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Mathematical knowledge in 3D printing process
I recently bought a home 3D printer. As soon as I arrived, I unpacked and debugged the printer. After several hours of tossing, I finally started printing. Looking at the process of 3D printing, I suddenly thought of an idea: integration is a process of increasing dimensions, and differentiation is a process of decreasing dimensions. As for the process of slicing and printing the model, firstly slicing the 3D model is a differential process, cutting the 3D object into thin 2D planes, and then printing is an integral process, which superposes the 2D planes into 3D objects. ?

? Similarly, complex problems in work and life can also be decomposed into simple two-dimensional problems by differential method. Is to reduce the dimension and become simple.

? When solving simple problems after dimension reduction, the integration method is used for synthesis. That is, to upgrade the dimension and finally solve complex problems.

This is also horizontal thinking vs vertical thinking.

Horizontal thinking and vertical thinking are two relatively different concepts.

The lateral thinking method uses the concept of analogy to search for similar things with a topic or keyword as the core. This is a thinking method put forward by the thinking master Edward Duboju. The famous "six thinking hats" is an important practical tool for his lateral thinking.

The principle of longitudinal thinking is to use the concept of upper and lower series to extend upward and downward, focusing on the analytical ability of single-point breakthrough.

In the general method, we can first use the method of lateral thinking to understand the relationship between the whole and the part (macro). Then, in view of the important specific part (micro), the longitudinal thinking method is used for in-depth analysis.