Course Summary 2

 

5. Fractals.

* Self-similar objects.

* Simple fractals: iterate a modifying procedure ad infinitum.

* More complicated fractals: Julia set - associated to certain rotations of points (different angles for different points) followed by a similarity.

(the first two pictures below are scooped from the web)

 
 

 

6. Perspective.

* Rules of (classical) perspective: parallel lines meet at vanishing points on the horizon,lines parallel to the picture stay parallel in the picture,...

* Drawing geometric objects in (classical) perspective

Da Vinci (1450)

De Mey (1983)

 

7. Conical sections and string art.

* Four non-degenerate types of conical sections: circles, ellipses, parabolas and hyperbolas.

* Techniques for drawing conical sections using strings.

 

Part 3.