circles and octagon do not tessellate as they overlap each other or leave spaces between them.
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No not all shapes tessellate.
For any polygon, there will be other shapes such that, together, they can tessellate.
Certain arrow shapes will tessellate the plane. See the related links for some images or google: Arrow Tessellation Images
I believe that regular shapes will only tessellate if the sum of their internal angles is a multiple of 180.
Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.