The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Thirteenth Century Treatise

Year: 2015 Authors: Reza Sarhangi

Core claim

The treatise preserves practical geometric methods for constructing Persian girih patterns and transforming polygons, showing a strong medieval link between mathematics and craft.

Topics

girih constructions, polygon transformations, Persian mosaic design, compass and straightedge

Domains

Euclidean geometry, polygonal transformations, similarity, tessellations, Islamic ornament, Persian architecture, mosaic design, tiling patterns

Methods

geometric analysis, compass-straightedge construction, proof sketch, software reconstruction

Media

Geometer’s Sketchpad, treatise images, architectural tilework

Source status

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