Eden Model for Pentagons

Year: 2024 Authors: Érika Roldán; Claudia Silva; Rosemberg Toala-Enriquez

Core claim

Regular pentagon attachment in an Eden-style process yields two orientations, dense possible centers, and linear growth in perimeter and holes, unlike lattice-based models.

Topics

cell growth process, holes in tilings, participatory installation, generative art, first-passage percolation

Domains

topology, geometry, graph growth, first-passage percolation, generative installation, participatory art, physical fabrication, exhibition design

Methods

random edge attachment, simulation, geometric lemma, combinatorial counting

Media

regular pentagons, wood laser-cutting, engraved acrylic, installation surfaces

Source status

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