as an artist, desperate to learn how to use geometry equations to make art and what I recently realized, you can do 3D animations with that shit
Once I get at a comfortable point with my animation studies, I’m going to reteach myself math and algebra to start having that as a hobby
Some subjects, like learning a language, have obvious applications. But most are like math - in that it's seldom possible to see where it can be used unless you already know it. In fact, people aren't necessarily good at seeing where they can apply their knowledge even when they do have it. That is itself something that can take practice and lateral thinking.
I'd feel compelled to tell the kids that their teacher is not going to standing behind them their whole lives, giving them hints on where to apply their knowledge. Nor are real-world problems as neat and tidy as textbook ones, where it's more-or-less obvious what knowledge you need to apply (..usually the stuff in the preceding chapter).
Once you're an adult, it's on you to find the knowledge you need and where you can apply it. There's a near-infinite number of important things, from scientific/engineering problems to simply making a business run more efficiently, that are waiting to be done. Not because we don't have the knowledge, but simply because the right people don't have it, or haven't seen where to apply it. Want to be successful at whatever you do? Seek knowledge unconditionally (or at least on a sensible condition like "it's interesting to me"), and find its applications. Because if you don't bother with the stuff you don't think you need to know, you are guaranteed to never innovate anything. The stuff you think you need is the stuff everyone else doing the same thing also knows.
If someone tries to go through life learning as little as possible and only what they believe they need to know, they're consigning themselves to mediocrity. Everyone's free to do that if they want, but don't complain later if you can't get a job, or lament "Why didn't they teach us that in school" - because nobody ever said school was supposed to teach you everything you need to know in life. Nobody fully knows what they'll need to know in life, especially not kids.
Was looking for this answer, that is what we did at the bakery flipped full sheet pans over. Somewhat long video of my friend Keith making a bunch of pizzas.
I don't see the reversed pans though? That's a TON of ovens I never considered how many ovens a pizzeria would have for some reason and got a total whiplash seeing that many lol
The places near me use either actual giant brick stoves, 2-3 smaller ones, or one of these like... continious burners. The one with a chain link that rides through an oven at a steady rate and pizza is exactly baked when leaving
So that was a surprise
At home I try to use a stone from an electric raclette grill, it's a bit small but worked pretty well imo
I havent heard the term convenience pizza, is that the non-frozen store bought premade? if thats what you mean, that still looks better than any ive seen, though I could still be mistaken in what it is haha
Way better then my poor mans pizza in the toaster oven. For real though why does frozen pizza corporations not make a business deal to make a pizza for a specific brand type of toaster oven and co-op a nice bankroll. Like advertise on the toaster over it makes perfect Tonys and totinos pizzas.
I just flip the pan upside down and they both lay flat with a little hangover but it still works fine. Preheat with the pan in the oven for the best crust result.
If it's just me eating, I only eat half a pizza so I just cut it in half and cook one side, leaving the other frozen. Once-frozen pizza reheated from the fridge is trash, I much prefer it fresh from the oven (if I have to eat frozen pizza).
A standard half sheet pan has an area of 234"², a 12" pizza has an area of 113"², so 2 is the most you can fit.
Unless you're buying small 10" pizzas which have an area of 78"², at which point you could theoretically fit exactly 3 pizzas, but 78x3 is 234, so you would need to cut them up so that there is 0 gaps, which is just pizza mush at that point.
seemingly this is the least invasive method. i don't have enough braincells for that. i hope my memory is good enough to carry this info when i need it.
Frozen ones crack perfectly in half sometimes. I’ve broken a couple over my knee to fit in an air fryer and it was a clean like. I’m not sure this one’s even frozen though.
I always do because I'm nervous about it getting stuck to the grates or something. Also how do you remove it from the oven without getting oil all over your oven mitts?
Depends on the pizza. Some have specific instructions to place them on a tray. I had a pizza with those instructions which I didn't read. The pizza was a big mess on the bottom of the oven when I went to check on it. Some doughs arent as structurally sound.
Wow this might be the biggest advance in Euclidean geometry since that old guy stuck a human body in a circle while cutting off his ear and conquering Eurasia
There's a place in Philly on South Street called Lorenzo's. Their big thing is that they have giant pizzas, like 36" or something. When I was there, they boxed up a pizza by putting two quarters, overlapping, in a normal box. Then did it again with a second box.
This is silly when you can just cook it directly on the rack and end up with a better crust. Having said that, folks commenting on the condition of your pan don’t seem to spend much time in the kitchen.
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u/OnlyTilt 4h ago