Inverse Square Law

(Source: Hyperphysics website)

Any point source which spreads its influence equally in all directions without a limit to its range will obey the inverse square law. This comes from strictly geometrical considerations. The intensity of the influence at any given radius r is the source strength divided by the area of the sphere. Being strictly geometric in its origin, the inverse square law applies to diverse phenomena. Point sources of gravitational force, electric field, light, sound or radiation obey the inverse square law. It is a subject of continuing debate with a source such as a skunk on top of a flag pole; will it's smell drop off according to the inverse square law?

This graph represents the drop of sound intensity according to the inverse square law. In this case, the inverse square law shows the rapid loss of sound intensity

The application of the inverse square law is always associated with a loss of intensity The same intensity drop can be found in several kinds of 3d distribution: Gravity, Electric field, Light, Sound, Radiation

in a 3d spring structure,
tension distribution follows
the same inverse square law intensity drop

Let’s demonstrate, using simulation in a 2d spring structure(below) that if we apply a tension T in the point A we would have in the red, magenta and yellow springs a drop of intensity that follows the inverse law

And deduce that in in 3d spring structure, tensions follow the inverse square law:

In order to show that both tension and delta tension follows the inverse square law, we have used a simulation software "Netlogo"