Perspective
    ( )

    • Contrast in depths
    • Ancient Perspective
    • Medieval Perspective
    • Brunelleschi and Durer
    • A few results of our "Taping Experiment", other things to do with painter's tape, etc
    • 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
    • The Perspective Theorem, and the results of using it to convert the 3D coordinate points of a classroom into 2D perspective images, and plotting the new 2D points
    • Using Excel to help with the perspective theorem
    • Drawing the perspective image of a cube
    • 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
    • Summary of why the perspective images of all lines orthogonal to the picture plane intersect, and also vanish, at the origin -- the point directly opposite the intended viewer's eye.
    • 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
    • More to ponder - what about lines that are neither parallel nor orthogonal to the picture plane?
    • 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
    • Practicing Subdividing Rectangles
    • Practicing Duplicating Adjacent Rectangles
    • Developing more perspective techniques
    • Anamorphic Art
    • Examples of pavement anamorphic art
    • Anamorphic sculptures
    • Video of Anamorphic Art
    • Examples of a variety of types of anamorphic art, including using cylindrical and conical mirrors.
    • The spread of perspective (Donatello)
    • The spread of perspective (Masaccio)
    • The spread of perspective (Mantegna)
    • The spread of perspective (Piero della Francesca)

    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