Instructor:Depth and Perspective Exercises Solutions

1. In Cubic Space Division, Escher uses overlap, convergence of parallel lines to vanishing points, lighter colors for distant objects, more detail in near objects.
2. a. b. c.
1. Tower of Babel: Horizon line is well above top of frame, with two vanishing points to left and right. There is a nadir well below the frame.
2. Inside St. Peter's: Horizon line is well above top of frame, with two vanishing points to left and right. There is a nadir well below the frame
3. Other World: Horizon line exactly bisects the frame (where the moon meets the sky). There is one vanishing point in the center of the picture, which serves as a single point perspective for the walls, a zenith for the bottom, and a nadir for the top.
3. Both use the telegraph wire effect to create a vanishing point that is both zenith and nadir.
1. Uprighters can use either the lower right or lower left staircase.
2. Left-leaner with basket just came down the stairs in lower left corner. Left-leaners can also use the stairs across the top of the picture, descending as they move left to right.
3. Right-leaners can use the stairs in lower right - a waiter with wine bottle is descending from the lunch table to an open door that might lead to the kitchen. Right-leaners can also use the stairs across the top of the picture, ascending as they move left to right.
4. See instructions in Depth and Perspective#Impossible Figures.
5. Two impossible tribars.
6. The left-right ribbon clearly has its lower strip in front, according to overlaps on the left side of the picture, however it has its upper strip in front according to overlaps on the right side of the figure. The up-down strip is similarly conflicted. Bumps on the strips are clearly convex, as seen around the edge of the frame, but cannot be continued consistently through the middle. Also, the overlaps of the ribbon with the bars of the cube are inconsistent. Following the ribbon loop which is longer vertically, bottom overlaps suggest the left side is in front while the top overlap suggests the right side is in front. The horizontally oriented loop is similarly conflicted.
7. Cut with a vertical line down the middle. The left trumpeter would land on the roof right below his window. The right trumpeter would plummet off of the bottom of the print - there is nothing below him.
8. Cut Belvedere in half with a horizontal line through the middle of the picture.
9. Skoglund's hangers confuse the depth of the scene.
10. Guercino, Magritte and Escher often have pictures of paintings in their art.
11. Both Three Spheres II and Rockwell's painting show the artist in the process of making the self-portrait, with the actual self-portrait shown as part of the image.