BRIDGES Mathematical Connections in Art, Music, and Science Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran Carol Bier Research Associate, The Textile Museum 2320 S Street, NW Washington, DC 20008
[email protected] Abstract The Alhambra has often served in the West as the paradigm for understanding geometric pattern in Islamic art. Constructed in Spain in the 13th century as a highly defended palace, it is a relatively late manifestation of an Islamic fascination with geometric pattern. Numerous earlier Islamic buildings, from Spain to India, exhibit extensive geometric patterning, which substantiate a mathematical interest in the spatial dimension and its manifold potential for meaning. This paper examines two monuments on the Iranian plateau, dating from the 11 th century of our era, in which more than one hundred exterior surface areas have received patterns executed in cut brick. Considering context, architectural function, and accompanying inscriptions, it is proposed that the geometric patterns carry specific meanings in their group assemblage and combine to form a programmatic cycle of meanings. Perceived as ornamental by Western standards, geometric patterns in Islamic art are often construed as decorative without underlying meanings. The evidence presented in this paper suggests a literal association of geometric pattern with metaphysical concerns. In particular, the argument rests upon an interpretation of the passages excerpted from the Qur' an that inform the patterns of these two buildings, the visual and verbal expression mutually reinforcing one another. Specifically, the range and mUltiplicity of geometric patterns may be seen to represent the Arabic concept of mithal, usually translated as parable or similitude.