What Happened Sandra-model

ART AND GEOMETRY

Science and art are two activities that we usually think never intersect, due largely to a trend today day break in most aspects of life in "Science" or "letters".

But there is no science without lyrics, and vice versa. It po r Thus, if we look closely at works of art, we see that are composed of infinite geometric elements, both simple shapes such as methods and systems of representation.

Defining the conical perspective scientific mind, we say q ue is a graphical method of representation through which we can translate in a plane h orizontal the projection of a three-dimensional body with straight lines that intersect at one point, thus obtaining a rough picture of what would the human eye at a distance from the object.

In the picture above you can see a cube of edge x drawn in perspective frontal cone. The side of the cube that is facing the viewer has d ibujado in size (although it could also be applied on any scale, if necessary.) To prepare the drawing is necessary to know certain information, such as the position of the points D (which allows us to find the depth) and F (vanishing point). Here we have a single vanishing point, but when it purports to represent an image with oblique perspective, it is necessary a second vanishing point F ', for directions. The horizontal gray lines represent the ground line and horizon line, whose position depends largely on the outcome or etting.

To relate this method to the actual drawing, attached the following and you sq UEMA , which shows ta nt elements that are part of the design co mo e LEMENTS external.

Now however, let's talk about the same from an artistic point of view.

Back in the fifteenth century a new artistic movement emerged in Europe came close, as far as art is concerned, to classical antiquity, the Renaissance.

was then that the concept d and the perspective gained strength in the paint. A century later (1500-1520) Italian artists such as Raphael, da Vinci and Michelangelo reached the pinnacle as far as artistic and intellectual innovation is concerned.

The main feature of Renaissance painting is precisely what interests us: the use of perspective. But as the saying goes, a picture is worth a thousand words, so here goes:

At first glance, it appears that these two images there is no link, but if we combine ...

is now obvious that the first image was nothing more than a simple outline or sketch of what would become the School of Athens , Rafael

.

We can see horizontal and vertical lines (some of which are highlighted in red and green, respectively) did not deviate and are maintained parallel and perpendicular to each other. But if you look at the depth contours (highlighted in black) we can see as lines that are parallel in reality get closer to converging on a single point, which in this case is approximately the center of the work.

There are many other paintings in which you can see the use conical perspective, that cover centuries, from The ideal city of Piero della Francesca (1470) ...

... until today works as Gran Via, Antonio López García.

Passing by artists like Van Gogh, who skillfully used perspective in his famous Van Gogh's Room (1888), since, although at first it was thought that the apparent deformation of objects around the corner right of the room was due to his mental imbalance, years later, discovered the plans of the room, shown below, justifying the above deformation.