• Contrast in depths
• Ancient Perspective
• Medieval Perspective
• Brunelleschi and Durer
• Another contrast in depths, and some quotes
• Practice plotting in 3d
• Some ideas behind the optical phenomenon of perspective
• Graphics Students' images
• Combining the idea of a perspective machine with the idea of plotting points in 2 and 3 dimensions
• Top and Side Views of picture plane, eye, object
• The Perspective Theorem
• Drawing the perspective image of a square
• What that square looks like
• Drawing the perspective image of a cube
• What the cube looks like
• Something to ponder-orthogonal lines
• What our pondering leads to
• Next - our first conclusion!
• Next - perspective images of lines parallel to the picture plane
• More to ponder - what about lines that are neither parallel nor orthogonal to the picture plane?
• Our conclusions about such lines
• A summary of our results regarding vanishing points, so far.
• The specific case where the line is "flat"
• The specific case where line lies parallel to the "side wall"
• Vanishing point for parallel lines
• More on vanishing points
• An example of extensive use of rigorous perspective
• Finding the correct viewing position, step 1
• Finding the correct viewing position, step 2
• Why does this process work?
• Summary of In Class Work
• Rules of Perspective
• Next-using the rules of perspective to draw a cube
• Subdividing and Duplicating rectangles
• The spread of perspective (Donatello)
• The spread of perspective (Masaccio)
• The spread of perspective (Mantegna)
• The spread of perspective (Piero della Francesca)
• Anamorphic Art

Back to Inclass

Janice Sklensky
Wheaton College
Department of Mathematics and Computer Science
Science Center, Room 101A
Norton, Massachusetts 02766-0930
TEL (508) 286-3973
FAX (508) 285-8278