There appears to be a problem with the Triangles image. …
So how come the moon is a fractal?
Only insofar as the planets and satellites are fractals is it one. But the craters on the moon are fractals. They are called Pingos.
The surface of the moon is curved. That means that the trajectory of any meteorite hitting it will be from any of a number of angles over 180 degrees.
In other words you can't strike a flat board at an angle of less than zero degrees from it. And you can't strike it at an angle greater than 180 degrees. But you can strike a curved board.
You can hit the moon at over 181 degrees; or drop straight down onto it at 90 degrees.
All of these angles would kick up a groove in the moon's surface all except the perpendicular strikes. And there is only one perp. There are 360 degrees that a meteorite can strike at 89 degrees.
360 that one can hit at 88 degrees. 360 at 87 degrees. There are more than 89 angles x 360 degree angles at which the moon can be hit.
Only one at 90 degrees.
Yet most of the craters look like direct hits on the perpendicular. And here is the best bit:
If you hit the moon at a low angle it will kick up a large groove. If you hit it at an high angle and it hits sand, it will just disappear into the sand. If it hits sand at a tangent it will cut a furrow.
The moon should be covered with furrows, not craters.
The only alternative way for the creation of those craters is the method we see on the earth in cold deserts. The moon is a cold desert.
When frost expands the ground, the soil roils over. It creeps out from the source of the frost. But the residue is an hole that can fill with water and form more frost damage as the water turns to ice.
Eventually the ellipse will be wide and deep. The cause of one is the cause of the others and they should all be about the same age if the water on the moon spreads evenly beneath its surface.
There is good reason to believe there is an huge deposit on the planet as the overall mass is some 3/5ths that of earth. Also it would be in keeping with the knows massive mas disparities on the moon.
This is a fractal of triangles.
It's only to let you see what the real meaning of the term is. The pingos are not self reproducing as for example amoeba are. Nor those triangles.
A more fitting comparison would be a rash. The pingoes are caused by the one original physical motive which is the relationship the moon holds in the astrometry of the three body problem. I will go into "n" body problems in another post but for now all I am talking about is the redistribution of gravitational forces.
You get an illness; that's a first cause. You get spots because of it; that is a symprom. The craters are a symptom. The fractal is the orbit of the moon. My posting the image of the planet in juxtaposition to the moon is another fractal.
The orbits of the imnner planets (of which BTW, the moon is a senior partner. It is the size of Mercury after all -near as dam is to swearing.)