I told a cat food company how much they’d save by using taller cans (2020)
twitter.com
twitter.com
> "There is a nice letter from the Carnation canning company which is reproduced in Applied Mathematics by Farlow & Hagggard (Pub. Random House, 1988) p613 on why cans do not adopt this optimal shape."
0: https://twitter.com/theohonohan/status/1235646988357701632
Somewhat surprising for an 84-year-old math professor to have an active twitter account, but not out of the question.
[1] pinterest.com/mathematicsprof
If I link to the potus piterest page from my twitter page, it would not mean anything.
the linking goes both ways: the pinterest page also points to the @mathematicsprof twitter handle.
Was a bachelor for 3 years on my own, and counted my blessings every time I opened a loaf of bread. Then got married. To a left-handed woman.
But maybe that's my right privilege talking.
I'd bet lefties spin tops counterclockwise, too, by and large. Seems to me it comes down to external rotation of the wrist being easier than internal.
This phrase always irked me, because when you're rotating something, it's not moving either left or right. The top of it moves right, the bottom moves left. Is it tightening or loosening?
Further, the only time a phrase might be needed to work out which way to tighten something is when it's unusually-positioned, for example upside down or facing away from you, and in those cases "righty tighty, lefty loosey" gives exactly the wrong answer (to the extent that it gives an answer at all, since "clockwise" and "right" are not the same thing).
I prefer the phrase "clockwise moves the thing you're turning away from you, anti-clockwise moves it towards you", which I'm hoping will catch on.
I remember an old mechanic sarcastically saying this when I was a kid and as as he worked on an old car that had wheel nuts that did up the other way on one side of the car.
It really pissed him off.
A quick search seems to show that this was a thing. https://www.quora.com/Why-did-the-old-Chrysler-cars-have-lug...
> Improvements in metallurgy, changes in brake design, first to finned drums and then to disks, and changes in wheel nut architecture, from flat washer to conical design have effectively reduced the problem.
The other is, follow the fingers not thumb.
I have no idea why steering wheels work that way. If I had to guess it would because most steering wheels are below eye level so it makes sense that you move the top of the wheel in the direction you want to go.
Note that if you are holding the top half of a steering wheel that follows this convention, then when you turn the vehicle the centriwhatever force on you will tend to oppose the force you are using to turn the wheel. If the steering while used the opposite convention, that force would reinforce your force. That positive feedback would make it a lot easier to lose control during the turn.
And the answer is "You look at the top, of course, why would it mean the bottom?"
As a bachelor I virtually make all my own bread so I don't really notice, but I think I do take time to figure out which way to twist before opening so maybe that is a thing.
This is just to say, the things you never think about, and I enjoyed the irony of your situation from the reverse side.
I so wish that the status of bachelor automatically bestowed the gift of being a baker. Sadly, in my case, it has not done so. I've tried to make all kinds of breads, from flatbreads to sourdoughs to leavened and unleavened to soda breads - all sorts. I would wish consumption of my output on only my worst enemies.
Happily, though, I can buy packets of bread mix in the supermarket and put them in a bread-making machine.
I now for better or worse have the Toll House cookie recipe memorized, but I'm terrible at making baked goods look appealing.
That way I also have an excuse to not eat the last slice.
Come to think of it, I haven't kept bread around for at least a year.
The Twitter caption is supposedly about making short cans taller, while the letter is clearly a response to making tall cans shorter (points 2, 4, 5).
If you're going to make a repost at least get it right ;)
I don’t know how people have the ego to think they’re going to study a problem for an hour or two and discover solutions that have eluded competent people that have spent their careers studying the problem.
I would say most novices soon find out why things are done the way they are done. True innovation is really exceptional.
Many times, I've stumbled across reports from other fields about solving problems in ways well known for their field, but unknown in mine that would apply well for some problems in my field. A (kindly worded) suggestion and reference from someone who thought to be helpful would be useful.
Of course, some fences are Chesterton's fences, and some are just randomly placed fences in weird spots.
E.g. Instead of telling a cat food company how much they would save with a different size, you could ask a company why they don't optimise for the lowest surface area, or if they have considered it. The first assumes you are right and they are wrong from the get go, while they are the domain experts.
Really interesting dialogue though!
Roughly, "it should always be okay to ask, since they can always just say no" vs "saying no is a bit awkward, so only ask for things if the answer is going to be yes".
In terms of the above:
Sure, the person doesn't have to apply the suggestions. But the only reason you'd make a suggestion is if you think something's wrong or could be improved. And suggesting something is wrong if it isn't is awkward. etc.
I personally find that approaching problems with an attitude of "Why do you do it like that instead of like this?", or even "have you considered this?", usually provides more insight and a more collaborative discussion than "You should do it like this".
Every person out there has a brilliant idea that just needs to be implemented (by someone else), fitting nicely into the "why don't they just".
Engineers are conspicuously good at something and then it's fun to make fun of them, but I don't think their behavior in this regard is any different than anyone else, except that they may more frequently give thought to solving something.
"why don't you just" is a question, and if they had not asked said question they (as well as the readers of their book) would not know the (right) answer to it.
And don't get me started on the cereal box people... THEY SHOULD BE CUBES.
And I'm looking at you water bottles - if you were all cubes too don't you realise how you could nest to avoid air during shipping? They could have cut outs in the bases for lids... Idiots everywhere!
I'm going back to my car. It runs on petrol because the idiots in engineering haven't worked out it could just run on hydrogen yet.
(All the above have reasons for being the way they are, and I think it's usually a good idea to understand why something is the way it is before you try to change it)
What if someone that had no idea about programming came over and told you that you could program faster if you used a for loop, without ever reading your code? They probably think I suck at programming, or think a bit too much of themselves.
This is a mathematician telling canned packaging experts that they could save money by considering the size of the can.
Two instances recently come to mind, my asking my father (an orthopaedic trauma surgeon) why we don't just make hips (in total hip replacement) out of dead people's bone instead of out of whatever material they do now, and my father's asking me something about why blue LEDs are supposedly so hard (why don't you just wrap them in blue film).
On the Internet, everyone is always like "you guys always think you can do our job better!". In real life, everyone is always like "hmm, that's interesting. Let me explain why". But perhaps it's just everyone I know.
I saw this the other day too in another HN comment⁰ where people assume that "Why don't you just" and questions like that are demeaning.
It's disappointing, because it shuts down any form of reasonable discussion, and causes people to automatically assume the worst intentions without applying the principle of charity. But on the other hand, mansplaining is actually a real, pervasive problem, so it's understandable that people can become viscerally negative toward anyone who starts explaining something without first verbally demonstrating humility.
When you ask your father why something is done a certain way, you're seeking information. You're not questioning the competence of his field or implying that you have seen an obvious solution that his entire field has simply missed.
However, when engineers say "This change will require 4-6 weeks" and their boss says "Can't you just add a form field and run a database migration and ship it tonight?", the boss is casting doubt on the team's assessment of the situation and their competency in executing.
The demeaning nature varies with intent. If someone is asking a simple question ("Why can't we just ship it tonight? Help me understand") it's nowhere near as bad as a boss waiving away objections with an over-simplified order ("Just change the code and ship it tonight!")
What is a bit more pervasive, though, is a growing belief that any question of the form "why can't you just...?" is inherently condescending and rude.
Yes, I agree that a "help me understand"-style question is the ideal way to ask, but I think people have definitely become more (IMO unreasonably) sensitive against the "why can't you just...?" form, when often it's asked innocently and without a trace of disrespect.
Something I always try to remind myself: I can't control other people's behavior, but I can control how I react to it. We should try to gently correct truly bad behavior when it is safe and constructive to do so, but it generally does us no good to get all worked up about it in the first place, especially if it's something as benign as a poorly-worded question. And being impatient with these sorts of things can be to our detriment; sometimes a fresh, layman's perspective can provide an insight we hadn't considered.
Maybe if the brand hooked into it as a marketing effort they might publish a response all over their socials, but you'd certainly not a private reply.
No response, and I'm pretty sure I'm on their "this guy is a crank" list now.
My dad had various Plant Manager and Production Superintendent roles at Goodyear for many years. He could tell you exactly how each machine the factory operated, and why, and what the functional tradeoffs were of different designs. He had a Master’s in engineering, which again is a common path to this sort of role even in tech — join as a capable engineer, learn the product and industry, and somewhere along the way learn that you have either talent or interest in management or communication.
What impresses me the most about this is the quality of triage required to pass just the questions that really need it on to the engineers to avoid oversaturating their bandwidth. I got connected to them almost immediately.
But I'm also 100% certain that if someone sent a random letter to Microsoft offering advice on the design of their Xbox console, it wouldn't even make it to their engineers, much less actually get a response from anyone within the department.
Real Product companies tends to take these things seriously. Or at least try to explain these sort of things.
But that is only limited to small -medium , family ran or private companies. Once you get into large public companies there are things that can not be said without first clearing with legal.
Marketing: Hey you engineering nerds. We just got this letter from an actual Professor, saying we can save money changing the designs you made us use for the cans! Fix your mistakes or prove why the way you made it is better!
Engineers: Hold my beer.
The Engineering Guy: The Ingenious Design of the Aluminum Beverage Can
I just reduce my own tomatoes if I need paste.
It might help to realize that plastics are extremely resistant to acids. Hazardous Industrial acid products, far stronger than anything a consumer can purchase, are stored in Polypropylene barrels. Generally speaking plastics are considerably more resistant to inorganic chemicals than even specially formulated metal alloys.[1](link even lists the resistant data for tomato juice :)) Additionally, metal used for canning is usually(always?) lined with plastic[2] to keep metals from leaching. Ironically canned foods with bpa liners are one of the biggest vectors of BPA intake we know of.[3]
[1]https://www.usplastic.com/catalog/files/charts/LG%20CC.pdf [2]https://www.ewg.org/research/bpa-canned-food [3]https://www.sciencedirect.com/science/article/abs/pii/S00139...
[1] https://www.puprise.com/whiskas-tuna-in-jelly-wet-cat-food-c...
I'm not sure about 1987, but today, Carnation is a lot more than "a cat food company".
Just because you're an expert at one thing does not make you an expert at everything.
Be it out of hubris or genuine interest, that the author of the letter felt compelled to write to the company, they (and by extension us) received an insight into the decision making process behind one of the more mundane pieces of engineering we see on a daily basis (I certainly did)
"First, we assume a perfectly spherical cow..."
And then we also have the user perspective. A short wide can is easier to scoop from.
Don't you get problems with sharp edges that way? Also, even short cans have a geometry that I would expect to be hard to clean out completely with a cat's relatively short tongue. Also, cans are very light, doesn't the cat move the can all over the place compared to a heavier feeding dish? So many questions...
> Also, if you don't feed out of the can, now you have to store half a can of wet food in your fridge (ew).
Around here many people have reusable plastic lids to put on open cans, those work well. The bigger problem is feeding fridge-cold food to your cat, which is apparently not ideal. When I had cats we mostly fed them with individual portion-sized pouches. That generates a lot of non-recyclable waste though.
It's so weird here too because everyone drinks powdered juice all the time, but that's the only format it comes in, it doesn't even come in bigger quantities in cans, which I know exist. For example, one of the brands we have is tang which comes in all sorts of packaging elsewhere, but only packets here...
Can anyone comment on why that is?
I guess it's because of the fat ends - if these have constant thickness, the volume will only increase as diameter changes.
If you're punching circles out of sheet metal, you'll get more waste with larger circles.
I don't think you would. The design can be scaled up or down without impacting the proportion of the area which ends up being 'useful'.
What's interesting is how the letter's scrap argument has aged - take a look at cans in common household sizes today. Most are only capped on one end. The cylinder and opposite end are a single deep drawn [0] unit. That can body will consume a round portion of material and definitely increases overall scrap ratio over old double-capped cans.
A double capped can has 7 specific manufacturing tasks: 3 cutting steps (2 ends, 1 center), 1 roll forming step, 1 weld step to close the cylinder, and 2 end capping steps. Forming ribs into the cylinder and can should happen simultaneously when the cylinder is roll formed and when the ends are punched from sheet stock.
A single capped can has 4 specific manufacturing tasks: 2 cutting steps (1 blank for the can, 1 lid), 1 draw form step, and capping the end. Trimming the edges of the draw formed can should be combined with the forming operation.
Draw forming tools are expensive, the world is still full of cheap, perfectly functional, secondhand canning equipment. Either way, cans sell for cheap and at low margins. Takes a lot of volume to make ROI. Or... Aluminum! Aluminum is far more expensive than steel and is finicky to weld reliably. Draw forming soda cans eliminates any need for welding and allows manufacturing of thinner can walls, which reduces material consumption, and the bottom can be shaped to hold pressure with less material.
Doesn't matter how smart someone is, they always forget that economics doesn't give two shits about their feelings or how shiny their degrees are. Fancy little prefixes and suffixes to your name doesn't help change reality.
People buy things for a multitude of reasons. Because people are unique and allowed to do what they want for themselves, they tend to like and value things different from you. Companies capitalize on that.
Hell, want to get into some real nerdy math academics and economics? What about that Japanese chalk so many of them love to use? Something so exquisite and special to the professors of the world for black board lectures. They went out of business. Why couldn't your fancy letters and diplomas save that important product? Where are the equations for that one?
A majority of the market won't buy bigger cans because they prefer the convenience of one time, limited use to potentially having your fridge smell like low quality fish and chicken product gruel.
But that doesn't make for an interesting response to the ravings of an uppity math professor. They didn't quite feel like trying to explain the habits of normal, regular people to a lunatic is worth their time. So they decided to have a laugh in kind.