# Difference between revisions of "Perspective Exploration"

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{{Exploration}} | {{Exploration}} | ||

− | {{time| | + | {{time|45}} |

{{objective|Learn to identify the horizon line and vanishing points in perspective drawings.}} | {{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]]}} | ||

+ | {{printable|[[File:perspective-exploration-printable.pdf]]}} | ||

+ | {{printable|[[File:perspective-exploration-hos.pdf]]}} | ||

+ | {{clear}} | ||

+ | ===Perspective=== | ||

+ | # Find the horizon line and single vanishing point in Leonardo da Vinci's <cite>[[:File:Da-vinci-last-supper-1498.jpg|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. | # 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. |

− | |||

− | |||

− | |||

− | {{handin}} | + | ===Zeniths and Nadirs=== |

+ | When vertical lines converge to a vanishing point above the picture, the point is called a {{define|zenith}}. | ||

+ | When vertical lines converge to a vanishing point below the picture, the point is called a {{define|nadir}}. | ||

+ | |||

+ | <ol start="4"> | ||

+ | <li>Where is the horizon line in [[Inside St. Peter's]]? Find the left and right vanishing points on the horizon. Find the nadir.</li> | ||

+ | <li> Where is the horizon line in [[Tower of Babel]]? Find the left and right vanishing points on the horizon. Find the nadir.</li> | ||

+ | <li>Find the zenith in [[New Year's Greeting Card (Well)]].</li> | ||

+ | </ol> | ||

+ | |||

+ | ===Vanishing Points=== | ||

+ | <ol start="7"> | ||

+ | <li>[[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?</li> | ||

+ | <li>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.</li> | ||

+ | <li>What's going on in [[Up and Down]]?</li> | ||

+ | <li>What's going on in [[Relativity]]? Explain.</li> | ||

+ | </ol> | ||

+ | |||

+ | {{handin|Labeled images and answers to all questions.}} | ||

[[category:Art and Perception Explorations]] | [[category:Art and Perception Explorations]] |

## Latest revision as of 01:02, 2 December 2015

**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.