Fractal curve generated by three similarity transformations. Real world scenes are outlined with masking tape on windows and digitally photographed for later analysis, reproducing classic Renaissance investigations.
Appropriate mathematics is introduced to describe the window experiments.
Using the new mathematics and an ordinary spreadsheet program, true perspective drawings are made with scatter plots and traditional or spreadsheet drawing tools. Phenomena observed in window experiments and spreadsheet drawings are validated as theorems on vanishing points, vanishing lines, rendering of regularly spaced objects, and various other drawing techniques valuable to the artist. Pencil drawings are executed using the new theorems. A professional artist visits the class to show and discuss her work, which includes solutions of more advanced perspective problems. Also, students analyze photographs of the classroom building to determine the approximate location of the camera.