# A Model of Islamic Rectilinear
Interlaced Lattices

## FURTHER EXAMPLES

A diamond section of *ALCAZAR.* Tilework lattice. Inner wall of the Patio of Alcázar
in Seville. The borders, colours and scales are introduced by PUERTRA. Simple 8-lattice with distances in 1-
1.4142.. proportion.

A
Star-shaped section of *ALCAZAR.* Tilework lattices. Inner wall of the Patio of Alcázar in Seville. The
borders, colours and scales are introduced by PUERTRA. Lattice of 8.

A
detail of the star-shaped section, showing colours, intersection covering, textures and line frames as found in
actual *artesonados*.

An extrapolation of the design on a door, in Konya Museum. Simple 10-lattice with distances
in golden proportion ( 1-1.618...)

A detail of the above

Stucco Lattice, from the Alcazaba (Moorish castle) in Málaga (Spain). As a picture on the
wall of the Museum. Three lattices: the first, which defines always the EG, a 4-lattice. In this case the EG is a
square, in the first quadrant. The second, a 8-lattice, with the same centre. The third, a 7-lattice, with its centre
in the centre of this square. Only one distance for this lattice.

A stucco lattice, covering the door vall of the Aksaray Sultan Hani, in Konya, (Turkey).

An analysis of this lattice using PUETRA

Decomposition of the lattice in four lattices: first, a 8-lattice to define the EG, an
equilateral rectangle; second, a 16-lattice with the same centre; third a 12-one, with its centre on the horizontal
axis extremum; four, a 10-lattice, with its centre on first quadrant the bisectrix, with one of its streets (pairs of
parallel frames around the centre) almost coincident with one of the 12-lattice. This almost coincidence has
been called enharmony or metabolê in former paragraphs.

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References

15-November-95
A Model of Islamic Lattices.2.