Rhythm Domes: Applications of Euclid’s Algorithm to Architecture

Year: 2019 Authors: Eric Worcester

Core claim

Euclid’s Algorithm can generate architectural dome geometry through repeated subtraction, Möbius transformations, and stereographic projection.

Topics

Euclid’s Algorithm, architectural form generation, rhythmic distribution, dome geometry

Domains

number theory, greatest common divisor, Möbius transformations, stereographic projection, architecture, geometric design, parametric form-making, cladding and symmetry

Methods

repeated subtraction, binary grouping arrays, EA-ED diagram, complex mapping

Media

binary arrays, tables, spherical mappings, dome schematics

Source status

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