History Main / SquareCubeLaw

20th Jul '16 4:09:13 AM harlbior
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* The giants in ''Series/GameOfThrones'' are an aversion. They are twice the height of a regular humans, and compensate for the increase in weight, their legs are disproportionately long and thick and they appear to move slowly, with more inertia. This effect was realized by a combination of tall actors outfitted with prosthetics and overcranking.

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* The giants in ''Series/GameOfThrones'' are an aversion. They are twice the height of a regular humans, and to compensate for the increase in weight, their legs are disproportionately long and thick thick, and they appear to move slowly, with more inertia. slowly. This effect was realized by a combination of tall actors outfitted with prosthetics and overcranking.{{overcrank}}ing.
20th Jul '16 4:04:49 AM harlbior
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* The giants in ''Series/GameOfThrones'' are an aversion. They are twice the height of a regular humans, and compensate for the increase in weight, their legs are disproportionately long and thick and they appear to move slowly, with more inertia. This effect was realized by a combination of tall actors outfitted with prosthetics and overcranking.
19th Jul '16 9:47:58 AM jakobitis
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** The movie version of Ant-Man is at least vaguely aware of this trope. Whilst our hero uses 'Pym Particles' to break this law with impunity, the villain's attempts to recreate the effect on test subjects/victims fail. Messily.
7th Jul '16 3:55:46 PM FordPrefect
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* A very significant example in real life would be the sun itself. Amazingly, the incredible pressures and temperatures in the sun's core are barely enough to ignite any hydrogen fusion at all (relatively). Taking the total power output of the sun and dividing it by its total volume gives a ridiculously low specific power output of 0.28 watts per cubic metre. As 99% of the sun's power is produced in the inner 10% that forms the core, the peak power production due to nuclear fusion is just 276 watts per cubic metre which is about the same as ... ''that of a compost heap, yes''. [[http://faculty.wcas.northwestern.edu/~infocom/The%20Website/birth.html The sheer power output of the sun is actually due to its tremendous size; its sheer mass means even insanely low percentages of hydrogen are translated into around 600 billion tons of hydrogen burnt every second.]] The surface luminance however is another story as it depends only on the surface area. Despite it's low power density, the sun is an incredibly luminous object (~2 '''billion''' cd/sq.m at the surface, a laptop screen is just around 200-300) because of the square cube rule. A quick calculation shows that a brisk runner by comparison generates around 10000 W / cu.m of body volume, therefore a sprinter scaled to sun-size would in theory generate 50000 times more energy than the sun and become one of the most powerful stars in the entire galaxy. However, the body heat generated by all the cells of a sun sized runner at normal biological rates would cause his body surface temperature to reach an incredible '''74000 K, hotter than even the most luminous star'''!

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* A very significant example in real life would be the sun itself. Amazingly, the incredible pressures and temperatures in the sun's core are barely enough to ignite any hydrogen fusion at all (relatively). Taking the total power output of the sun and dividing it by its total volume gives a ridiculously low specific power output of 0.28 watts per cubic metre. As 99% of the sun's power is produced in the inner 10% that forms the core, the peak power production due to nuclear fusion is just 276 watts per cubic metre which is about the same as ... ''that of a compost heap, yes''. [[http://faculty.wcas.northwestern.edu/~infocom/The%20Website/birth.html The sheer power output of the sun is actually due to its tremendous size; its sheer mass means even insanely low percentages of hydrogen are translated into around 600 billion tons of hydrogen burnt every second.]] The surface luminance however is another story as it depends only on the surface area. Despite it's its low power density, the sun is an incredibly luminous object (~2 '''billion''' cd/sq.m at the surface, a laptop screen is just around 200-300) because of the square cube rule. A quick calculation shows that a brisk runner by comparison generates around 10000 W / cu.m of body volume, therefore a sprinter scaled to sun-size would in theory generate 50000 times more energy than the sun and become one of the most powerful stars in the entire galaxy. However, the body heat generated by all the cells of a sun sized runner at normal biological rates would cause his body surface temperature to reach an incredible '''74000 K, hotter than even the most luminous star'''!



** For that matter, even [[http://en.wikipedia.org/wiki/R136a1 the most luminous star ever known still radiates at a measly 53 Watts / cu.m (over it's TOTAL volume) and it's still 7.4 million times more luminous than the sun]].

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** For that matter, even [[http://en.wikipedia.org/wiki/R136a1 the most luminous star ever known still radiates at a measly 53 Watts / cu.m (over it's its TOTAL volume) and it's still 7.4 million times more luminous than the sun]].
7th Jul '16 3:54:42 PM FordPrefect
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** ''Zeta Gundam'' also had the absolutely gigantic Psyco Gundam, which really shouldn't have been able to walk on Earth. This is lampshaded the first time it shows up, with the characters wondering how in the ''hell'' that thing doesn't crush itself under its own weight. The Psyco Gundam in fact needs it's own [[AppliedPhlebotinum Minovsky Drive]] like the White Base to support it's own immense mass.

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** ''Zeta Gundam'' also had the absolutely gigantic Psyco Gundam, which really shouldn't have been able to walk on Earth. This is lampshaded the first time it shows up, with the characters wondering how in the ''hell'' that thing doesn't crush itself under its own weight. The Psyco Gundam in fact needs it's its own [[AppliedPhlebotinum Minovsky Drive]] like the White Base to support it's own immense mass.



* A very significant example in real life would be the sun itself. Amazingly, the incredible pressures and temperatures in the sun's core are barely enough to ignite any hydrogen fusion at all (relatively). Taking the total power output of the sun and dividing it by it's total volume gives a ridiculously low specific power output of 0.28 watts per cubic metre. As 99% of the sun's power is produced in the inner 10% that forms the core, the peak power production due to nuclear fusion is just 276 watts per cubic metre which is about the same as ... ''that of a compost heap, yes''. [[http://faculty.wcas.northwestern.edu/~infocom/The%20Website/birth.html The sheer power output of the sun is actually due to it's tremendous size, it's sheer mass means even insanely low percentages of hydrogen are translated into around 600 billion tons of hydrogen burnt every second.]] The surface luminance however is another story as it depends only on the surface area. Despite it's low power density, the sun is an incredibly luminous object (~2 '''billion''' cd/sq.m at the surface, a laptop screen is just around 200-300) because of the square cube rule. A quick calculation shows that a brisk runner by comparison generates around 10000 W / cu.m of body volume, therefore a sprinter scaled to sun-size would in theory generate 50000 times more energy than the sun and become one of the most powerful stars in the entire galaxy. However, the body heat generated by all the cells of a sun sized runner at normal biological rates would cause his body surface temperature to reach an incredible '''74000 K, hotter than even the most luminous star'''!

to:

* A very significant example in real life would be the sun itself. Amazingly, the incredible pressures and temperatures in the sun's core are barely enough to ignite any hydrogen fusion at all (relatively). Taking the total power output of the sun and dividing it by it's its total volume gives a ridiculously low specific power output of 0.28 watts per cubic metre. As 99% of the sun's power is produced in the inner 10% that forms the core, the peak power production due to nuclear fusion is just 276 watts per cubic metre which is about the same as ... ''that of a compost heap, yes''. [[http://faculty.wcas.northwestern.edu/~infocom/The%20Website/birth.html The sheer power output of the sun is actually due to it's its tremendous size, it's size; its sheer mass means even insanely low percentages of hydrogen are translated into around 600 billion tons of hydrogen burnt every second.]] The surface luminance however is another story as it depends only on the surface area. Despite it's low power density, the sun is an incredibly luminous object (~2 '''billion''' cd/sq.m at the surface, a laptop screen is just around 200-300) because of the square cube rule. A quick calculation shows that a brisk runner by comparison generates around 10000 W / cu.m of body volume, therefore a sprinter scaled to sun-size would in theory generate 50000 times more energy than the sun and become one of the most powerful stars in the entire galaxy. However, the body heat generated by all the cells of a sun sized runner at normal biological rates would cause his body surface temperature to reach an incredible '''74000 K, hotter than even the most luminous star'''!
7th Jul '16 3:50:50 PM FordPrefect
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** Also played somewhat straight in that a creatures lifting capacity does not typically scale directly with the creature's mass. For an 8x mass increase for an extra size category, a creature typically receives a 6x increase in carrying capacity. It gets worse when AWizardDidIt, as spells such as enlarge person increase the creatures weight by the usual eight times, but only increases their carry capacity by approximately 2.6 times.
** There is an artifact in the Book Of Vile Darkness called the Despoiler of Flesh that gives you very flexible control over a creatures shape, it more or less points out that it has to be scientifically plausible or the creature will die because of an unsound anatomy.

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** Also played somewhat straight in that a creatures creature's lifting capacity does not typically scale directly with the creature's mass. For an 8x mass increase for an extra size category, a creature typically receives a 6x increase in carrying capacity. It gets worse when AWizardDidIt, as spells such as enlarge person Enlarge Person increase the creatures creature's weight by the usual eight times, but only increases their carry capacity by approximately 2.6 times.
** There is an artifact in the Book Of Vile Darkness called the Despoiler of Flesh that gives you very flexible control over a creatures creature's shape, it but more or less points out that it has to be scientifically plausible or the creature will die because of an unsound anatomy.
7th Jul '16 3:49:18 PM FordPrefect
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* In ''Creator/Mercedes Lackey's'' Valdemar books, it is stated that Gryphons can only fly because of magic--their wings are too small to lift a body with their mass. They were designed with special organs to gather and channel ambient magical energy, and in an area with little or no such, they can't fly.

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* In ''Creator/Mercedes Lackey's'' ''Creator/MercedesLackey's'' Valdemar books, it is stated that Gryphons can only fly because of magic--their wings are too small to lift a body with their mass. They were designed with special organs to gather and channel ambient magical energy, and in an area with little or no such, they can't fly.
7th Jul '16 3:45:56 PM FordPrefect
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* {{Invoked|Trope}} in ''Film/{{Chappie}}''. The Scout model droids, which the eponymous protagonist is based on, is a human-sized robot which can move and respond faster than the truck-sized [[WalkingTank Moose]] which the BigBad of the film is unsuccessfully trying to press into police service - Scouts are far more suited to close quarter actions and law enforcement. [[spoiler:Also, in the finale, Chappie is not only able to outmaneuver the Moose, but outlast it, as the Moose, despite it's appearance as an unstoppable juggernaut, is actually lightly armoured for its size due to weight concerns - one of the Scout robots Chappie is based on took an ''anti-tank'' rocket to the chest at close range and wasn't getting back up afterwards but only need some repairs to get working again, while the Moose was severely damaged by smaller anti-personnel grenades and ultimately blown apart by a grenade strapped to a combat knife]].

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* {{Invoked|Trope}} in ''Film/{{Chappie}}''. The Scout model droids, which the eponymous protagonist is based on, is a human-sized robot which can move and respond faster than the truck-sized [[WalkingTank Moose]] which the BigBad of the film is unsuccessfully trying to press into police service - Scouts are far more suited to close quarter actions and law enforcement. [[spoiler:Also, in the finale, Chappie is not only able to outmaneuver the Moose, but outlast it, as the Moose, despite it's its appearance as an unstoppable juggernaut, is actually lightly armoured for its size due to weight concerns - one of the Scout robots Chappie is based on took an ''anti-tank'' rocket to the chest at close range and wasn't getting back up afterwards but only need needed some repairs to get working again, while the Moose was severely damaged by smaller anti-personnel grenades and ultimately blown apart by a grenade strapped to a combat knife]].
7th Jul '16 3:45:09 PM FordPrefect
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* The ''Film/StarWars'' movies: The Jedi Starfighter seen in ''Film/AttackOfTheClones'' is very fast and maneuverable, able to evade a homing missile through an asteroid ring. In the original trilogy, the Imperial Star Destroyer, has the same basic triangular shape but is a thousand times it's size and weight. It moves at a slower rate and is much harder to course-correct (as Han Solo demonstrated in ''Film/TheEmpireStrikesBack'').

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* The ''Film/StarWars'' movies: The Jedi Starfighter seen in ''Film/AttackOfTheClones'' is very fast and maneuverable, able to evade a homing missile through an asteroid ring. In the original trilogy, the Imperial Star Destroyer, Destroyer has the same basic triangular shape but is a thousand times it's its size and weight. It moves at a slower rate and is much harder to course-correct (as Han Solo demonstrated in ''Film/TheEmpireStrikesBack'').
2nd Jul '16 8:09:28 PM ThatBitterTase
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* ''TabletopGame/WerewolfTheApocalypse'' fails to take this trope into account with the Garou and other shapeshifting races. A Garou's crinos form height is 150% that of their homid form height, with significantly more mass. Ironically, a Garou's dexterity ''increases'' in crinos form, when it should logically decrease.

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* ''TabletopGame/WerewolfTheApocalypse'' fails to take this trope into account with the Garou and other shapeshifting races. A Garou's crinos form height is 150% that of their homid form height, with significantly more mass. Ironically, a Garou's dexterity ''increases'' in crinos form, when it should logically decrease. [[AWizardDidIt It's because they're part-spirit]], probably.


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** Taken a step further in the ''Arkham Knight'' DLC "Seasons of Infamy". [[spoiler:Croc's condition has mutated even further, and he's now roughly the size of a small Kaiju. However, he can barely move, and has to resort to all fours in order to get anything resembling speed.]]
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