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Cover of Flatland: A Romance of Many Dimensions

Grade 8 Math Book · Shapes & Geometry

Flatland: A Romance of Many Dimensions

by Edwin A. Abbott

A. Square lives in Flatland, a world with only length and width. When a mysterious Sphere visits from Spaceland, he has to imagine a third dimension he can't see.

Why it's useful

A classic that stretches students' thinking about dimensions and geometry.

  • Dimensions. Points, lines, planes and space become easier to picture.
  • Cross-sections. A sphere passing through Flatland looks like a growing and shrinking circle.
  • Big questions. Could there be a fourth dimension?

Try it in class or at home

  1. Cross-sections. Slice clay shapes and draw what Flatlanders would see.
  2. Lineland. Describe what a creature in one dimension could see.
  3. Fourth dimension. Look at a tesseract drawing and discuss.

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