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Proof of Concepts |
06/05/2003 |
Bounce Test
This doesn't look like much but there is a lot behind it.
This demonstrates a calculated reflected trajectory of a point
in motion off of a round surface. I can't recall exactly
the equations I used, but I remember that I used the dot-product
and had four separate cases (one for each quadrant).
Perhaps my calculations can be simplified, but the important
thing is that I was actually able to demonstrate a calculated
trajectory off a circular surface (rather than a "virtual" hard
coded reflection used in Pong and Breakout).
To test the reflection, click and hold anywhere on the screen.
Then, while holding, drag in the direction away from the red
dot. Release to have the yellow/green ball move in the
direction of the red dot. Test the the reflected angles in
all quadrants. Try acute angles, obtuse angles, angles
that start right and go left and vice versa. The
reflections (or perhaps deflections) occur as if the ball is
hitting a flat surface that is tangent to the big yellow
circle's circumference at the point of contact.
Orbits
Though these orbits may look cool, they represent failed attempt
at the true elliptical orbits that planets experience (according
to Keplar's Laws of Planetary Motion). See my
Voodoo Doll Solar System for a
demonstration of correctly calculated elliptical orbits in my
Toys and Games section. However, what I
accidentally discovered were a 2-dimensional simple harmonic
oscillators! Actual scientific applications of such things
include springs and pendulums. Perhaps in the future I may
create a flash grandfather clock, or a virtual spring system.
Oh the possibilities!
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