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Effective_Hope_3071 t1_itk962m wrote

I think you just plotted marginal utility and the law of diminishing returns lol. The Pizza Logarithm theory seems to hold true.

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Tambury OP t1_itk3jb6 wrote

Edit: here's a picture of pizza https://i.redd.it/v5bgqgkzzqv91.jpg

A friend of mine recently attempted a pizza-eating challenge at a local Italian restaurant. The store sells rectangular pizza that is 200mm (8in) wide, and is sold in linear increments of 250mm (10in) or 6 slices.

The store has a challenge of eating a 1 metre (39in) length of pizza - 24 slices.

  • If the pizza is consumed in under 45 minutes, the victor wins a t-shirt.
  • If the pizza could be eaten in under 30 minutes, the pizza would also be free.
  • The owner was feeling particularly generous (or confident) that day, and also offered a $100 cash prize for the 30 minute target.

The data was collected by recording the time measured by a restaurant-supplied stopwatch after each of the 24 pizza slices was fully consumed. Elapsed time was recorded in a spreadsheet app on a smartphone. The graph was plotted using Matplotlib in a Python Notebook. Energy contained within the pizza was approximated by back-calculating the nutritional information of a similarly topped fast-food pizza into a unit rate of energy per area, and then applying that to the area of the pizza.

After 14.5 slices, he admitted defeat and called it.

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ASK_IF_IM_PENGUIN t1_itk53r3 wrote

Did your friend do any kind of preparation for this at all?

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Tambury OP t1_itk59wi wrote

He skipped lunch, but that's about all. What he brought to the party was misplaced confidence!

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Toncent t1_itkvo52 wrote

I think that skipping lunch might actually be a mistake because it makes your stomach shrink since it's empty - not that it would have made a difference here. As far as i know competitive eaters sometimes prepare for contests by chugging a bunch of water to expand the stomach beforehand.

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_incredigirl_ t1_itl04y3 wrote

Yup! I am a person who looovvvves food but has a frustratingly small appetite. When I went to Vegas for the first time I did research beforehand on how to eat more food at the buffet lol. I spent about a week gearing up for it by eating many grazing meals through the day trying to train my stomach to expand. It was a lot of work just to ensure I got my best value at the buffet. 10/10 would do it again though

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pxan t1_itlaofm wrote

Did you feel it helped substantially after all that work? Or was it more or less normal?

18

_incredigirl_ t1_itlgca9 wrote

It absolutely helped. I managed to clear four platefuls and 8 beers. At home I’m a one-meal-a-day gal.

Edit: the beers were those half sized plastic glasses and they were piss cheap American beer included in the cost of the buffet. Not buzz-worthy in the slightest.

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Dr-Gooseman t1_itpocpv wrote

Wow, your dedication is impressive. Username checks out

1

Tur_K3y t1_itlia29 wrote

They eat lbs of grapes the night before

3

StereoBucket t1_itkjlcv wrote

I was imagining big round circular pizza, like god intended it to be.

This seems a lot more doable (but tbh I hate rectangular pizzas because it's not always disclosed in some restaurants)

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Seth_Imperator t1_itkuerq wrote

You hate it because it is not always disclosed? Why the hate?

13

StereoBucket t1_itkuifa wrote

Less pizza. If I knew I was getting a worse deal, I might've just skipped on it.

2

Redpandaling t1_itkuxzj wrote

Wouldn't a square pizza actually be more pizza given the same diameter?

14

StereoBucket t1_itkvyh8 wrote

If it were square, but a rectangular pizza can surprise you with any width. I know I was surprised when a 12" was like 8 inch wide. I wasn't too amused.

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TrekForce t1_itnoak2 wrote

12” by 8” makes it approximately the same area as a circular 12” pizza

Edit: added “approximately”. I found a pizza place stating their 12” pizza was 96square inches. And then made my comment. Then i did the math. So either they have rectangular pizza or their 12“ isn’t 12”. Either way I did the math to double check and it’s definitely slightly smaller than a 12” round pizza which has 113.1sq inches.

2

StereoBucket t1_itnp3hd wrote

Round (12 diameter) : (12/2)^2 * pi =~ 113
Rectangle (12x8) : 12 * 8 = 96
It's smaller by about 15%

3

TrekForce t1_itnpahm wrote

Just got my edit in about 30s before your reply… lol

2

StereoBucket t1_itnq3t8 wrote

lol, you also made me calculate again, like did I make an error or something, better check again.

Thinking about it now, 15% less is as if someone stole a whole slice (assuming 8 pizza slices which is pretty common) and then took a bite out of a 2nd slice.

1

matthoback t1_itlh726 wrote

Depends on how they are measuring the "diameter" of the square pizza. If they are measuring the diagonal of the square, it would be a smaller area than a circular pizza of the same diameter.

3

saganakist t1_itkxz8y wrote

Yes. The surface area of a square is d^2. The surface area of a circle is pi/4 times the surface area of that square (so, pi/4×d^2). Pi/4 is roughly 78%, so you would get 22% pizza less.

2

orrocos t1_itl9inb wrote

Mmmm, pizza pi.

2

Tarec88 t1_itnzkpf wrote

What a splendid pie, pizza-pizza pie

Every minute, every second, buy, buy, buy, buy, buy

1

Syrdon t1_itnh1ys wrote

That depends on what measurement you use for the size of the square pizza. Measuring corner to corner gets you a very different number than measuring edge length.

1

Neethis t1_itkvvgx wrote

There's a place near mine that sells an 18" square pizza for £2 less than a 20" round pizza.

1

TrekForce t1_itnotsi wrote

Good deal. The square one is slightly bigger for less money!

1

Kwetla t1_itl30eb wrote

Could you go for something less calorific and filling like Margherita? Or does it have to be that pizza?

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Tambury OP t1_itlflim wrote

Unfortunately it had to be the special of the restaurant.

For those playing at home: Tomato base, cheese, salami, bacon, parmesan and basil pesto

17

Soulfighter56 t1_itlhib8 wrote

Oof the salami + bacon makes that much more difficult. Not that eating a sq meter of pizza isn’t already ridiculous lol

11

wisconsinwookie78 t1_itln6w8 wrote

Unless I misread it, it's not a square meter. The pizza is 200mm wide and 250mm long increments. The competition was to eat four of these sections, which would have been a meter long total but still only 200mm wide.

6

Red__M_M t1_itlapsy wrote

15 seconds of research shows that a simple large pizza from dominos is about 2,000 calories. That makes this challenge equal to 10 pizzas. That seems wrong to me. Thoughts?

Edit: using 2,000 KCalories = 8,000 KJoules, we get 2.5 large dominos pizzas.

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Tambury OP t1_itld665 wrote

You need to convert from kilojoules to calories

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Abbot_of_Cucany t1_itognvw wrote

When nutitionists talk about calories (sometime written as capital-C Calories), they're referring to kilocalories.

2000 food Calories = 2000 kcal ≈ 8000 kJ.

2

Professional_Bike647 t1_itk9na6 wrote

I cannot follow your math here. From your explanation it seems the whole pizza is only 200mm wide. Each "slice" is 250mm long - so to eat "one meter" one would have to eat either 5 slices (to measure by width) or 4 slices (to measure by length).

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Tambury OP t1_itkaq54 wrote

Apologies for the confusion, each 'single serve' of pizza is 250mm long cut 3-by-2 = 6 slices. The metre pizza is effectively 4 of these end-on-end (cooked as 2x500mm lengths due to oven limitations).

Hopefully below picture gives context. https://i.redd.it/v5bgqgkzzqv91.jpg

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MrDankky t1_itkwu14 wrote

Now that looks tasty, at least he saved you some

4

PuddleCrank t1_itl5h0c wrote

Now I understand it, but pizza is almost always defined by area not length. Had you multiplied by the width it would be much clearer how much pizza was consumed.

2

orrocos t1_itl9br0 wrote

The whole pizza is about 0.00004943 acres. His friend consumed 0.00002965 acres of pizza.

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John_Vattic t1_itkac4n wrote

The 250mm increments are actually 6 slices, so each rectangular slice must only be about 4cm wide, 20cm long

4

stubob t1_itlg4jg wrote

8in * 39in = 312 in^(2) of pizza. Converting to a round pizza, that's just about 10in radius (10^(2) * 3.14) = 314 in^(2). So that's one 20 inch diameter pizza in 30 or 40 minutes. How often is the challenge completed? Doesn't seem that impossible.

8

Tambury OP t1_itlh22b wrote

Keep in mind the $100 was thrown in by the boss on the day who had obviously sized up the competitor and taken a punt that he wouldn't make it.

The owner did say that quite a few people actually complete it, but he has made a lot more money out of people attempting the challenge and failing than free pizza given away.

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LongJohnny90 t1_itlrifg wrote

I've eaten an 18" diameter pizza before. I could 100% do this challenge if I prepared a little bit. And I'm not a competitive eater or anything crazy, just a guy who likes to test how much he can eat sometimes.

3

liam_____ t1_itlpf1d wrote

Yeah, that seems way too easy. Seems like just one family size pizza

2

Omnizoom t1_itmn6nv wrote

That’s not that much pizza , I could do that

2

ProfessorFull t1_itmmi9e wrote

Can you share the Code to generate this graph? Maybe dm if you want

1

Tambury OP t1_itnx41u wrote

Here you go! Apologies for the uncommented spaghetti code.

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt

pizzasplit=pd.read_csv(r'D:\Downloads\pizza time splits - Sheet1.csv')

fig, ax = plt.subplots(figsize=(8, 6),dpi=150)

xlim=45.5
ylim=1005

pizzasplit['Elapsed time']=pizzasplit['Elapsed time'].map(lambda x: pd.to_timedelta(x).seconds/60)

plt.scatter(pizzasplit['Elapsed time'],pizzasplit.Millimetres,color='b')
plt.plot(pizzasplit['Elapsed time'],pizzasplit.Millimetres,color='b')
ax.axhline(1000,color='r',xmax=45/xlim)
ax.axhline(604,color='b',xmin=36.91/xlim,xmax=45/xlim)
plt.text(22.5, 1000, '1 metre of pizza', fontsize=12, va='center', ha='center', backgroundcolor='w')
plt.text(37, 620, 'Defeat', fontsize=12, va='baseline', ha='left')

ax.axvline(30,color='g',ymax=1000/ylim)
ax.axvline(45,color='g',ymax=1000/ylim)
plt.text(29.5, 30, 'Time limit for free pizza + $100', fontsize=10, va='bottom', ha='center', rotation=90)
plt.text(44.5, 30, 'Time limit for commemorative t-shirt', fontsize=10, va='bottom', ha='center', rotation=90)

x=np.arange(0, 31, 1)
y=1000*x/30
plt.plot(x,y,color='g',linestyle='dashed',alpha=0.4)

x=np.arange(0, 46, 1)
y=1000*x/45

plt.plot(x,y,color='g',linestyle='dashed',alpha=0.4)

plt.xticks(np.arange(0, 46, step=5))
plt.yticks(np.arange(0, 1001, step=250))
plt.xlim(0,xlim)
plt.ylim(0,ylim)
ax.spines['right'].set_visible(False)
ax.spines['top'].set_visible(False)

ax.grid(linestyle="--", linewidth=0.5, color='.25', alpha=0.3, zorder=-10)

plt.xlabel('Elapsed time (minutes)')
plt.ylabel('Pizza consumed (mm)')

def make_patch_spines_invisible(ax):
    ax.set_frame_on(True)
    ax.patch.set_visible(False)
    for sp in ax.spines.values():
        sp.set_visible(False)

fig.subplots_adjust(right=0.75)

par1 = ax.twinx()
par2 = ax.twinx()

# Offset the right spine of par2.  The ticks and label have already been
# placed on the right by twinx above.
par1.spines["right"].set_position(("axes", 1.02))
par2.spines["right"].set_position(("axes", 1.15))
# Having been created by twinx, par2 has its frame off, so the line of its
# detached spine is invisible.  First, activate the frame but make the patch
# and spines invisible.
make_patch_spines_invisible(par2)
# Second, show the right spine.
par2.spines["right"].set_visible(True)
par1.spines['top'].set_visible(False)

par1.set_ylim(0, (ylim/1000)*max(pizzasplit.Slices))
par2.set_ylim(0, (ylim/1000)*max(pizzasplit.kJ))

par1.set_yticks(np.arange(0, 25, step=4))

par1.set_ylabel("Slices")
par2.set_ylabel("Energy (kJ)")

tkw = dict(size=4, width=1.5)
ax.tick_params(axis='y', **tkw)
par1.tick_params(axis='y', **tkw)
par2.tick_params(axis='y', **tkw)
ax.tick_params(axis='x', **tkw)

plt.tight_layout()

Data input CSV file below

kJ,Millimetres,Slices,Elapsed time
0,0,0,00:00:00
728.5,41.66666667,1,00:01:04
1457,83.33333333,2,00:02:08
2185.5,125,3,00:02:50
2914,166.6666667,4,00:03:38
3642.5,208.3333333,5,00:04:37
4371,250,6,00:05:15
5099.5,291.6666667,7,00:06:04
5828,333.3333333,8,00:07:03
6556.5,375,9,00:08:28
7285,416.6666667,10,00:10:08
8013.5,458.3333333,11,00:12:28
8742,500,12,00:15:41
9470.5,541.6666667,13,00:21:30
10199,583.3333333,14,00:28:52
10563.25,604.1666667,14.5,00:36:55
11656,666.6666667,16,
12384.5,708.3333333,17,
13113,750,18,
13841.5,791.6666667,19,
14570,833.3333333,20,
15298.5,875,21,
16027,916.6666667,22,
16755.5,958.3333333,23,
17484,1000,24,
2

gab_r95 t1_itkadh0 wrote

I thought I was looking at the current-voltage plot of a MOSFET (I'm biased like that)... Your friend reached saturation, but it was very linear in the first minutes.

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Tambury OP t1_itkb0u7 wrote

We were extrapolating as he ate and we were very excited for the first 10 minutes or so but it decayed quickly!

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MaxwelsLilDemon t1_itnqec7 wrote

Kinda looks like a sigmoid curve, it appears in exponential processes that are limited by some finite resource (the size of your friends stomach).

The initial growth is admitedly more linear than exponential.

6

HardCounter t1_ito89nu wrote

I was just going to go with an inverse log with some modifiers, but guess it has a name.

2

fc40 t1_itkwmwp wrote

Reminds me of an idealized stress-strain curve, specifically one for concrete. Thankfully he stopped before he reached rupture strain.

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matthoback t1_itlqswx wrote

> I thought I was looking at the current-voltage plot of a MOSFET (I'm biased like that)...

Pun intended?

9

st3pn_ t1_itkfbbk wrote

Crazy how its pretty much a perfect log

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TheAJGman t1_itlcvhc wrote

A surprising amount of organic related statistics fall under logs and bell curves.

5

o_monkey t1_itkkfpw wrote

As opposed to much of the 'data' on this subreddit this is a beautifully-presented chart showing multiple items of data. Thanks for sharing.

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Tambury OP t1_itkljib wrote

Thanks so much for the kind feedback

5

StructuralStiffness t1_itkormn wrote

Makes you wonder if he would have done any better at a slower pace, or if he would just have reached capacity at the same point anyway...

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see-bees t1_itkzuu7 wrote

Probably would have eaten less if he ate more slowly. There’s signal lag between when your body gets full and when it tells your brain this information. The slower you eat, the less lag there is between consumption and satiety signals to the brain. That’s why a lot of weight loss advise is “drink more water throughout the day” and “drink 20 oz of water 20 minutes before a meal”. It goes in the tank and sits there long enough for you to register it’s there.

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X0AN t1_itnf8go wrote

Nah the trick is to mix with liquid and swallow it all as quickly as you can before your brain tells you to stop eating

2

blarghable t1_itktv9q wrote

OP ate around 3000 calories before giving up. I'd say that's pretty well done.

22

thiney49 t1_itlbpgw wrote

The full pizza is equivalent to about a 20 inch pizza, for us circle people. His 14.5 slices here is closer to about a 15 inch pizza consumed, or about 1.5 store bought frozen pizzas.

5

Koldoris t1_itla0hm wrote

I think "Pizza consumed (mm)" has to be the single best axis label I've seen in my life

18

ConsiderationIll374 t1_itl120c wrote

One of my favorite posts in this sub. Clean and clear. Beautiful and interesting data.

9

IsHildaThere t1_itkcf42 wrote

You mean there are professional eaters?

8

Crazhand t1_itkkkgw wrote

Yes, there’s a professional hotdog eating contest every year for example.

6

matjeh t1_itl42sq wrote

And a few deaths from the hotdog eating contest, too.

1

1-PM t1_itkos5s wrote

yeah

matt stonie and joey chestnut are the most popular

5

wordsfilltheair t1_itl7477 wrote

BeardMeetsFood, KatinaEatsKilos, Randy Santel are 3 youtube channels who make their living doing food challenges

1

Seth_Imperator t1_itku5np wrote

You got us in the first part with 0.5m in 15 mins, second part was harder for sure

7

Dangelouss t1_itl0cg8 wrote

That's a lot of shit to go through for a T shirt.

7

etunar t1_itkgk1w wrote

It doesn’t look that big in the photo but assuming 250mm serving is equal to one average pizza then that’s like 4 pizzas? He did great first 500mm the he hit the wall

4

wex52 t1_itl9wvc wrote

Interestingly, the fact that I have no idea what a mm/meter of pizza means delayed my understanding of almost every other aspect of the graph by about a minute. I’d drop the length axes and change energy to calories.

4

Tambury OP t1_itleyom wrote

Cheers, I appreciate the feedback. It's a difficult concept to convey pizza as a linear unit, especially when most people intuitively think of pizza as an 11-ish inch diameter circle cut into 8 slices. In hindsight, keeping the headline '1 metre of pizza' but using number of slices as the primary axis.

As for energy, I wasn't quite thinking of global appeal when I made it. Kilojoules is standard for energy and is on product labels, though calories is understood. Perhaps I could have added ticks to the other side of the energy axis in Cal at the risk of clutter.

7

wex52 t1_itliard wrote

You know for a split second I wondered if calories weren’t universal. I actually didn’t know it wasn’t. I should have realized that if they were, nobody would suddenly opt for kJ.

3

Kip167 t1_itlbvo4 wrote

This is the best post i've seen on here in ages, thanks op!

4

Tambury OP t1_itlf2p1 wrote

Thanks so much for the kind words!

3

mtrash t1_itl11m1 wrote

Man wheres Beard Meats Food when you need him

3

AV8R_1951 t1_itl189g wrote

At least it was for a noble cause - pizza.

3

heatherbergeron t1_itl4c73 wrote

i bet one of those mukbang streamers who eat 3 dozen eggs and huge pots of ramen could have done it

3

FratStafford007 t1_itl2xh6 wrote

In the competitive eating world, is weed viewed as a performance enhancing drug?

2

MontagoDK t1_itldowx wrote

What is 1 meter of pizza ?

How is it measured ?

2

jimjamiam t1_itlek1k wrote

Same. My only problem with this is the units. Needs to be a mass, volume, or at least an area (we can assume thickness)!

3

fluiddout t1_itllqk7 wrote

Wouldn’t it be better to plot this versus the surface of pizza?

2

zKarp t1_itmd166 wrote

I see the issue, you stopped eating.

2

Nas1Lemak t1_itngz02 wrote

Michaelis–Menten kinetics apparently are not just for enzymes.... should call this person "pizza-ase"

2

tiduz1492 t1_itol02j wrote

Even if you win you are literally gonna gain 5 pounds of fat for a t-shirt.. NOT WORTH

2

warriormonk5 t1_itlet52 wrote

20k kj is roughly 4.7k calories. It's a lot but very doable I think for the right person. This clearly isn't in the United States.

1

trekker255 t1_itlz29n wrote

If the line goes down he would be throwing up..?🤮🤢

1

Tasty-Aside-7514 t1_itmp5gq wrote

20 000 kJ is only 4 780 kcal

EZ

So probably it's the spicyness

1

Junkstar t1_itn6sqz wrote

12 slices in 15 mins is impressive. Suicidal, but impressive.

1

KalTheMandalorian t1_itnlg4n wrote

I watched on YouTube once a competitive eater, eating Happy Meals until he got all the possible Pokémon cards they were doing, as a challenge.

That dude went through like 20 meals from what I recall. How do they do it??

I love food, but become full so fast. Which is to my disappointment, because I usually push the limits and try to eat a bit more even when I'm full.

1

sinzx2 t1_itocesp wrote

Thought this was a lag curve for a bailey card

1

ConsciousStill t1_itovaiw wrote

Jesus fucking Christ. Eating challenges are a horrible concept. They are encouraging something so deeply unhealthy and harmful.

1

[deleted] t1_itl3f9a wrote

[deleted]

−2

CalgaryChris77 t1_itl50gy wrote

> two pizzas

Two pizzas of what size though? You realize two 8 inch pizzas is smaller than a 12 inch. Also definitely depends on how much toppings was on the pizza.

4