|
Application of Approximation in the Design of Geometric Patterns:
Investigation of the Grid method in Eight-Fold Geometric Patterns
|
Mahdi Azizi Hamedani   , Gholamhossein Memarian * , Asghar Mohammadmoradi |
|
|
|
Abstract: (27 Views) |
Geometric patterns can be drawn through multiple methods, including software tools (e.g., AutoCAD, GeoGebra, Geometer’s Sketchpad), manual drafting with rulers and compasses, or regular polygonal grids constructed by artists. This article aims to investigate the role of approximation in the design and execution of geometric patterns in Iranian architecture, focusing on a comparison between traditional grid-based (approximate) methods and radial infrastructure methods. The study seeks to address this central question: Why did master artisans use approximate methods in drafting geometric patterns despite their awareness of minor inaccuracies?
The research employs a qualitative methodology with a logical reasoning approach. Within this framework, various manual and traditional drafting techniques (radial and grid-based methods) are examined, representative case studies are reconstructed, and the advantages and limitations of each method are analyzed.
Findings reveal that while the use of approximation in grid-based methods introduces slight deviations in angles and proportions, it offers significant practical benefits. These include:
Reduced errors in manual drafting; Simplified area and material calculations; Increased execution speed and ease of training; Enhanced feasibility for developing creative designs in non-workshop environments.
Notably, the grid-based approach streamlines geometric processes, accelerating pattern execution on materials such as wood, tile, and glass, while eliminating the need for complex computations. The results ultimately emphasize that approximation was employed in Iranian architectural tradition not merely as a constraint, but as an intelligent solution to harmonize geometric precision with artistic creativity and practical efficiency.
|
|
| Keywords: Geometric Patterns, Approximation, Gereh, Grid Method |
|
|
Full-Text [PDF 2203 kb]
(18 Downloads)
|
|
Type of Study: Research |
Subject:
Special
|
|
|
|
|
|
|
| Send email to the article author |
|
|
|
| Add your comments about this article |
|
|
|
