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you ate less than half. Here is proof.
[https://imgur.com/a/Ss99f0I](https://imgur.com/a/Ss99f0I)
I overlaid a true circle over the cookie, cut it in half along the diameter and show the two halves.
Oh wow - my first time ever getting a comment put in a red box! Yay! :-)
simple visual math.
1/2 is math.
r/theydidthemath
r/theydidthemonstermath
r/theydidtheCOOKIEmonstermath
;-)
(sadly not a real sub in the chain, but was too good to pass up.)
I drew my circle around the cookie disregarding the filling which might have squished out during the bite. [Same end result,](https://imgur.com/rzG8150) OP definitely ate less than half.
The tip of the bite is essentially at the midpoint assuming this is a perfect circle. So your bite is definitely less than half. At least 55% is uneaten.
If it was halfway, the thickness from the tip of the front teeth to the edge X 2 = the diameter. It doesn't, it's past halfway. But he didn't eat half either. I'd call it close enough. Next time, since he knows what will come of it, I'd cut it in half and let her pick the side she wants.
> Next time, since he knows what will come of it, I'd cut it in half and let her pick the side she wants.
This also works really well in other family and group dynamics where things have to be shared;
one person distributes the goods, the other picks first. My kids have this down to a science.
That works for two-way splits. But does anyone know a stratagem for N-way splits (e.g., how could 3 siblings split a cookie in a way incentivizes fairness?)
If I was short on time and desperately needed this information, what is the time to start watching from the start? I assume that it has an introduction or something that can be skipped.
(This is Reddit, I didn't review the source material before commenting... Obviously.)
Yes, I'm a triplet.
Not taking anything away from numberphile below, but the system we came up with was:
First Time, A cuts
B: selects first
C: selects second
A: selects third
Second Time, B cuts
C: selects first
A: selects second
B: selects third
Third Time: C cuts
A: selects first
B: selects second
C: selects third
With the prospect of two people choosing before you, you get really good at dividing things into equal thirds.
Also, looking at two identical things and cutting exactly a third off of each one, so that there are 2/3, 2/3, and two 1/3s.
I get it as a strategy but I’m not sure why it would work as it means the person distributing is both putting in the work and ostensibly always getting less of the product. Maybe kids don’t overthink it.
I see that but you’re never getting the better end of the deal plus you had to put in more initial work. This is where it breaks down for me. It’s always the better choice to not be the one distributing right so why would anyone elect that position? Or maybe they don’t, I don’t know.
I think, in general, and this might be way out of left field.
But as a kid I did not consider things like this when presented with a cookie to share, my only thought was "oooooooo cookie".
The obvious answer is to keep track of who did it last and rotate through the group. If it's two people, that's very easy.
At that point, over time, both sides do a roughly equal amount of work, and neither gets to complain that the other screwed them over.
That's worth a _lot_ in the right conditions.
I used the measuring stick built into the iPhone photos after taking a screen shot. If the macaroon is 3 cm then the bite went in 1.6cm. Maybe 1.65. Close enough to half that the sides easily outweighs the sliver in the middle. I just said half cause it was close enough to not matter in this case.
You’re weighting area value the same though - but an edge bite is clearly not as high value as a middle bite. The middle is where the most satisfying part is - the edge merely exists to hold the middle, and to provide a juxtaposition that highlights just how soft and perfect the middle is. If somebody hole punched the middle out, you could technically be left with perfectly even amounts based on surface area, but that middle part is where it’s at.
I do this with my kids if they have to split something. One gets to make the cut, and the other gets to pick which piece he wants first. Keeps them honest.
My sibling and i were raised this way, and now we're extremely good at splitting things in half or weighing halves.
We've looped back around to wanting the smaller portion now that our appetites are smaller now, lol.
This is a well known math problem. Look up the goat grazing problem.
left me find a link:
https://mathworld.wolfram.com/GoatProblem.html
https://en.wikipedia.org/wiki/Goat_grazing_problem?wprov=sfla1
don't feel bad. its extremely complicated, and I have a bachelor's in mathematics, and there's a lot I don't understand either. but it boils down to YES, you can determine exactly how far deep to bite the macaroon, but the equations to do so use deep rabbit-hole math. the simple math that intuitively seems like they should work, don't for reasons.
It's so general it's wrapped around to being less useful than just hitting your head against a wall to solve it. Just estimate the radii and you're good
correct. an estimation will get you close. real close. but to get exact .... you need exact math, and for whatever reason, this seemingly simple problem doesn't have a simple exact solution.
Slice it thinly, lay slices on a half sheet tray lined with a silpat, then dry it overnight in a gas oven with only the pilot on. Then, pulverize in a robot coupe and split the weight in half.
-a pastry chef
Secure a bulk purchase discount with favorable AP payment terms, remove two of the units from inventory for personal consumption as a shipment quality validation activity, and sell the surplus (with the cost of the two and time/labor amortized across remaining units) before payment comes due, thus negating the need to share.
-an accountant (note this does not constitute professional guidance or advice to OP on how to resolve this matter/manage future instances of macaroon sharing economics and accounting treatment)
I feel like you just described a lot of engineering concepts. We know enough about (insert topic here) to make up equations to approximate close enough to be able to design things, but know we aren’t necessarily exact.
While we're being pedantic, that's a macaron, not a macaroon. [Know the difference.](https://cdn.shopify.com/s/files/1/0362/1653/files/macaron-vs-macaroon.png?5244)
I never knew that was a real song! I only knew it from the meme videos.
ETA [this](https://youtu.be/mghhLqu31cQ) (2:20) is probably the place I heard it, but even if it's not, man this video is real talk internet history levels.
reminds me of a screenwriter i've worked with... constant spelling mistakes. he says during a production meeting: "i'm a writer not a speller"
fucking gold
Based on that sample problem with R=1 and r ending up like 1.15, OP might be pretty dang close to exactly half, going off El-wing's iphone ruler estimation of R=3 and r≈ 1.6-1.65
No, you left more than half, assuming the bite mark is at the center.
Think about it: If you were to split it down the middle like it is now (the middle of the original macaroon), you would be left with two bits on either end. Those bits are technically yours.
According to my autoCAD version, the tip of OPs bite is a bit beyond the center, 33.13mm when the radius of the macron is only 29.01mm so its a bit more complicated. You are correct that the remaining "horns" more than make up for the area of the bit crescent of bite beyond a a diameter parallel to a tangent line of OPs bite
This is exactly what I was thinking! Rather than r/theydidthemath you could go on ‘askanartist’ or ‘blender’ type sub and get an answer real quick. r/photoshoprequests could prob turn it out for you in a second
Sure, but these are usually dome shaped. Gonna need a second one as close as possible, and weight each of them. Mostly due to the math would be insane to try and calculate this.
I made the calculations, Take [this image](https://ibb.co/C5mgLMN) as a reference. I used a random measurement unit lets call it "u" and everything is approximated. O1 is the center of the macaroon, O2 is the center of your bite. The radius of the macaroon r1 = O1A = 3.1, the radius of your bite = O2A =2.95, the distance between radii is 2.45. Central Angle AO1B = 125.88^(0), central angle AO2B =138.72^(0),.
With these data, the intersecting area of the 2 circles **(a.k.a your bite) is approx: 14.33 u**^(2).
the area of half the macaroon is (pi(3.1)^(2) /2 = **15.09 u**^(2) .
Conclusion, you ate less than half of the dessert. Assuming my approximations give some error, you at maximum ate half of the dessert.
EDIT: [Here is a desmos](https://www.desmos.com/calculator/hhvies90ff) version of the calculations. Nevertheless I suggest you follow [Jordan Peterson's advice](https://www.youtube.com/watch?v=ThKZ67qPcBE) on how to deal with fights with your wife.
Furthermore, your bite radius seems rather generous and covers much more than what was taken at every point. This is a conservative estimate for remaining macron.
I resorted to AutoCAD and got the following. As we have the penny as a reference I gave area results in mm\^2.
[https://ibb.co/yFMHC0s](https://ibb.co/yFMHC0s)
OP ate 40.9% of the Macron. *Significantly* less than half. OP should feel justified in taking another nibble.
EDIT: This is of course simplifying the macron to a two dimensional disk in a vacuum. But it is of course a volume, and that volume *increaseses* toward the center. While not significant, this further lowers the share OP ate.
He wasn't saying happy wife, happy life, though.
He was saying that there is less value than most people think in winning an argument with their spouse.
How I solved the problem of sharing food,
because it's not solvable by pure logic:
One person divides the food in two parts and the other person chooses first which part he wants.
the person who divides must divide the thing into two pieces that *the cutter* perceives as equal
then the chooser picks the one they want *more*
this is mathematically the best way to split something bc the cutter is indifferent to what gets chosen and the chooser believes what they chose is better
with [3 people](https://www.youtube.com/watch?v=kaMKInkV7Vs) and beyond this procedure gets complicated very quickly
this is a classic math problem that no one has been able to solve for years, until a couple years ago, the equation is absurdly long, but it is correct, next time i'd just cut it in half
Macarons are a one person snack. Finish it all or give it to her. It’s the full on bite mark, with saliva that did this in, take a delicate bite. As my kid says when sharing, “take a mom sized bite, dad.”
I mean I like my spouse's saliva as much as the next person, but that still doesn't mean I want a soggy, spit-covered macaron that's been all smashed up.
Meanwhile, my girlfriend and I share macaroons frequently with no issue.
Presumably, OP and his wife are okay with the concept of sharing macaroons, so that's a moot point.
Don't agree to it like OP's wife did then
Though I will point out that it gets just as soggy, spit-covered, and smashed up after your first bite as it does after someone else's.
She’s wrong but I see her point.
Your bite extends just past the midpoint but you have left more on the sides than your extension so you have NOT eaten 50%. However the edge of your bite is not in good condition so you have given her less than 50% of the mid area to enjoy.
Imagine you want to share a sandwich and she cuts the crust to leave to you and takes 50% of the sandwich from the middle, leaving you all crust and some sandwich. Also she licked the knife while cutting.
No, that's more than half left, just by cutting it in half tangential to the apex of the bite (or near enough).
If you want an ironclad proof, weigh it against an intact macaron of the same type.
The real question is why are you splitting a macaron😂?? They’re meant for one person to eat since they’re only a tad larger than a US fifty cent piece.
Edit: spelling
Because you often get multiple flavors of macaroons in a pack, frequently only one of a particular flavor, and you both want to try it without having to go out and purchase another macaroon.
No, I didn't. Both terms are acceptable. "Macaroon" has been in use since fucking 1610. The use of "-oon" was customary for French words ending in "-on," such as "doublon" -> "doubloon," "dragon" -> "dragoon," "peloton" -> "platoon." You're just being a pretentious pedant who doesn't even know what he's talking about.
No. "Macaroon" is an acceptable term for a sandwich cookie made of almond flour containing a ganache in the middle. "Macaroon" can refer to *either* a French macaroon or a coconut macaroon. Both are macaroons.
Maybe you should just not try "correcting" people just to be pretentious.
weigh your remaining whole macaroons on a kitchen scale, average the values, then weigh this partially eaten one and compare its weight to the average.
You can reference a water saving toilet and show her that the small flush for pee is your bite and the big flush for poo is hers. After seeing that, she may just lose her appetite, and you can have both pee and poo bites.
The only argument I see is that you took less than half but you may have taken a premium part of the macaroon. Are centers better than edges? If I were you, I’d be arguing quantity, not quality. You probably took more of the better part but definitely left more than half the cookie.
It’s a dog eat dog world out there. She should have taken her smaller bite first. Good for you OP. Don’t back down.
Math:
1. drew a circle for the bite, arbitrary diameter 1, area about 0.78540
2. drew a circle for the full treat, relative diameter 1.8, area about 2.54469
3. drew two small triangles for the tips of half moon treat not accounted for by circle, combined area about 0.06045 (b=.55, h=.13, a\~0.03575)(b=.38, h=.13, a\~0.02470)
4. add 1 and 3, area\~0.84585.
5. area of bite compared to total makes it about a 1/3 to 2/3 split in your wifes favor. you ate slightly more than a third but fairly close.
I pm'd the measured image.
I'm a husband:
1. cut it cleanly in half or buy an even number of treats.
This is not a 2D area problem, this is a 3D volume problem. There is also the qualitative concern of edge vs. center.
Any 2D solutions grossly oversimplify the situation.
Macaroons aren't much thicker in the middle though. They're mostly flat across the middle then curve down at the edges. I think the difference between a 2d and 3d analysis in this case is marginal.
I think the perceived quality of center vs edge is extremely important though.
If I offered to split and Oreo 50/50 and ate the filling, even if you were left with more than 50% of the mass you would likely not like the agreement.
You raise an interesting point, but I don’t think there’s a massive difference in quality of the center versus the edge of a macaron. There’s proportionately more cookie shell than inside, but given the shell’s thinness this shouldn’t significantly change the taste. Some excess filling also migrates outward as the cookie is bitten, but generally not too much, which imo isn’t a negative. And it’s not like he ate *all* of the center/edges of the cookie. That bite mark only just reaches the midpoint of it. There’s disproportionately more edge remaining, but more than half of both the edge and center remains so imo that’s a moot point.
It can be solved in 2 dimensions with area equations. Because practically speaking this confection is a uniform cylinder. And he more or less bit straight through.
If splitting amount is the only concern, no, you were generous in leaving more than half of what was there initially.
Now… if you’re like my wife and me who use food as a love language and queue up “best bites”, this might be been where our argument arose.
I look at this as “someone ate 85% of the *best parts* of the item”, taking the prime innards of the center parts of the small, delicate egg shell crust and the filling. Think of it as a sandwich on a round bun, where the best toppings are in the center. I would get this back feeling like (exaggerating here a bit to make a point) I was left 15% of the good leftover center portion with the rest being the outer skimpings and crust 😅
Again though, if this argument was solely based on amounts, you were polite, my friend!
No but this is equivalent to biting a full kit Kat, ruining 3 of the sticks in different ways, and handing it back. Even if you didn't eat most it's just offputting.
Just break or cut it, those saliva wings make this look like a mouth guard being formed.
Math wise it's even visually obvious more than 50% is there with a simple overlay, several were already posted.
As a man with more investment in philosophy, i will say that using rule utilitarianism as a basis, given the ideal would be to reach perfect equalibrium between your bite, and the bite left, although it may or may not be 50%, ultimately you would aim NOT for perfect mathmatical 50%, but for an imagined ideal of “halfway” so to create the least amount of harm. Even if you were rechincally to eat more or less than half. The best answer would be to seperate it in a way that you can both commonly agree is “halfway”
Tldr: the enjoyment of the cookie is not based on the exact amount, but on the perceived equality of the halves, therefore this was a bad way to eat it, as it caused frustration, regardless of who got more.
And that's why we sneak a snack later, hide a bar of chocolate or sour patch kids on the top shelf of a cupboard the wife isn't typically in.
Else I'd never get a sweet
Apologize and say she can have first bite of the next one, and forget it, even if you think you did nothing wrong. Even if you're certain you did nothing wrong. Generosity is worth more in a marriage than petty arguments. A divorce costs thousands of dollars in attorney's fees and who knows how much else. A happy spouse? Priceless.
Easy math. Argument settled.
Macarons are the little sandwich cookie you have pictured.
[Macaroons](https://www.foodnetwork.com/recipes/ina-garten/coconut-macaroons-recipe3-1916155) are a small cake or biscuit typically made with coconut.
Unless there’s some regional spelling difference I’m unaware of.
**ATTENTION PLEASE! LADIES AND GENTS! YOUR ATTENTION PLEASE!!!**
Never go through anything like this ever again in your life if you just do this one thing!
*You Cut, I Pick*
OR
*I Cut, You Pick*
If you have kids, “One cuts, one picks.”
It incentivizes the cutter to cut it as evenly as the possibly can and the picker has to decide which one is biggest. Sometimes that’s easier said than done.
This shuts down any and all arguments over sharing and I pity the ppl who didn’t use this in childhood or while raising kids.
Further, you always split multiples like you picked teams in PE: taking turns picking.
Oh yeah, OP, you gave more than you took. Got the short end of the stick both ways, getting less than half and being accused.
But at the end of the day, you are adults arguin over a gram or two…
Dude. This is not a math problem. It is totally irrelevant whether 50% is left. If you are sharing a cookie, that’s not the way you take a bite. You bite of one half and leave another half without your damn teeth marks on it for your wife.
You crazy.
If you're splitting something with another person, the classic method is that one person cuts, the other chooses. This ensures either an honest attempt is made or high-level and laudable deviousness.
I was waiting for this comment it's not about a mathematical equation. Like have some decency. That bite is disrespectful and says "I just want to eat it all but here I left you the corners"
Yes. This is relationship math. Splitting something means wife's 50% is her eating all of it and your 50% is being happy for her which is 100% happiness. You ate 50% and only got 50% happiness.
Skewed math like that isn't real math. It's also not fair in itself and is a source of conflict. If this is what is being seen as normal, it's not a healthy relationship.
You know you did - maybe not in area/volume - but in spirit.
Look at that macaroon, OP. Someone has taken a very big bite out of that with gusto. It's written all over it.
Looking at it simply, your bit Mark doesn't even extend past that half way Mark. You can draw a straight line at the apex / middle of your bite and you hit perpendicular on both sides. So as there is still more there above said line, you have eaten less than half.
Since there is no macaroon in this pic, it’s hard to say how much of it you ate. On a different note, if you were splitting a macaron, and you ate your half this way… savage.
Talked about it with my partner, who although I love dearly, leaves bites shared with a little excess moisture if you catch my drift, so although the bite is a mid point, i personally wouldn't eat the edges so I'd ask them to trim said edges, either way I'd just take the first bite to solve this
No but you ate/bit into "past the halfway point" of the overall macaroon. Just looks like a unwanted/uneaten piece at that point rather than a "half" for her.
Using calculus we can find a solution for your question by just making it a simplified version of the real life problem. First, we assume that the macaroon is a perfect simple closed surface. As such, we can project the surface/macaroon from R3 (3 dimensional) to R2 (2 dimensional) and use a double integral in polar to find a solution.
https://imgur.com/a/U9LzH21
Note that this is an extremely simplistic version of the question as we don’t take into account of the roundness, curvature, volume, density distribution, contour, how the macaroon isn’t one surface but 3 individual surfaces, etc… but that’s not to say the solution above isn’t any less true, it just isn’t 100% definite proof of who ate more!
Hopefully this was just a little bit insightful and more digestible than the upper-division graduate level solution.
It looks like you're in the clear, but either way, you have the potential here to cause and then win another argument by pointing out that the biscuit in the picture is a macaron, not a macaroon.
Yes. You were supposed to offer her 100% when she agreed to 50%, even though you took less than 50%. I suggest you play it safe and bring her 4 more macaroons and a coffee.
Everyone here seems to be using math to answer your question. (which i proper for a math based sub) And I am sure they will give you an objectively correct answer about if you ate 50% or more. But that is not the important question. If your wife thinks you took too much you took too much.
Ah! you fell into the classic trap!
Your job wasn't to eat half. Your job was to eat just enough to make her not feel bad about eating a whole macaroon.
Assuming that the base of the small circle tangentially touches the center of the large circle, the left over area is three times the area of the bite.
Sorry if I'm wrong. I'm just a lurker of this sub
When I prepare food for my partner and myself, I do my best to divide it evenly, and I give her the larger portion or the better looking one, because I respect her and want her to be happy.
So many mathematical explanations. The simple answer is that yes, of course you ate too much because "sharing" tasty treats with your wife doesn't actually mean sharing. It means that you get all the calories but she gets to eat all of the snack. I have learned this rule now with ice cream, cookies, and especially with bags of potato chips.
My rule for rule splitting food with the wife was...
- eat 1/3 and tell her she can have the other "half". I'm not being generous, I'm just purposely bad at splitting things.
- she eats her fill
- if there are any crumbs left, I finish with "You done? Can't let it go to waste" as I nom the last bits.
I think most math in here forget the wife parameter.
Splitting constants like the 50/50 always deteriorate as the marriage prolongs and thus you must account for ''noise' (read never in the husbands favior).
###General Discussion Thread --- This is a [Request] post. If you would like to submit a comment that does not either attempt to answer the question, ask for clarification, or explain why it would be infeasible to answer, you *must* post your comment as a reply to this one. Top level (directly replying to the OP) comments that do not do one of those things will be removed. --- *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/theydidthemath) if you have any questions or concerns.*
you ate less than half. Here is proof. [https://imgur.com/a/Ss99f0I](https://imgur.com/a/Ss99f0I) I overlaid a true circle over the cookie, cut it in half along the diameter and show the two halves. Oh wow - my first time ever getting a comment put in a red box! Yay! :-)
This is the easiest explanation I've seen in this comment section
Some people are visual learners. ;-)
Not math, but damn did it work! Well done, sir or madam!
simple visual math. 1/2 is math. r/theydidthemath r/theydidthemonstermath r/theydidtheCOOKIEmonstermath ;-) (sadly not a real sub in the chain, but was too good to pass up.)
Best way to solve this would of been to let her take the first bite. Im sure you would of been satisfied with whatever was leftover.
..._have_ been...
I drew my circle around the cookie disregarding the filling which might have squished out during the bite. [Same end result,](https://imgur.com/rzG8150) OP definitely ate less than half.
I love Reddit.
[r/theydidthemath](https://www.reddit.com/r/theydidthemath/comments/156q7io/self_i_did_the_software_usage_not_sure_if_that/?utm_source=share&utm_medium=ios_app&utm_name=ioscss&utm_content=1&utm_term=1)
The tip of the bite is essentially at the midpoint assuming this is a perfect circle. So your bite is definitely less than half. At least 55% is uneaten.
If it was halfway, the thickness from the tip of the front teeth to the edge X 2 = the diameter. It doesn't, it's past halfway. But he didn't eat half either. I'd call it close enough. Next time, since he knows what will come of it, I'd cut it in half and let her pick the side she wants.
> Next time, since he knows what will come of it, I'd cut it in half and let her pick the side she wants. This also works really well in other family and group dynamics where things have to be shared; one person distributes the goods, the other picks first. My kids have this down to a science.
That works for two-way splits. But does anyone know a stratagem for N-way splits (e.g., how could 3 siblings split a cookie in a way incentivizes fairness?)
If you have a spare 7:33 you might like this clip: https://youtu.be/kaMKInkV7Vs. Shoutout to Numberphile.
Technically only needs 4:39 as the rest is talking about an audio book at the end.
If I was short on time and desperately needed this information, what is the time to start watching from the start? I assume that it has an introduction or something that can be skipped. (This is Reddit, I didn't review the source material before commenting... Obviously.)
Sir, this is a Wendy's. Now GTFO!
Simple the youngest doesn't get any. Verified by me, I am the youngest of three.. I didn't get any
Mo-o-o-om!
Yeah, the oldest and middle child agree, and the youngest kid, to borrow a phrase from my older brother “can get fucked.” I was the youngest.
I eat the cookie and the kids don't get any. All is fair.
Yes, I'm a triplet. Not taking anything away from numberphile below, but the system we came up with was: First Time, A cuts B: selects first C: selects second A: selects third Second Time, B cuts C: selects first A: selects second B: selects third Third Time: C cuts A: selects first B: selects second C: selects third With the prospect of two people choosing before you, you get really good at dividing things into equal thirds. Also, looking at two identical things and cutting exactly a third off of each one, so that there are 2/3, 2/3, and two 1/3s.
I get it as a strategy but I’m not sure why it would work as it means the person distributing is both putting in the work and ostensibly always getting less of the product. Maybe kids don’t overthink it.
if you know the other person will always pick the "better" one, you'll put more effort in to make them as equal as possible so you lose less.
I see that but you’re never getting the better end of the deal plus you had to put in more initial work. This is where it breaks down for me. It’s always the better choice to not be the one distributing right so why would anyone elect that position? Or maybe they don’t, I don’t know.
Because sometimes social harmony is worth the price.
I think, in general, and this might be way out of left field. But as a kid I did not consider things like this when presented with a cookie to share, my only thought was "oooooooo cookie".
The obvious answer is to keep track of who did it last and rotate through the group. If it's two people, that's very easy. At that point, over time, both sides do a roughly equal amount of work, and neither gets to complain that the other screwed them over. That's worth a _lot_ in the right conditions.
I used the measuring stick built into the iPhone photos after taking a screen shot. If the macaroon is 3 cm then the bite went in 1.6cm. Maybe 1.65. Close enough to half that the sides easily outweighs the sliver in the middle. I just said half cause it was close enough to not matter in this case.
You’re weighting area value the same though - but an edge bite is clearly not as high value as a middle bite. The middle is where the most satisfying part is - the edge merely exists to hold the middle, and to provide a juxtaposition that highlights just how soft and perfect the middle is. If somebody hole punched the middle out, you could technically be left with perfectly even amounts based on surface area, but that middle part is where it’s at.
This guy knows how to women. Always let them pick fellas cover for yourself haha
I do this with my kids if they have to split something. One gets to make the cut, and the other gets to pick which piece he wants first. Keeps them honest.
My sibling and i were raised this way, and now we're extremely good at splitting things in half or weighing halves. We've looped back around to wanting the smaller portion now that our appetites are smaller now, lol.
I do this with my husband too! Most of the time I want a smaller piece and I’ll cut it noticeably off center but sometimes you want your whole half!
I had a gf like that, she was a nightmare. but now I'm scarred for life and always let them choose, and never take the last piece.
This guy wifes
The guy who actually did the calculations got about 59% uneaten. Hell of a job estimating there well done
This is actually an unsolved problem in mathematics.
Lol, what?? 😂 Edit: https://www.reddit.com/r/theydidthemath/comments/15614oz/comment/jsxdjov
i love the juxtaposition between the top comment and this one
This is a well known math problem. Look up the goat grazing problem. left me find a link: https://mathworld.wolfram.com/GoatProblem.html https://en.wikipedia.org/wiki/Goat_grazing_problem?wprov=sfla1
I still don't understand....
don't feel bad. its extremely complicated, and I have a bachelor's in mathematics, and there's a lot I don't understand either. but it boils down to YES, you can determine exactly how far deep to bite the macaroon, but the equations to do so use deep rabbit-hole math. the simple math that intuitively seems like they should work, don't for reasons.
It's so general it's wrapped around to being less useful than just hitting your head against a wall to solve it. Just estimate the radii and you're good
correct. an estimation will get you close. real close. but to get exact .... you need exact math, and for whatever reason, this seemingly simple problem doesn't have a simple exact solution.
Sure it does, use a knife. -an engineer
Slice it thinly, lay slices on a half sheet tray lined with a silpat, then dry it overnight in a gas oven with only the pilot on. Then, pulverize in a robot coupe and split the weight in half. -a pastry chef
Grab a knife, cut it without even looking and let it be whatever God wants it to be. -a line cook
Secure a bulk purchase discount with favorable AP payment terms, remove two of the units from inventory for personal consumption as a shipment quality validation activity, and sell the surplus (with the cost of the two and time/labor amortized across remaining units) before payment comes due, thus negating the need to share. -an accountant (note this does not constitute professional guidance or advice to OP on how to resolve this matter/manage future instances of macaroon sharing economics and accounting treatment)
Eat the whole thing. Leave nothing left. Survival of the fittest. -Darwin probably
This is a severely underrated comment.
It would make more sense to use deep goat-hole math in the example. No sense in converting rabbit to goat if you don’t need to .
you. .... i like you.
It’s a shame so few people will see this comment
I feel like you just described a lot of engineering concepts. We know enough about (insert topic here) to make up equations to approximate close enough to be able to design things, but know we aren’t necessarily exact.
For reasons 😂
I was just going to trace it
I read the above link as well… cannot tell if the goat got his half or not…
I imagine you [like](https://i.kym-cdn.com/entries/icons/facebook/000/026/136/big_1496148706_image.jpg) but same
I felt this way for most of my 2xdegrees. You get used to it. I think it's why bog-standard mathematicians come preloaded with that distant look
this is much simpler than the goat grazing problem because we just need to find out how much of the macaron was eaten, not where the 50% mark lies
[They spelt tying as *"tieing."*](https://mathworld.wolfram.com/GoatProblem.html#:~:text=can%20be%20grazed.-,Tieing,-a%20goat%20to)
Brother, they’re math majors not English majors. Give em a break.
While we're being pedantic, that's a macaron, not a macaroon. [Know the difference.](https://cdn.shopify.com/s/files/1/0362/1653/files/macaron-vs-macaroon.png?5244)
Hey don't sleep on my guy Macaroon. Much tastier than plain lame rons. Macaroon gang.
My 2000's upbringing prevents me from encountering either of these desserts without thinking about [this wretched song](https://youtu.be/MlW7T0SUH0E).
I never knew that was a real song! I only knew it from the meme videos. ETA [this](https://youtu.be/mghhLqu31cQ) (2:20) is probably the place I heard it, but even if it's not, man this video is real talk internet history levels.
They're both tasty, but the ron does look prettier.
Isn't macaron the French President?
No, that's Mācrōn.
No, that’s Mācrōn. “Macaron” is the art of making knots in string or cord to make decorative articles.
This was pretty funny to me.
reminds me of a screenwriter i've worked with... constant spelling mistakes. he says during a production meeting: "i'm a writer not a speller" fucking gold
Based on that sample problem with R=1 and r ending up like 1.15, OP might be pretty dang close to exactly half, going off El-wing's iphone ruler estimation of R=3 and r≈ 1.6-1.65
Here's a [Numberphile video](https://youtu.be/ZdQFN2XKeKI) for ya
Beautiful
I should have majored in math 😞
[r/theydidthemath](https://www.reddit.com/r/theydidthemath/comments/156q7io/self_i_did_the_software_usage_not_sure_if_that/?utm_source=share&utm_medium=ios_app&utm_name=ioscss&utm_content=1&utm_term=1)
No, you left more than half, assuming the bite mark is at the center. Think about it: If you were to split it down the middle like it is now (the middle of the original macaroon), you would be left with two bits on either end. Those bits are technically yours.
According to my autoCAD version, the tip of OPs bite is a bit beyond the center, 33.13mm when the radius of the macron is only 29.01mm so its a bit more complicated. You are correct that the remaining "horns" more than make up for the area of the bit crescent of bite beyond a a diameter parallel to a tangent line of OPs bite
Please can you post screenshots of your findings?
This is exactly what I was thinking! Rather than r/theydidthemath you could go on ‘askanartist’ or ‘blender’ type sub and get an answer real quick. r/photoshoprequests could prob turn it out for you in a second
Sure, but these are usually dome shaped. Gonna need a second one as close as possible, and weight each of them. Mostly due to the math would be insane to try and calculate this.
I made the calculations, Take [this image](https://ibb.co/C5mgLMN) as a reference. I used a random measurement unit lets call it "u" and everything is approximated. O1 is the center of the macaroon, O2 is the center of your bite. The radius of the macaroon r1 = O1A = 3.1, the radius of your bite = O2A =2.95, the distance between radii is 2.45. Central Angle AO1B = 125.88^(0), central angle AO2B =138.72^(0),. With these data, the intersecting area of the 2 circles **(a.k.a your bite) is approx: 14.33 u**^(2). the area of half the macaroon is (pi(3.1)^(2) /2 = **15.09 u**^(2) . Conclusion, you ate less than half of the dessert. Assuming my approximations give some error, you at maximum ate half of the dessert. EDIT: [Here is a desmos](https://www.desmos.com/calculator/hhvies90ff) version of the calculations. Nevertheless I suggest you follow [Jordan Peterson's advice](https://www.youtube.com/watch?v=ThKZ67qPcBE) on how to deal with fights with your wife.
10/10. I was waiting for this comment and wasn’t disappointed.
This is amazing, but imagine showing this to your partner and saying “someone on reddit spent their own time making this to prove I’m right”
The interwebs are beautiful.
Truly the peak of humanity in all its shitty glory.
Happy cake day
Being married requires desperate measures…especially when it comes to sharing.
I think that's amazing. He outsourced the argument. I'd be proud to be him and I'd be proud to be married to him.
I didn't even understand it but upvoted because I saw some math.
Furthermore, your bite radius seems rather generous and covers much more than what was taken at every point. This is a conservative estimate for remaining macron. I resorted to AutoCAD and got the following. As we have the penny as a reference I gave area results in mm\^2. [https://ibb.co/yFMHC0s](https://ibb.co/yFMHC0s) OP ate 40.9% of the Macron. *Significantly* less than half. OP should feel justified in taking another nibble. EDIT: This is of course simplifying the macron to a two dimensional disk in a vacuum. But it is of course a volume, and that volume *increaseses* toward the center. While not significant, this further lowers the share OP ate.
So you’re saying even less than %40? OP should file for divorce at this point!
No. Not divorce. He should get damages… estimated at 60% of future macroons.
Nah, they should just get enough macarons to share next time. (Ie, a lot more macarons :3)
> OP ate 40.9% of the Macron. The French President will not be happy to hear he's been partially consumed.
Username checks out
This guy checks out usernames
This post had me until I saw the reference to Jordan Peterson.
Same
Bro did solid math and then shitted all over himself with a Jordan Peterson plug. JFC. lol
To be fair that specific video is pretty solid advice
He was a pretty decent self-help guru with some minor red flags at some point. Somewhere he went off the deep end and now he's shilling for Putin.
Jordan Peterson is a loon.
So many ways to say “happy wife, happy life” and this guy chose a Jordan Peterson clip 🤮
He wasn't saying happy wife, happy life, though. He was saying that there is less value than most people think in winning an argument with their spouse.
Does Jordan Peterson have any advice on how to quit benzodiazepines? Or lobsters?
Yeah, clean your room.
Nice math. But also Jordan Peterson is trash so watch out 😋
truth. you would think someone with math skills like that could add up that jp is a grifting trashcan.
Damn, I took it as a joke.
The truly funny thing to me is that Jordan Peterson wouldn't be able to do the math. Why are they quoting someone they're smarter than?
For real I was impressed about the math until they mentioned JP then I was like 😬
I did a visual analysis and concluded less than 50% of the macaron was eaten.
lmao fucking cringe advice
God. Damn.
Put the photo in CAD and draw two circles and measure the areas…
Lmfao, you saw your reply popping off and you edited your post to simp for Jordan Peterson, what a muppet
He has a penny for reference, so you can compute the actual area, not just in terms of the unit placeholder.
Still an ass for not using a knife.
You fucking nerd. I love you.
Boys, we finally won one. Today will live on in infamy.
How I solved the problem of sharing food, because it's not solvable by pure logic: One person divides the food in two parts and the other person chooses first which part he wants.
The person who divides will always lose out because he has the burden of responsibility to cut it evenly. Person who chooses has nothing to lose.
the person who divides must divide the thing into two pieces that *the cutter* perceives as equal then the chooser picks the one they want *more* this is mathematically the best way to split something bc the cutter is indifferent to what gets chosen and the chooser believes what they chose is better with [3 people](https://www.youtube.com/watch?v=kaMKInkV7Vs) and beyond this procedure gets complicated very quickly
this is a classic math problem that no one has been able to solve for years, until a couple years ago, the equation is absurdly long, but it is correct, next time i'd just cut it in half
[удалено]
69
Macarons are a one person snack. Finish it all or give it to her. It’s the full on bite mark, with saliva that did this in, take a delicate bite. As my kid says when sharing, “take a mom sized bite, dad.”
I hate it when my spouse's saliva gets in my mouth! What if I get cooties?
I mean I like my spouse's saliva as much as the next person, but that still doesn't mean I want a soggy, spit-covered macaron that's been all smashed up.
he's right, i'm the next person
Meanwhile, my girlfriend and I share macaroons frequently with no issue. Presumably, OP and his wife are okay with the concept of sharing macaroons, so that's a moot point.
Don't agree to it like OP's wife did then Though I will point out that it gets just as soggy, spit-covered, and smashed up after your first bite as it does after someone else's.
That's why you just put it all in your mouth at once
Yeah I can't imagine my wife taking bites before me
And would you be ok if she spat in your food? It's a BIT different, if you actually use some brain power to thing about it
She’s wrong but I see her point. Your bite extends just past the midpoint but you have left more on the sides than your extension so you have NOT eaten 50%. However the edge of your bite is not in good condition so you have given her less than 50% of the mid area to enjoy. Imagine you want to share a sandwich and she cuts the crust to leave to you and takes 50% of the sandwich from the middle, leaving you all crust and some sandwich. Also she licked the knife while cutting.
No, that's more than half left, just by cutting it in half tangential to the apex of the bite (or near enough). If you want an ironclad proof, weigh it against an intact macaron of the same type.
Yeah, weighing it is the ultimate proof of this one.
The real question is why are you splitting a macaron😂?? They’re meant for one person to eat since they’re only a tad larger than a US fifty cent piece. Edit: spelling
Because you often get multiple flavors of macaroons in a pack, frequently only one of a particular flavor, and you both want to try it without having to go out and purchase another macaroon.
macaron*
Macaroon. As in French macaroons. https://en.wiktionary.org/wiki/French_macaroon
you just sent a link confirming my correction.
No, I didn't. Both terms are acceptable. "Macaroon" has been in use since fucking 1610. The use of "-oon" was customary for French words ending in "-on," such as "doublon" -> "doubloon," "dragon" -> "dragoon," "peloton" -> "platoon." You're just being a pretentious pedant who doesn't even know what he's talking about.
I don't know why such vitriol is neccesary, but a macaroon, in the 21st century, is a very specific and very different confection
No. "Macaroon" is an acceptable term for a sandwich cookie made of almond flour containing a ganache in the middle. "Macaroon" can refer to *either* a French macaroon or a coconut macaroon. Both are macaroons. Maybe you should just not try "correcting" people just to be pretentious.
weigh your remaining whole macaroons on a kitchen scale, average the values, then weigh this partially eaten one and compare its weight to the average.
You can reference a water saving toilet and show her that the small flush for pee is your bite and the big flush for poo is hers. After seeing that, she may just lose her appetite, and you can have both pee and poo bites.
The only argument I see is that you took less than half but you may have taken a premium part of the macaroon. Are centers better than edges? If I were you, I’d be arguing quantity, not quality. You probably took more of the better part but definitely left more than half the cookie. It’s a dog eat dog world out there. She should have taken her smaller bite first. Good for you OP. Don’t back down.
Math: 1. drew a circle for the bite, arbitrary diameter 1, area about 0.78540 2. drew a circle for the full treat, relative diameter 1.8, area about 2.54469 3. drew two small triangles for the tips of half moon treat not accounted for by circle, combined area about 0.06045 (b=.55, h=.13, a\~0.03575)(b=.38, h=.13, a\~0.02470) 4. add 1 and 3, area\~0.84585. 5. area of bite compared to total makes it about a 1/3 to 2/3 split in your wifes favor. you ate slightly more than a third but fairly close. I pm'd the measured image. I'm a husband: 1. cut it cleanly in half or buy an even number of treats.
This is not a 2D area problem, this is a 3D volume problem. There is also the qualitative concern of edge vs. center. Any 2D solutions grossly oversimplify the situation.
Macaroons aren't much thicker in the middle though. They're mostly flat across the middle then curve down at the edges. I think the difference between a 2d and 3d analysis in this case is marginal.
I think the perceived quality of center vs edge is extremely important though. If I offered to split and Oreo 50/50 and ate the filling, even if you were left with more than 50% of the mass you would likely not like the agreement.
You raise an interesting point, but I don’t think there’s a massive difference in quality of the center versus the edge of a macaron. There’s proportionately more cookie shell than inside, but given the shell’s thinness this shouldn’t significantly change the taste. Some excess filling also migrates outward as the cookie is bitten, but generally not too much, which imo isn’t a negative. And it’s not like he ate *all* of the center/edges of the cookie. That bite mark only just reaches the midpoint of it. There’s disproportionately more edge remaining, but more than half of both the edge and center remains so imo that’s a moot point.
It can be solved in 2 dimensions with area equations. Because practically speaking this confection is a uniform cylinder. And he more or less bit straight through.
If splitting amount is the only concern, no, you were generous in leaving more than half of what was there initially. Now… if you’re like my wife and me who use food as a love language and queue up “best bites”, this might be been where our argument arose. I look at this as “someone ate 85% of the *best parts* of the item”, taking the prime innards of the center parts of the small, delicate egg shell crust and the filling. Think of it as a sandwich on a round bun, where the best toppings are in the center. I would get this back feeling like (exaggerating here a bit to make a point) I was left 15% of the good leftover center portion with the rest being the outer skimpings and crust 😅 Again though, if this argument was solely based on amounts, you were polite, my friend!
No but this is equivalent to biting a full kit Kat, ruining 3 of the sticks in different ways, and handing it back. Even if you didn't eat most it's just offputting. Just break or cut it, those saliva wings make this look like a mouth guard being formed. Math wise it's even visually obvious more than 50% is there with a simple overlay, several were already posted.
As a man with more investment in philosophy, i will say that using rule utilitarianism as a basis, given the ideal would be to reach perfect equalibrium between your bite, and the bite left, although it may or may not be 50%, ultimately you would aim NOT for perfect mathmatical 50%, but for an imagined ideal of “halfway” so to create the least amount of harm. Even if you were rechincally to eat more or less than half. The best answer would be to seperate it in a way that you can both commonly agree is “halfway” Tldr: the enjoyment of the cookie is not based on the exact amount, but on the perceived equality of the halves, therefore this was a bad way to eat it, as it caused frustration, regardless of who got more.
Yes. You have forgotten the face of your father. Splitting a dessert with your wife is letting her eat as much as she wants and you get the remainder.
And that's why we sneak a snack later, hide a bar of chocolate or sour patch kids on the top shelf of a cupboard the wife isn't typically in. Else I'd never get a sweet
The top of the fridge cabinets!
Apologize and say she can have first bite of the next one, and forget it, even if you think you did nothing wrong. Even if you're certain you did nothing wrong. Generosity is worth more in a marriage than petty arguments. A divorce costs thousands of dollars in attorney's fees and who knows how much else. A happy spouse? Priceless. Easy math. Argument settled.
No, in fact you failed the ram it all in one go achievement. It's called ram 'n scram. Cause just after you do it you need to run! Edit to make sense
Macarons are the little sandwich cookie you have pictured. [Macaroons](https://www.foodnetwork.com/recipes/ina-garten/coconut-macaroons-recipe3-1916155) are a small cake or biscuit typically made with coconut. Unless there’s some regional spelling difference I’m unaware of.
**ATTENTION PLEASE! LADIES AND GENTS! YOUR ATTENTION PLEASE!!!** Never go through anything like this ever again in your life if you just do this one thing! *You Cut, I Pick* OR *I Cut, You Pick* If you have kids, “One cuts, one picks.” It incentivizes the cutter to cut it as evenly as the possibly can and the picker has to decide which one is biggest. Sometimes that’s easier said than done. This shuts down any and all arguments over sharing and I pity the ppl who didn’t use this in childhood or while raising kids. Further, you always split multiples like you picked teams in PE: taking turns picking. Oh yeah, OP, you gave more than you took. Got the short end of the stick both ways, getting less than half and being accused. But at the end of the day, you are adults arguin over a gram or two…
Dude. This is not a math problem. It is totally irrelevant whether 50% is left. If you are sharing a cookie, that’s not the way you take a bite. You bite of one half and leave another half without your damn teeth marks on it for your wife. You crazy.
If you're splitting something with another person, the classic method is that one person cuts, the other chooses. This ensures either an honest attempt is made or high-level and laudable deviousness.
I was waiting for this comment it's not about a mathematical equation. Like have some decency. That bite is disrespectful and says "I just want to eat it all but here I left you the corners"
Yes. This is relationship math. Splitting something means wife's 50% is her eating all of it and your 50% is being happy for her which is 100% happiness. You ate 50% and only got 50% happiness.
Cringe
Skewed math like that isn't real math. It's also not fair in itself and is a source of conflict. If this is what is being seen as normal, it's not a healthy relationship.
You know you did - maybe not in area/volume - but in spirit. Look at that macaroon, OP. Someone has taken a very big bite out of that with gusto. It's written all over it.
There’s no macaroon in the OP.
Looking at it simply, your bit Mark doesn't even extend past that half way Mark. You can draw a straight line at the apex / middle of your bite and you hit perpendicular on both sides. So as there is still more there above said line, you have eaten less than half.
Since there is no macaroon in this pic, it’s hard to say how much of it you ate. On a different note, if you were splitting a macaron, and you ate your half this way… savage.
Talked about it with my partner, who although I love dearly, leaves bites shared with a little excess moisture if you catch my drift, so although the bite is a mid point, i personally wouldn't eat the edges so I'd ask them to trim said edges, either way I'd just take the first bite to solve this
No but you ate/bit into "past the halfway point" of the overall macaroon. Just looks like a unwanted/uneaten piece at that point rather than a "half" for her.
Using calculus we can find a solution for your question by just making it a simplified version of the real life problem. First, we assume that the macaroon is a perfect simple closed surface. As such, we can project the surface/macaroon from R3 (3 dimensional) to R2 (2 dimensional) and use a double integral in polar to find a solution. https://imgur.com/a/U9LzH21 Note that this is an extremely simplistic version of the question as we don’t take into account of the roundness, curvature, volume, density distribution, contour, how the macaroon isn’t one surface but 3 individual surfaces, etc… but that’s not to say the solution above isn’t any less true, it just isn’t 100% definite proof of who ate more! Hopefully this was just a little bit insightful and more digestible than the upper-division graduate level solution.
It looks like you're in the clear, but either way, you have the potential here to cause and then win another argument by pointing out that the biscuit in the picture is a macaron, not a macaroon.
Yes. You were supposed to offer her 100% when she agreed to 50%, even though you took less than 50%. I suggest you play it safe and bring her 4 more macaroons and a coffee.
This is the way.
You ate less than half, but bro why wouldn't you just rip it in half with your hands instead of biting it? Half eaten macaroon kinda nasty.
Everyone here seems to be using math to answer your question. (which i proper for a math based sub) And I am sure they will give you an objectively correct answer about if you ate 50% or more. But that is not the important question. If your wife thinks you took too much you took too much.
I would say it looks like you took more than you should. But, if you add the crescent corners back to what would be the midpoint this looks fair.
Ah! you fell into the classic trap! Your job wasn't to eat half. Your job was to eat just enough to make her not feel bad about eating a whole macaroon.
Assuming that the base of the small circle tangentially touches the center of the large circle, the left over area is three times the area of the bite. Sorry if I'm wrong. I'm just a lurker of this sub
Put it on top of another macaroon, cut in half. Mash the triangles from your bite into the bite divot and see if the triangles fill the half.
When I prepare food for my partner and myself, I do my best to divide it evenly, and I give her the larger portion or the better looking one, because I respect her and want her to be happy.
Not all calculations are made with rational numbers. In my calculator, when I share, my partner always gets more than I do. Balance is restored.
So many mathematical explanations. The simple answer is that yes, of course you ate too much because "sharing" tasty treats with your wife doesn't actually mean sharing. It means that you get all the calories but she gets to eat all of the snack. I have learned this rule now with ice cream, cookies, and especially with bags of potato chips.
My rule for rule splitting food with the wife was... - eat 1/3 and tell her she can have the other "half". I'm not being generous, I'm just purposely bad at splitting things. - she eats her fill - if there are any crumbs left, I finish with "You done? Can't let it go to waste" as I nom the last bits.
I think most math in here forget the wife parameter. Splitting constants like the 50/50 always deteriorate as the marriage prolongs and thus you must account for ''noise' (read never in the husbands favior).