Lights, Camera, Mathematics

Lights, Camera, Mathematics

Created by Adriane Stoia

Many movie animation techniques are based on mathematics. Characters, backgrounds, and motion are all created using software that combines pixels into geometric shapes which are stored and manipulated using the mathematics of computer graphics.

Software encodes features that are important to the eye, like position, motion, color, and texture, into each pixel. The software uses vectors, matrices, and polygonal approximations to curve surfaces to determine the shape of each shade of each pixel. Each frame in a computer-generated film has over 2 million pixels and can have over 40 million polygons. The tremendous number of calculations involved makes computers necessary, but without mathematics the computers wouldn't know what to calculate. Said one animator,"...Its all controlled by math... all those little X,Y's, and Z's that you had in school-oh my gosh, suddenly they all apply."

1. Harry Potter and the Sorcerer's Stone- 315.311 million dollars

2. Lord of the Rings- 291.149 million dollars

3. Shrek- 267.652 million dollars

4. Monsters, Inc.- 252.558 million dollars

5. Rush Hour 2- 226.138 million dollars

6. The Mummy Returns- 201.950 million dollars

7. Pearl Harbor- 198.474 million dollars

8. Ocean's 11- 182.024 million dollars

9. Jurassic Park lll- 181.166 million dollars

10. Planet of the Apes- 179.996 million dollars

In 2001 Monsters Inc. took in $15.094 million dollars less than Shrek. However, it took in $26.42 million dollars more than Rush Hour 2.

$267.652 > $252.558 < $226.138

this is an example of an inequality

This is an exanple of relating graphs to events

Now go to the 2nd