If you use the same figure, there are three kinds, only regular triangles, squares and regular hexagons can be inlaid with planes, and other regular polygons cannot be inlaid with planes.

There are 17 kinds of regular polygons, as follows:

Use 1 species: (3, 3, 3, 3)(4, 4, 4)(6, 6, 6);

Use two kinds: (4,8,8) (3, 12,12) (3,3,6) (3,3,3,6) (3,3,4,4) (5,5,655.

Use three kinds: (3, 4, 4, 6) (4, 6, 12) (3, 3, 4, 12) (3, 10, 15) (3, 9,/5).

These numbers represent the number of sides of a regular polygon. * * * There are 17 species.

Covering a part of a plane with several types of congruent shapes (shapes that can completely overlap are called congruent shapes) without gap or overlap is called that these types of shapes can embed (cover, pave) the plane. A key point of mosaic is that the sum of angles of each common vertex is 360. The simplest mosaic is to use only one congruent shape to mosaic a plane.