The mosaics of the Alhambra The Alhambra in Granada, Spain, is the name of the royal residence of the Nasrid dynasty, surrounded by trees and gardens. Construction began in 1238 and the entire complex was completed in the second half of the 14th century. In many of its rooms are mosaics of extraordinary beauty. In the mosaics and lattices of the Alhambra, the seventeen possible ways to tessellate the plane appear. What is really important is that the Arabs discovered this before the thirteenth century and no other complete sample of these possible is known tessellations until the 20th century. One of the most important geometers of the 20th century, the Englishman H. S. M. Coxeter, who since 1936 worked on the University of Toronto (Canada), when visiting the Alhambra he was fascinated and about the mosaics he said what next: "The art of filling the plane by repetition of a motif reached its zenith in 13th century Spain, the period in which the Arabs used all kinds of displacements in their intricate decoration of the Alhambra. His taste for abstract and geometric motifs was due to the strict observance of the second commandment of their religion that says that you will not record any image [...] ". Many mosaics in the Alhambra are built with the so-called "Nasrid polygons": the bone, the bow tie, the petal and spindle. These polygons are obtained from the square, the equilateral triangle and the rhombus, using the principle of conservation of the surface, but not of the shape. 

The drawing is a Nasrid bow tie, with which the exercise will be solved

1. What transformation was applied to the equilateral triangle to obtain this Nasrid polygon? a) Arc rotation b) Rotation of a semicircle c) Translation of an arc d) Translation of a semicircle Make the lines and show the necessary movements that must be made to achieve it.