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Category Archives: Geometry
Wang Tiles and Aperiodic Tiling
Wang originally conjectured that no aperiodic tilings could exist. Wang was interested in the decidability of the Tiling Problem; it is said to be decidable if there exists an algorithm which will yield a solution for any given set of prototiles … Continue reading
Posted in Aperiodic Tiling, Architecture, Geometry, Tiling
Tagged Aperiodic Tiling, Geometry, Tiling
13 Comments
Aperiodic Tiling
This closely follows “Tilings and Patterns” (Grünbaum and Shephard, 1987), but uses coloured diagrams rather than their monochrome ones. In some ways this is simply a catalogue of aperiodic tilings, their various forms and some indication of their uses, but my interest … Continue reading
Posted in Aperiodic Tiling, Architecture, Geometry
Tagged Aperiodic Tiling, Geometry, Tiling
5 Comments
Periodic and NonPeriodic Tiling
The concepts of periodic and nonperiodic tiling are defined so as to clearly distinguish them from aperiodic tiling; the subject of a future post “Aperiodic Tiling”. Informally a tiling (of the 2D Euclidean plane) is a collection of subsets of … Continue reading
Posted in Aperiodic Tiling, Architecture, Geometry, Tiling
Tagged Aperiodic Tiling, Architecture, Geometry, Tiling
3 Comments
Haptic Bedside Lamp
I had surprisingly forgotten about this haptic lamp that actually sits in one of our bedrooms. We originally came across them in a smart B+B in Arboyne and initially were flumoxed by them. The clue to its use is on the … Continue reading
Posted in Design, Geometry, Haptic Objects, Products
Tagged Design, Geometry, Haptic Objects, Products
3 Comments
Quasicrystals and Aperiodic Tiling
In 2011 Dan Shechtman was alone awarded the Nobel Prize in Chemistry for the discovery of quasicrystals. Shechtman found in 1982 that atoms in a crystal could exhibit 5 fold symmetry packed in a pattern that did not repeat itself; analogous … Continue reading