The association of two scientific elements led to an innovation in the Exact Perspective Field:

1) Geometric element: The SQUARE - (“the symmetry of the flat space is a square. The right angle is the element of symmetry that divides the plane into four. If the flat space displayed another type of symmetry the theorem would not be real”.)

2) ABOUT THE VISION – Make 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, we consider two overlapped images, one out-of-focus image very close to the eyes and another sharp image 17-cm farther.

The horizontal plane upon which we move ourselves results from the remaking of two parallel projection planes.

The Quadrilateral Perspective developed under this new reasoning frees the three-dimensional space on the drawing with NEW BASIC CONCEPT and NEW PLANE REMAKING SYSTEM.

The Quadrilateral Perspective comprises five types of perspective: In the PARALLEL PERSPECTIVE all the drawing lines referring to depth converge towards a single vanishing point. Its space is limited in width (6 meters = 2 squares) and an ample view in the depth reaching the infinity.

This space, this visual field is static. The objects drawn in it present a frontal image. In the OBLIQUE PERSPECTIVE with two opposed lateral points, the drawings present themselves in sharp corner and make the movement within this static space represented by the Parallel Perspective.

The Oblique Perspective horizontal plane is remade inside the Parallel Perspective using the new Quadrilateral Perspective projection system. Together, the two perspectives represent the vision of a single viewer.

The INCLINATIONS of the objects are also performed in the Parallel Perspective. The central vanishing point becomes the axis of the fake horizon line.

The AERIAL PERSPECTIVES present the images as observed from a helicopter. They are drawn in the accommodation range of our vision, between the closest and the remotest point. We should calculate the height where the viewer is located and his distance from the object observed.

The INTEGRATED PERSPECTIVE has a 180-degree spherical image. It is made up of nine cubes: one central and nine peripheral cubes presenting a slight distortion backwards. The viewer should be at a distance of 180 meters and at the same height. It translates the movement that the viewer makes with his head without leaving his place. He looks ahead, to the right and to the left. He raises his head and looks up, to the right and to the left (aerial image seen from below). He lowers his head and looks down, to the right and to the left (aerial image seen top down).

The construction of the Quadrilateral Perspective is made with ruler and squares using the environment and the objects dimensions. Five geometric structures were created, one for each type of perspective.