Fox 339

A general case of an old one, as promised last week... http://www.8foxes.com/

Fox 280

http://www.8foxes.com/

Fox 279

http://www.8foxes.com/

Fox 199

http://www.8foxes.com/

Fox 198

http://www.8foxes.com/

This is the beginning of a class of foxes with random processes.

The above process is a special form of a random walk on the plane.
We believe that this process is new! If you see something similar in literature, please let us know.

"Uniformly selected" means that every direction has an equal chance of being selected.
In other words: direction ~ Uniform[0, 360].
Point O is the origin. Generation of point A is irrelevant since OA does not change whether there will be a triangle or not at the end of the process.
Also, it is not important but assume that the random directions are generated clock wise.
The answer has not been confirmed yet, let us know if you find something very different.

Fox 82

Forget the numbers,

see the essense.

Skip the flesh,

find the soul!

Fox 81

Go beyond your numerical mind.
Think simple!

Forget about trigonometry.

Just drawn lines on the sand, like Euclid!

Fox 155