Dimensions - Exploring Flatland

answer section

Question:

What would a fence look like in Flatland? What about a picket fence? (The picket fence should keep out Flatlanders but allow them to see the flowers inside.)

Answer:

Like a bag, a fence would be formed of a line or several lines, whether curved or straight. A picket fence could be made out of many points with spaces between them or by line segments separated by space. This fence would keep out anything larger than the distance between the points but would let Flatlanders see their garden. Flatlanders would probably prefer line segments to points: points would be very sharp and might cut Flatlanders in two.

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