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On the other hand Owen Jones, in The Grammar of Ornament, describes a method whereby this type of interlace ornament is, instead, designed based on a foundation of geometric grids, with the same foundational grids re-drawn to the size of the object. E. H. Hankin, in his book The Drawing of Geometric Patterns in Saracenic Art, takes the view that the artists who created these designs used a method based on the use of the compass and the straight edge. This view is supported by the majority of contemporary authorities on the subject, such as Keith Critchlow in his book, Islamic Patterns: An Analytical and Cosmological Approach. This explains how ornamented objects as varied in size as a book or a mosque, were treated by artists using the same geometric methods adopted to the size and nature of the object being ornamented.
The grace and refinement of Greek ornament is here surpassed. Possessing, equally with the Greeks, an appreciation of pure form, the Moors exceeded them in variety and imagination.
....the intricate interlacings common in later medieval Islamic art, are already prefigured in Umayyad architecture revetments: in floor mosaics, window grilles, stone and stucco carvings and wall paintings(Khirbat al-Mafjar, Qusayr'Amra, Qasr al-Hayr al-Gharbi etc.), and in the decoration of a whole group of early east Iranian, eighth- to tenth-century metal objects.
Geometric interlacing patterns are a subcategory of Islamic pattern and ornament. They can be considered a particular type of arabesque which developed from the rich interlace patterning of the Byzantine Empire, and Coptic art. One of the first Western studies of the subject was E. H. Hankin's "The Drawing of Geometric Patterns in Saracenic Art", published in Memoirs of the Archaeological Societry of India in 1925.