Dense shop, that is, the splicing of plane graphics, is to splice several or dozens of plane graphics with the same shape and size into one piece, without leaving gaps or overlapping. This is the dense shop of plane graphics, also called the mosaic of plane graphics.

As we all know, we should cover the floor when paving it, so that there can be a gap between the floor tiles and the tiles. If the floor tile used is square, and each corner of it is a right angle, then put four squares together, and the four corners of the vertex of an ordinary square are just put together to form a 360-degree fillet.

Each angle of a hexagon is 120 degrees. When three regular hexagons are put together, the sum of the three angles on the vertex of the common hexagon is exactly 360 degrees. Besides squares and rectangles, regular triangles can also be densely laid on the ground. Because every internal angle of a regular triangle is 60 degrees, when six regular triangles are put together, the sum of the degrees of the six angles at the vertices of the common triangle is exactly 360 degrees.

Extended data:

Square dense shop, also called Fang Gezi', is a kind of dense shop of regular polygon on the plane, also called regular mosaic.

It is represented by {4,4} in Shreved symbol, which means that each vertex has four squares.

Conway called him checkerboard.

The internal angle of a square is 90 degrees, and four squares are spliced together to fill a complete 360 degrees. This is one of the three orthographic plans. The other two are regular triangle inlay and regular hexagon inlay.

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