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Category Archives: Architecture
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
6 Comments
Periodic and Non-Periodic Tiling
The concepts of periodic and non-periodic 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
4 Comments
The Container for The Thing Contained
This post is the result of a recent first visit to Berlin; and in particular to the Altes, Neues and Jüdiches Museums there. These irreverently brought to mind James Thurber’s story Here Lies Miss Groby and her concept of the … Continue reading
Thawing Frozen Music
Goethe is usually credited with using the phrase “I call architecture frozen music” in a letter published in 1836. (Eckermann 1836) A similar phrase “Architecture is like frozen music” seems to have been used earlier in Schelling’s Philosophy of Art. (Schelling 1802-03) … Continue reading
Posted in Architecture, Frozen Music
Tagged Architecture, expo 58, Frozen Music, le corbusier
1 Comment
Wyld’s Great Globe
Wyld’s Great Globe: Following Richard Coyne’s post on Panoptic Man http://richardcoyne.com/2012/02/25/panoptic-man/ I thought it might be useful to post the following remarks about Panorama buildings. For my wife’s 60th birthday, in 2007, we took our two sons and their partners … Continue reading
A Dream World
A Dream World: A Celestial Geometer imagines a world made up entirely of the following diagram He asks a handy systems analyst newly arrived in heaven, after a life of endless toil working on CAAD, to design a computer database … Continue reading
Plain and Provisional
Plain and Provisional: A largely visual argument occasioned by 2 well known Manchester housing schemes. 1 Lovell East Manchester Exemplar Housing In Venturi and Brown terms, this scheme is definitely a Duck. Plans manipulated to provide interesting … Continue reading
Posted in Aesthetics, Architecture, Housing
Tagged Aesthetics, Architecture, Housing
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