Everything2
Near Matches
Ignore Exact
Full Text
Everything2

square-cube law

created by drinkypoo

(idea) by drinkypoo (1.5 mon) (print)   ?   (I like it!) Wed Apr 23 2003 at 19:47:27

Strength is proportionate to the square of the linear dimension, but mass is proportionate to the cube of the linear dimension. The surface area of a cube of size x is 6x2, while the volume is x3. Thus, doubling linear dimension will increase surface area by a factor of four and volume by a factor of eight.

This is why making an object larger makes it stronger, but it makes it heavier than it makes it strong. At some point, you reach the point of diminishing returns at which the force needed to support the mass of the object exceeds its tensile strength and the structure collapses under its own weight. This is why the giants of folklore could not have been fifty feet tall, and by the same token, why insects and arachnids generally can only be very small; An exoskeleton can only support so much weight, and it was necessary for life forms to evolve an internal skeleton to grow larger because it distributes weight.


printable version
chaos

tensile strength Nature's Harmonic Simultaneous 4-day Time Cube point of diminishing returns space elevator
PlayStation 2 linear Arachnid skeleton
April 18, 2003 Proportionate Strength Cube
mass dimension exoskeleton Square
evolve insect radio controlled Cameron Frye
unobtanium sugar cube
Y'know, if you log in, you can write something here, or contact authors directly on the site. Create a New User if you don't already have an account.
  Epicenter
Login
Password

password reminder
register

Everything2 Help

Cool Staff Picks
Little presents from the Node Fairy:
Brought down as White, kept down as Black, brought up as None, left with me
The siege at Wounded Knee
Twenty-three good things about pickles and dirt
Sembazuru
negative space
Every beauty is a tragedy waiting to happen
Diane Arbus
Cloak and Dagger
Thirty Years' War
kanji
The Second Coming of Christ already happened
Love and Theft
Spontaneous human combustion
New Writeups
Ysardo
a brother to a sister(personal)
antigravpussy
your warm whispers(personal)
Clarke
Multiculturalism(idea)
aneurin
Earl of Landaff(person)
Heitah
Pseudocide(idea)
XWiz
Google Knol(lede)
Mythi
July 24, 2008(personal)
locke baron
The fall of Earth(fiction)
BookReader
Fear the Cold(dream)
Pavlovna
Kathleen MacInnes(person)
stainedglass
1(fiction)
kalen
Three "T"s(idea)
octillion369
Undead(idea)
archiewood
Ico(fiction)
Heisenberg
Why I love Everything2(log)
Everything 2 is brought to you by the letter C and The Everything Development Company