Dimensions - Exploring Flatland
Activity Sheet
The Shape of Space Curriculum Materials: Dimensions
Copyright © 1997 by
The Geometry Center All rights reserved.
What would life in Flatland be like?
The Shape of Space has one interpretation of what Flatlanders would look
like. But this is just one possible drawing of some Flatlanders.
Flatlanders have found their way into lots of books,
like An Episode of Flatland, Sphereland,
Planiverse, and Flatland. In Flatland, the main character
is a square who gets sent to prison after his experiences with three
dimensions. He has difficulty imagining three dimensions until an
encounter with Lineland, a one-dimensional world whose inhabitants are
lines.
Be Creative!
In groups, draw yourselves as Flatlanders and write a story about life
in Flatland.
Here are some questions to get you thinking:
Can a flatlander tie a knot?
[ a hint
| an answer ]
How would Flatlanders carry things?
[ a hint
| an answer ]
What would a fence look like in Flatland? What about a picket fence?
(The picket fence should keep out other Flatlanders
but allow them to see the flowers inside.)
[ a hint
| an answer ]
How would Flatlanders play baseball? volleyball? tennis?
What would be the difference between these three games?
[ a hint
| an answer ]
How would a Flatlander eat/digest food?
[ a hint
| an answer ]
Make your own list of questions to explore.