Dense shop is a concept in mathematics, which refers to the process of arranging points on a general surface or curve on a plane grid according to certain rules. In this process, it is necessary to ensure that the distance between points is as equal as possible, and the characteristics of the original surface or curve can be maintained. Dense shops are often used in cartography, collage art and other fields.

Dense paving technology is also widely used in mathematical research, such as simplifying a complex surface into a grid composed of repeated parts with similar geometric figures, thus improving the calculation accuracy and efficiency. In addition, dense paving technology is also applied to 3D modeling, image processing and other fields, which is helpful to realize fast and accurate 3D rendering.

Dense shop is not only a mathematical means, but also has certain aesthetic value. In the field of art design, dense shops are often used in the design of decorative patterns and patterns. Especially in the Middle Ages, people in Europe liked to decorate buildings and works of art with dense patterns. The application of dense paving in patterns can not only express the pursuit of geometric forms, but also show human appreciation of symmetry, repetition and rules.