Le 08/05/2012 09:29, Le_Forgeron nous fit lire :
> Le 08/05/2012 03:53, Darren New nous fit lire :
>> Someone also figured out that you can do probability with 1D numbers and
>> 2D numbers, but not any higher dimensions.
> 
> Are you talking about random movement having a non-null (aka about 100%)
> probability of returning to your starting point (sort of) ?
> 
> In 1D (moving along a line), with whatever balanced distribution, it
> seems rather obvious.
> 
> In 2D (moving in a plane), it's less obvious but you will cross your
> previous path at a moment or another.
> 
> but once in 3D, you're lost and would quasi-never cross any points from
> your previous path.

Oh, I forgot also a difference as dimensions are raised:
1D & 2D: you can evaluate the length/surface of any grid-aligned
line/polygon by counting the number of element of the grid inside the
limit. (you need to count twice: one for grid's nodes fully inside, and
another for grid's node also on the perimeter)

That computation fails once in 3D or more!

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