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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper
10
votes
Accepted
Decomposing the plane into intervals
Conway and Croft show it can be done for closed intervals and cannot
be done for open intervals in the paper:
Covering a sphere with congruent great-circle arcs.
Proc. Cambridge Philos. Soc. 60, 1964, …