Almost a Circle Tessellation

Geometry Level 1

It is well known that circles cannot tile the plane completely with no gaps or overlap.

Can the pink image on the right cover the plane completely with no gaps or overlap? All of the arcs have a central angle of 6 0 60 ^ \circ .

Yes it can No it cannot

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1 solution

Michael Mendrin
Aug 14, 2016

The corners of the pink thingy are the vertices of a square. It's just an optical illusion that it looks more like a rectangle.

Bah! That fooled me!

Calvin Lin Staff - 4 years, 10 months ago

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