What are points, lines and surfaces in common sense of mathematics?
Point, line and surface are concepts in geometry and basic elements of plane space. Philosophical significance of the point: the point is the origin of the universe, without any volume, and it is squeezed at the "edge" of the universe; Points are the basis of all graphics. Philosophical meaning of line: line is composed of countless points. Philosophical meaning of face: face is made up of countless lines. In the related branches of geometry, topology and mathematics, a point in space is used to describe a special object in a given space, which has something like volume, area, length or other high-dimensional analogues. Points are zero-dimensional objects. As the simplest geometric concept, point is usually the most basic component in geometry, physics, vector graphics and other fields. Points form lines, lines form surfaces, and points are the most basic components in geometry. Generally speaking, points are regarded as zero-dimensional objects, lines as one-dimensional objects and surfaces as two-dimensional objects. Points become lines, and lines become faces. Composition of ordered points: here, the shape, area, position or direction of main points are arranged in a regular form, or the same repetition, or orderly gradual change. Points are often arranged sparsely and densely, which forms the performance requirements of graphics in space. At the same time, rich and orderly dot composition will also produce a delicate sense of space and form a three-dimensional sense. In composition, points form a whole relationship, and their arrangement is combined with the whole space, so the visual tendency of points is line and surface, which is the reasonable composition of points. Linearly speaking, lines have neat geometric lines and freehand brushwork lines. The image itself has no lines, but a line is formed at the turning point of the plane, and the shape is defined by lines, which is what we call contour lines. It is the general expression of the artist's material.