'sorry for the confusion RainerRocks.
when learning this many years ago, i also found it helpful to see it visually, and we set up a demonstration with a light, tape measure, and light meter to learn it . . . sort of what this guy had in mind.
where he gets into trouble however . . . is by attempting to use units of measurement (arbitrary units, inches) instead of using the initial distance from the light source (we'll call it "r") as the unit of measurement. he then compounds the problem by beginning with the light at 0" . . . and the example gets worse after that.
let me try to provide a better example . . .
let's say the light source is 1 unit (inches, centimeters, thumb lengths, whatever) from the top of the plant. we will refer to this distance as "r" . . . . and lets say that this provides "Z" amount of light at the top of the plant.
if you were to double the distance of the light source to the top of the plant (to 2r), then the amount of light at the top of the plant would be Z divided by 2 squared . . . or (Z/2 x 2) or 1/4 the amount of light that we previously had.
to help out, we'll do it again with different numbers . . .
let's say the light source is 15 units (inches, centimeters, thumb lengths, whatever) from the top of the plant. we will refer to this distance as "R" . . . . and lets say that this provides "Y" amount of light at the top of the plant.
if you were to triple the distance of the light source to the top of the plant (to 45 units or 3R), then the amount of light at the top of the plant would be Y divided by 3 squared . . . or (Y/3 x 3) or 1/9 the amount of light that we previously had.
the video example doesn't work because starting with a distance of 0" . . . if you square 0, it's still 0. he just figured out that if he moved it 2" and used the 2" x 2" it got him to the 1/4 that he was looking for. if you were to use units other than inches for those same 2" (as i did in the previous post, mm), and keep everything else the same, you end up with a wildly different answer. that's a hint that somethings fishy.
here's a graphic that visually describes the inverse square law:
Papa