In previous lessons, students saw that isometric drawings were not always what they appeared to be. A Dutch artist, M.C. Escher
(1898-1972), is famous for his use of unusual perspectives to trick the
viewer into seeing "Impossible Figures." In this lesson, students will
examine some isometric drawings that seem to be impossible, and they
will investigate one way Escher used to create these "impossible
Project the following images for the students to see:
As in previous lessons, you may print out the following PDF to create an overhead transparency:
Students should attempt to mentally construct each figure before using the isometric drawing tool.
Now, using the Isometric Drawing Tool , students should build each figure. Next, they should use the View feature
to look at the figure from different perspectives. Students can open
several tools so they can have access to all three drawings.
Now students should try the following:
- Choose one of the three figures.
- Delete a single cube from the picture, and use the View feature to explore the results.
- Recreate the image and delete a different cube. Try this several times with each drawing.
Students can repeat with the other figures and discuss observations
with a partner. Alternatively, students can create "impossible figures"
and ask a partner to repeat this activity.