BRETT
Hey, Spielberg, you might wanna
take the lens cap off.
This demonstrates an interactive lens system. Download the linked Demonstration, then move any of the blue dots to
control the location, thickness, and
curvature
of the lenses, or the starting point or
angle of
the rays.
CHARLIE
Think of a gum ball machine,
packed with hundreds of gum balls.
And imagine striking it with a
sledgehammer...
In the linked Demonstration, use the trigger to animate the simulated projectile. Change the
initial conditions by varying the
sliders.
CHARLIE
It's the same with this image.
It's being scattered by the forces
of refraction... But using Snell's
Law, a dash of Goos-Haenchen shifts
and a motion-tracking algorithm...
Light travels at different speeds through different materials, causing it to bend according to Snell's law. Here light
is represented by traveling wavefronts coming from a light source above the boundary between two materials.
CHARLIE
From the picture, we can see that
the final water level in the tub
was right about here.
Filling a pool requires a lot of water. This Demonstration gives the
volume of water contained within many pool
types.
LARRY
I did think some of the math was
a little subjective... your random
Apollonian Networks in particular.
CHARLIE
Part of Game Theory is Risk and
Response Analysis.
Often the
probability of an accident is
determined by both the behavior of someone who is not injured by the accident in the legal sense and the behavior of
someone who is injured.
CHARLIE
The model becomes a predictor.
Same way economists predict grain
futures or currency markets.
A representative investor trades a single asset using the simplest possible rule and still generates
complexity. The investor looks back a fixed
number of days to decide whether to buy or sell.
