math in films

1. Mathematical Topics: POLYGONS AND POLYHEDRA

2. Connections: Film

I . Introduction that motivates the topic (connections of mathematics and film) and to briefly mention the aspect of film (special effects) that requires the specific mathematics topic you intend to address (objects of Euclidean geometry: polygons and polyhedra). Then lay out the plan for your essay.

II. Setting the context: Objects of Euclidean Geometry: Polygons

Explore Polygons and their properties in Plane Euclidean geometry:

A. Definition of a simple polygon; convex polygon, concave polygon. Examples.

B. Regular Polygons. Examples.

C. How to Determine the Angles of a Regular Polygon. Examples.

III. Making the Connection: The Mathematics of Computer Animation.

Explore the use of geometric objects in computer animation.

IV. Conclusion