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How to determine whether two polygons can be mosaic?
Junior high school mathematics generally only discusses the mosaic of regular polygons, including triangles and quadrilaterals, if any.

Therefore, according to the inquiry of the eighth grade junior high school mathematics textbook about mosaic, if two polygons can be mosaic,

The sum of the internal angles of these two polygons must reach 360 degrees, which is a fillet.

You can understand that if this condition is met, it is equivalent to synthesizing a circle with no gap in the middle.

In this way, a mosaic pattern is formed. For example, three hexagons can be inlaid together, four squares can be inlaid together, and two hexagons and two triangles can also form a mosaic.

Note that the hexagon and triangle mentioned here are regular polygons.