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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.

352

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.

410

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).

10

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.

319

IsHildaThere t1_itkcf42 wrote

You mean there are professional eaters?

8

st3pn_ t1_itkfbbk wrote

Crazy how its pretty much a perfect log

76

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

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)

23

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.

30

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...

26

blarghable t1_itktv9q wrote

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

22

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

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.

86

fc40 t1_itkwmwp wrote

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

45

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

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.

37

_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

104

Dangelouss t1_itl0cg8 wrote

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

7

mtrash t1_itl11m1 wrote

Man wheres Beard Meats Food when you need him

3

ConsiderationIll374 t1_itl120c wrote

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

9

AV8R_1951 t1_itl189g wrote

At least it was for a noble cause - pizza.

3

FratStafford007 t1_itl2xh6 wrote

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

2

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

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

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

Koldoris t1_itla0hm wrote

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

18

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.

11

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

Kip167 t1_itlbvo4 wrote

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

4

MontagoDK t1_itldowx wrote

What is 1 meter of pizza ?

How is it measured ?

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

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

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

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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

_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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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.

9

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

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

fluiddout t1_itllqk7 wrote

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

2

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

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

trekker255 t1_itlz29n wrote

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

1

zKarp t1_itmd166 wrote

I see the issue, you stopped eating.

2

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

Nas1Lemak t1_itngz02 wrote

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

2

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

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

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_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

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

sinzx2 t1_itocesp wrote

Thought this was a lag curve for a bailey card

1

tiduz1492 t1_itol02j wrote

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

2

ConsciousStill t1_itovaiw wrote

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

1