## The Art of the Ellipse

This is a cool article (the first in a series about drawing, I believe) about how important the **ellipse** is to the artist.

http://opinionator.blogs.nytimes.com/2010/09/23/the-frisbee-of-art/

The author gives a nice, if long, explanation about the significance of the ellipse, but it basically boils down to this: **circles are everywhere. **And often, when we are looking at circles, we’re looking at them atilt. We see **projections** of the circle, and **projections of circles are ellipses**.

Think of it this way: suppose you have a hula hoop and you hold it parallel to the ground. The shadow you see is **circular**, but if you tilt the hula hoop, the shadow will change–into an ellipse. I don’t have a hula hoop, so I made do with a spare key ring:

As the circular key ring is rotated, it becomes less parallel to the ground; the shadow becomes less **circular** and more **elliptical**. And at the end, the ellipse vanishes–an ellipse eclipse!

*Click here to see more in Geometry.*

I believe I did a project on this for Math Analysis- a group project on ellipses with Geometer’s Sketchpad/Geogebra. Good times, good times.

If you look at the circle as a sphere, then you can always take a cross-section that resembles an ellipse. This can also expand to when looking at a latitude/longitude system based on the sphere. They all resemble ellipses at one point.

The cone and the ellipse can be seen in Autodesk inventor, for example, when creating the cone and then slicing the graphics to reveal the ellipse shape.