000			01904nab a2200193 4500
003			OSt
005			20230901154151.0
007			cr aa aaaaa
008			230901b |||||||| |||| 00| 0 eng d
100			_aDawes, Michael J _957390
245			_aMathematical structure of Alexander’s A Pattern Language: _bAnalysis of the role of invariant patterns/
260			_bSage, _c2020.
300			_aVol. 47, Issue 1, 2020, ( 7–24 p.)
520			_aIn 1977 Christopher Alexander and his colleagues from the Centre for Environmental Structure published A Pattern Language, an innovative design guide aimed at restoring life and beauty to the built environment. Since then, A Pattern Language has become one of the most widely read architectural treatises ever published. However, despite its popularity, the structure of A Pattern Language remains poorly understood. In response to this situation, this paper uses graph theory to examine Alexander’s language including the entire set of 253 patterns and over 1800 relationships between them. Through this mathematical analysis the paper tests two hypotheses about the ‘invariant patterns’ Alexander was most confident in. The first hypothesis tests whether invariant patterns occupy more prominent positions within the language, and the second tests whether invariant patterns form a core structure within the language that supports less developed patterns. Through this process the paper illuminates several previously unconsidered aspects of the structure of A Pattern Language while providing the first graphic representation of the entire underlying structure that unites the individual patterns into a coherent language.
700			_aOstwald, Michael J _957391
773	0		_08876 _917104 _dLondon Pion Ltd. 2010 _tEnvironment and planning B: planning and design _x1472-3417
856			_uhttps://doi.org/10.1177/2399808318761396
942			_2ddc _cEJR
999			_c14423 _d14423