A Model of Islamic Rectilinear Interlaced Lattices


FURTHER EXAMPLES

Diamond Pattern 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.

Star PatternA 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.

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

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

Konya Doorway Detail A detail of the above

Stucco Lattice 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.

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

Stucco Lattice An analysis of this lattice using PUETRA

Stucco Lattice 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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15-November-95

A Model of Islamic Lattices.2.