Perspective Drawing and Projective Geometry Worksheet

    This worksheet goes along with the web Readings and Activities on Perspective Drawing and Projective Geometry.
  1. Place an x on the vanishing point in the picture below and draw a few of the lines converging at the vanishing point that are parallel in the real world represented by this picture.
  2. Given a point (x,y,z) of a real-life object with z > 0, write out the mathematical formulas for the perspective drawing coordinates of x' and y'.

  3. Write out the corresponding Excel formulas for x' and y'.

  4. When you viewed the large drawing of the cube from the optimal viewing place and distance (by following the directions), were you able to see the distortion disappear?

  5. How can the method that we used to determine the optimal viewing distance of the box be adapted to determine the optimal viewing distance of the Interior of Antwerp Cathedral painting? Use detailed descriptions that refer to specific aspects of this painting.

  6. Extra Credit Due by Reading Day Find a real-life painting that was done in one-point perspective and adapt the method to find the viewing distance of this painting. Write up a report on how you did this, giving specific details, and also on what you saw when you used the proper viewing distance for your painting.