• A few results of our "Taping Experiment", other things to do with painter's tape, etc
• Contrast in depths
• Ancient Perspective
• Medieval Perspective
• Brunelleschi and Durer
• Practice plotting in 3d
• Another contrast in depths, and some quotes
• 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, and the results of using it to convert the 3D coordinate points of the classroom we collected into 2D perspective images, and plotting the new 2D points
• Using Excel to help with the perspective theorem
• What the cube looks like
• Something to ponder-orthogonal lines
• What our pondering leads to
• Our first conclusion!
• Summary of What We Know So Far, Along with Some Images in One-Point, Two-Point, and Three-Point Perspective
• Perspective images of lines parallel to the picture plane
• More on perspective images of lines parallel to the picture plane
• Vanishing point for orthogonal lines
• Perspective Images for Lines Which are Neither Parallel to nor Orthogonal to the Picture Plane
• Vanishing points for lines which are neither parallel nor orthogonal to the picture plane
• 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"
• Summary: vanishing points and horizon lines
• An example of extensive use of rigorous perspective
• Finding the correct viewing position
• Why does this process work?
• Summary of In Class Work
• Practicing Finding the Correct Viewing Position In Person.
• Rules of Perspective
• Next-using the rules of perspective to draw a cube
• Subdividing and Duplicating rectangles
• Developing more perspective techniques
• Anamorphic Art
• Examples of pavement anamorphic art
• Examples of a variety of types of anamorphic art, including using cylindrical and conical mirrors.
• Fun Fact - Intro to Six Point Perspective
• Six Point Perspective and Termespheres

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