As is common in Islamic art and arc

As is common in Islamic art and architecture, geometries stemming principally from equilateral squares and the rectangular formations produced by the rotation of a radius from the base of the bisecting hypotenuse are commonplace, forming the basis of most of the Alhambra's construction in both plan and elevation.
The two-dimensional ornament, particularly evident in the tile work, exemplifies this same fascination with geometries stemming principally from equilateral squares forming
eight-pointed stars. The complexity of Islamic geometry in ornamentation is particularly evident in the ceiling of the Throne Room
in the Comares Palace, in which all 17 mathematically possible tessellation groups for the mirroring of its patterned ornament are evident. It is worth noting that the full consideration of all 17 possible groups was. not expressed mathematically until the 20th century.