Jim Collins shows how ...


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von dp am 28.Maerz 98 um 18:37:12:

> how on earth did you do those snowflakes????

Think about the crystalline structure of a snowflake, radial symmetry on 6
axis and bilateral symmetry along each axis. Convert that into simple math.
6 axis radially smttrical = whatever you do once you have to repeat 5 more
times at equal radial angles. 360 degress/6 or every 60 degrees. Bilateal
symmetry along each axis = each axis is like a man. Draw a line down the
middle and the left side is a mirror of the right. So along each axis
whatever you do has to be repeated along the same axis at the same offset in
the opposite direction.

repeat with axis = 1 to 6
-- one side of an axis
   set the locH of sprite A to (some distance from center)*SIN(axis*60degrees + offsetAngle)
   set the locV of sprite A to (same distance from center)*COS(axis*60degrees + offsetAngle)
-- the other side of the same axis
   set the locH of sprite B to (same distance from center)*SIN(axis*60degrees - offsetAngle)
   set the locV of sprite B to (same distance from center)*COS(axis*60degrees - offsetAngle)
end repeat

radial symmetry on 6 axis, bilateral symmetry along each axis. repeat as
necessary.

..............................................................
Jim Collins, Smoke & Mirrors
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Smoke & Mirrors: http://venuemedia.com/mediaband/collins.html
Polyhedra: http://venuemedia.com/mediaband/collins/vrmlmaker.html
SpyroGraphica: http://venuemedia.com/mediaband/collins/spyrographica.html
Somnambulux: http://venuemedia.com/mediaband/collins/somnambulux.html
SpyroTeknica: http://venuemedia.com/mediaband/collins/spyroballs.html
Jigsaw of the week: http://venuemedia.com/mediaband/collins/jigsaw.html



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