No cones can not tessellate.
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Yes * * * * * No. A star will not tessellate.
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
No, it can't be tessellate.
No not all shapes tessellate.
Yes it does tessellate. * * * * * That is simply not true. No polygon with 7 or more sides will tessellate with identical shapes.