There are nine huts arranged in a 3 by 3 square grid. How many samurai can you have if each samurai needs to be able to travel from one hut to all of the other huts without ever crossing another samurais path, though the samurai can visit the same hut another samurai has visited.
let us assume the huts resemble mathematical points, and the paths mathematical lines.
Hm, when can we say that one samurai crossed another one's path?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
if one samurai crosses a spot where another samurai has already been, or is.
If I travel from point a to point b in a, my "path" would be the route I took to get from a to b.