A Design Method Based on Close-Packing Circles and Spheres of Multiple Sizes for Designers and Architects

Year: 2018 Authors: Roger Burrows

Core claim

Step-by-step variation of circle and sphere sizes and positions within symmetric tessellations yields precise polygonal and polyhedral forms with useful proportional relationships.

Topics

close-packing geometry, tessellating tiles, polygonal extraction, sphere arrangements, proportional design

Domains

geometry, circle packing, sphere packing, tessellations, symmetry, Islamic geometric design, architecture, pattern design

Methods

step-by-step algorithm, symmetry-based construction, iterative size variation, polygon extraction, 3D extension

Media

circles, spheres, tiles, prisms, line patterns

Source status

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