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SEEING REFLECTIONS

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Finding reflections in the real world is an interesting exercise.  They might not seem obvious right away, but once you start looking for them, you can find them in many places.  I'm going to find a type of reflection that's of interest to me, and offer three different ways to measure or quantify the reflection using mathematical terminology. Where I looked for reflections?  The video game "PONG".  It was created in 1972, and is famous as one of the most basic video games.  It's a simple game, still entertaining to play today -- although it's not quite as exciting as current video game releases.  But it relies on the basic geometry of reflections, as you move your 'paddle' to bounce a ball back and forth.  Only by understanding reflections can you play the game effectively. The first way to measure the reflections in Pong is using the angle.  In the screenshot below, you can see the ball approaching the paddle. The player needs to move the ...
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