Geometry+and+art

This activity is for 3º ESO. You will work in six groups of four.  **Francisco José de Goya y Lucientes** (30 March 1746 – 16 April 1828) was a Spanish romantic painter and printmaker regarded both as the last of the Old Masters and the first of the moderns. Goya was a court painter to the Spanish Crown, and through his works was both a commentator on and chronicler of his era. The subversive and imaginative element in his art, as well as his bold handling of paint, provided a model for the work of later generations of artists, notably Manet, Picasso and Francis Bacon.  You are going to use the Dynamic Geometry software GeoGebra in order to analyse the works of Goya. This kind of software has the ability to examine guidelines, symmetries and proportions, there is also the possibility to study an image placed on the drawing screen, to mark lines and polygons, to draw parallel and perpendicular lines and to measure and transform. This process allows the connection of two knowledge areas that have come together many times in the history: art and mathematics. This connection can also be operated by students. Quoted from Alberto Durero: “mathematics, the most accurately, logically and graphically constructive science, should be an important ingredient of art” (Adapted from José Antonio Mora Sánchez. I.E.S. Sant Blai de Alicante).  Moving the slider you can follow the steps to study "El Quitasol" (1777, Museo del Prado. Madrid). media type="custom" key="11987257" align="center"
 * 1) There are **two main diagonals**. The first one starts on the top left corner, in the wall, continuing through the umbrella, the nose, the hand and ends on the bottom right corner. The second one is formed by the tree, the shoulder and the shirt.
 * 2) Here it is possible to divide the painting into **two equal parts**.
 * 3) From the top of this line you can draw a triangle in which the two main characters are included, revealing the **triangular structure** of this tapestry.
 * 4) There is **another line** from the right hand of the woman to the bottom right corner, defining the skirt and the animal.

 **Now you have to do the same**. We are going to follow three steps. Here you can find more examples: José Antonio Mora Sánchez
 * Learning GeoGebra basic concepts.
 * Choosing and analyzing the painting, including a brief description.
 * Explaining the geometry.