No, a nonagon cannot tessellate the plane. A nonagon is a nine-sided polygon.

Does a decagon tessellate?

A regular decagon does not tessellate. A regular polygon is a two-dimensional shape with straight sides that all have equal length.

What shapes will not tessellate?

Shapes That Do Not Tessellate

Circles or ovals, for example, cannot tessellate. Not only do they not have angles, but you can clearly see that it is impossible to put a series of circles next to each other without a gap. See? Circles cannot tessellate.