Revisiting Ad Quadratum and Ad Triangulum to Generate Hyperbolic Tessellations

Year: 2022 Authors: Gizem Efendioglu; Sema Alaçam

Core claim

Ad Quadratum and Ad Triangulum can generate richer pattern families when read through non-Euclidean hyperbolic tessellations.

Topics

pattern generation, hyperbolic tessellations, medieval geometry, Gothic architecture

Domains

non-Euclidean geometry, tessellations, Schlafli symbols, Poincaré disk model, architectural ornament, Gothic vaults, geometric pattern design, visual pattern systems

Methods

geometric reinterpretation, tessellation analysis, comparative pattern mapping, diagrammatic reconstruction

Media

circle-based constructions, squares, triangles, vault diagrams

Source status

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