# Perspective Exploration

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**Objective:**
Learn to identify the horizon line and vanishing points in perspective drawings.

**Materials:**
Printed copies of Inside St. Peter's, Tower of Babel, and House of Stairs

### Perspective

- Find the horizon line and single vanishing point in Leonardo da Vinci's The Last Supper.
- Run the perspective applet at http://mathforum.org/workshops/sum98/participants/sanders/TryPersp.gsp.html and get a feeling for the behavior of a cube in two-point perspective.
- Draw a horizon line, put two vanishing points on it, and draw a few blocks in two-point perspective.

### Zeniths and Nadirs

When vertical lines converge to a vanishing point above the picture, the point is called a **zenith**.
When vertical lines converge to a vanishing point below the picture, the point is called a **nadir**.

- Where is the horizon line in Inside St. Peter's? Find the left and right vanishing points on the horizon. Find the nadir.
- Where is the horizon line in Tower of Babel? Find the left and right vanishing points on the horizon. Find the nadir.
- Find the zenith in New Year's Greeting Card (Well).

### Vanishing Points

- Gallery has a vanishing point at its center. For which parts of the picture is this vanishing point on the horizon? A zenith? A nadir?
- What's going on in House of Stairs? There is a vanishing point in an arched doorway near the top of the picture. Find a curl-up that thinks the point is on the horizon, another that thinks the point is a nadir, and another that thinks the point is a zenith.
- What's going on in Up and Down?
- What's going on in Relativity? Explain.

**Handin:**
Labeled images and answers to all questions.