Chieri no Koi wa 8 Meter - Vol. 3 Ch. 27

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Cute~ Thanks as always for the sl, beeg scanss!
 
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Sickly Senpai
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ChieriCookies.pngTime for cookie math!
  • Assume a storebought cookie weighs about 16 grams and is about 80 kcal (food calories).
  • Assume Chieri, if not giant, would be 160 centimeters (average female adult height in Japan is ~156, so rounding up). In her giant form, she's 8 meters, so 8m/1.6m=5, so five times taller than human-scale Chieri.

While length is, well, linear, the size of 3D objects scales differently: their surface area goes up with the square of the growth factor, while their volume and mass go up by the cube (^3) of the difference. Science nerds call this the Square-Cube Law.
So a 5x size cookie might be 5 times longer, but it will weight much more:
(5)^3=125 times the chonk of cookie. Assuming Chieri's cookies are the same density, 16 grams*125=2 kg of cookie.

So wait, shouldn't Chieri need 125 times as much food as a non-giant teenager? Thankfully, there's another principle at play from biology instead of basic physics: Kleiber's Law. Essentially, as animals get bigger, their bodies get more efficient and their metabolic rates typically slower, at a rate proportional to roughly 3/4 of the mass.
(125 schoolgirls)^(3/4)=37.4 schoolgirls of metabolic rate.
Thus, if she eats at much as 37 non-giant teenagers, while enormous, to her mind she's only eating about a third (37.4/125~=.299) as much food as she'd expect, proportional to her size. She'd get full off of diet-sized meals (from her perspective), but tragically, could now only eat 30% the amount of same-scale cookies.

Yume-chan, however, is stuck with a 10,000 kcal choco-chip cookie. :aquadrink:
 
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So wait, shouldn't Chieri need 125 times as much food as a non-giant teenager? Thankfully, there's another principle at play from biology instead of basic physics: Kleiber's Law. Essentially, as animals get bigger, their bodies get more efficient and their metabolic rates typically slower, at a rate proportional to roughly 3/4 of the mass.
(125 schoolgirls)^(3/4)=37.4 schoolgirls of metabolic rate.
Thus, if she eats at much as 37 non-giant teenagers, while enormous, to her mind she's only eating about a third (37.4/125~=.299) as much food as she'd expect, proportional to her size. She'd get full off of diet-sized meals (from her perspective), but tragically, could now only eat 30% the amount of same-scale cookies.

Yume-chan, however, is stuck with a 10,000 kcal choco-chip cookie. :aquadrink:

I try not to think about Chieri's biology too hard. Thanks to the square-cube law, the ability of a warm-blooded animal to dissipate heat scales 10x slower than the rate that their total thermal energy increases. I watched a TED talk on this exact topic in the past, and Chieri is approaching the limit of mammalian bodies before their own body heat starts cooking the organs closest to their center of mass. And even before getting to that limit, the human brain will suffer damage at the elevated temperatures that her body would be at.

There is also the issue that the cross-sectional area of her bones scales linearly to her mass, thankfully, but the forces exerted on her body from falling or jumping increase in a square relationship to her height, so she would be shattering her bones with the way she jumps around.
 
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I try not to think about Chieri's biology too hard. Thanks to the square-cube law, the ability of a warm-blooded animal to dissipate heat scales 10x slower than the rate that their total thermal energy increases. I watched a TED talk on this exact topic in the past, and Chieri is approaching the limit of mammalian bodies before their own body heat starts cooking the organs closest to their center of mass. And even before getting to that limit, the human brain will suffer damage at the elevated temperatures that her body would be at.

There is also the issue that the cross-sectional area of her bones scales linearly to her mass, thankfully, but the forces exerted on her body from falling or jumping increase in a square relationship to her height, so she would be shattering her bones with the way she jumps around.
Suspension of disbelief
 
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I try not to think about Chieri's biology too hard. Thanks to the square-cube law, the ability of a warm-blooded animal to dissipate heat scales 10x slower than the rate that their total thermal energy increases. I watched a TED talk on this exact topic in the past, and Chieri is approaching the limit of mammalian bodies before their own body heat starts cooking the organs closest to their center of mass. And even before getting to that limit, the human brain will suffer damage at the elevated temperatures that her body would be at.

There is also the issue that the cross-sectional area of her bones scales linearly to her mass, thankfully, but the forces exerted on her body from falling or jumping increase in a square relationship to her height, so she would be shattering her bones with the way she jumps around.
Thankfully the high-surface area layout of humans and our inordinate high number of sweat glands would likely alleviate the heat problems; as well, with size, you can lower your homeostatic "target" temperature and metabolic rate because of inherent gigantothermy. Body temperature can also vary independent of size: most birds have an internal temperature that would be a fatal fever to humans, while opossum's bodies are so cold it makes them near-immune to rabies. Appropriate optimization means elephants and giraffes don't bake their own insides to a crisp because of their size, but a mammal the size of Godzilla or kaiju-scale King Kong definitely would regardless.

The second issue however, is indeed the larger problem. Without whatever Applied Phlebotinum that made her giant, Chieri would need much thicker, and proportionally shorter limbs (especially legs) and would look somewhat alien to avoid the complications of stretching a human out to 8 meters under 1g of gravity. And much like an elephant, a horrifying-realistic giant human might be physically incapable of jumping.
 
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I try not to think about Chieri's biology too hard. Thanks to the square-cube law, the ability of a warm-blooded animal to dissipate heat scales 10x slower than the rate that their total thermal energy increases. I watched a TED talk on this exact topic in the past, and Chieri is approaching the limit of mammalian bodies before their own body heat starts cooking the organs closest to their center of mass. And even before getting to that limit, the human brain will suffer damage at the elevated temperatures that her body would be at.

There is also the issue that the cross-sectional area of her bones scales linearly to her mass, thankfully, but the forces exerted on her body from falling or jumping increase in a square relationship to her height, so she would be shattering her bones with the way she jumps around.
another thing to not think about:
her voice would be so deep as to be inaudible
 

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