The new system of plane projection can be described as the remaking of two parallel planes of projection, in such a way that the objects are seen without distortion, with visual angles of up to 180 degrees.

It allows the construction with the dimensions of the objects, in inclined boxes or in vertical position, in any visual angle, without mathematical calculations.

Try to do the following test:

Bring your hand close to your eyes and then slowly move it away until ensuring perfect visual sharpness. You will notice that you need a 17-cm space to have a sharp vision. Therefore, I considered two overlapped images to draw in perspective: one out-of-focus image very close to the eyes and another sharp and well focused image 17cm farther.

According to Pythagoras, the symmetry of the flat surface is a square. Therefore, in my opinion, the horizontal flat surface, the visual field, is simply the result of two overlapped squares 17cm apart from each other.

See in Figure 1 a demonstration of the structure projecting the plane in 1 vanishing point perspective (parallel perspective).

The Quadrilateral Perspective has five types of structure, one for each type of perspective providing images without distortions.