Mathematics and Architecture Since 1960

作者: Lionel March

DOI: 10.1007/978-3-319-00143-2_38

关键词:

摘要: This present survey, based on personal experiences, focuses the role that mathematical thought plays in furthering generic knowledge of architectural form, and is organised around three categories identified by Froebel’s proposal for study form—quantitative, qualitative relational . Quantitative studies measure various material dimensions form: length, area, volume. The quantitative relationships between building forms, heights, areas sites, road widths, open are examined early “land use built form studies”. Qualitative emphasize spatial transformations, modern group theory symmetry, topological relations. Distinct forms may well be equivalent under or topology. An example given an application Polya’s enumeration theorem. Relational were said, Froebel, to “forms life”. Relations dimensions, symmetries topology now addressed advances shape computation.

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