Using Inflation to Lay a P3 Tiling in Two Dimensions and Three Dimensions

Year: 2021 Authors: Debora Coombs

Core claim

A specific inflation of Penrose rhombs yields pavers whose perimeters encode local matching rules for efficient construction of two-dimensional and three-dimensional P3 tilings.

Topics

Penrose tiling, inflation and deflation, quasicrystal geometry, crenellated pavers

Domains

aperiodic tilings, rhomb geometry, symmetry and matching rules, quasicrystals, sculpture, paver design, stained glass, mirrored glass

Methods

drawing and making, painting tile motifs, inflation-line construction, material prototyping

Media

rhombs, stained glass, mirrored glass, wood, plastic molds

Source status

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