in reply to Re: Clockwise or Counter-clockwise
in thread Clockwise or Counter-clockwise

To have a concept of clockwise, there needs to be a circle somewhere. The circle needs a center and a radius. The center needs two points, call them X and Y. Call the radius R. So somehow you need three values, X, Y and R.

+---+---+ +---+---+ | 1 | 2 | | 1 | 4 | +---+---+ +---+---+ | 4 | 3 | | 2 | 3 | +---+---+ +---+---+

No circles, or radii, but most people would recognise the first as being "numbered clockwise from top left" and the second as "numbered anit-clockwise from top left".

Likewise these two sets of points describe the same irregular polyon

my @clockwise = ( [0,3],[3,0],[5,2],[4,3],[3,2],[2,3],[3,4],[2,5] ); my @anticlockwise = ( [2,5],[3,4],[2,3],[3,2],[4,3],[5,2],[3,0],[0,3] +);

which given the limitations of the medium looks something like this.

| /\ |/ / |\ \/\ | \ / | \/ -+------

Examine what is said, not who speaks.

The 7th Rule of perl club is -- pearl clubs are easily damaged. Use a diamond club instead.

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Re: Re: Re: Clockwise or Counter-clockwise
by mojotoad (Monsignor) on Feb 19, 2003 at 18:46 UTC
    There's still a circle in your examples. The center is in the middle, where your squares meet. The radius is arbitrary so long as you can establish a direction around your center.

    My point is that even though the objects of interest might not comprise a circle (they could be scattered marbles, for example), a circle is still used to determine their relative positions -- therefore clockwise/counterclockwise orientations.

    This is a subjective projection of the circle. If you run the same problem while looking up from underneath your grid you will get different answers -- or looking at your grid sideways, for that matter. :)

    Update: Just to clarify a bit. What we're really talking about is angular motion around an axis. A circle is just the projection straight down this axis.

    Matt