Math CentralQuandaries & Queries


Question from matt, a student:

hi. can you please send me a diagram of how to draw 3 lines in a circle to get 8 sections.
thank you

Hi Matt.

There is no way to do this in any conventional sense.

This might be a trick question though: if the "lines" are not straight lines you can do it, if you consider the area outside the circle to be a section, you can re-interpret things and do it. And if you stretch your imagination and wrap the circles and/or lines onto three dimensions, you could do it (for example, a circular shadow on a varied three-dimensional surface, or shadows of lines crossing that surface).

Stephen La Rocque.

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