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 A291713 144 * preferred ratios of room width / length in Alberti's Ten Books on Architecture. 3
 36, 48, 54, 64, 72, 81, 96, 108, 144 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Coincides with A114334(14) ... A114334(22) (Divisors of 6^6). LINKS Radislav Zuk, From Renaissance Musical Proportions to Polytonality in Twentieth Century Architecture, Chapter 38 in Volume 1 of K. Williams and M. J. Ostwald (eds.), Architecture and Mathematics from Antiquity to the Future, DOI 10.1007/978-3-319-00137-1_38, Springer International Publishing Switzerland 2015 EXAMPLE The following table is provided in the Zuk article: . Table 38.9 Proportions derived from Alberti's preferred ratios   Plan  Length      Mean              L : H : W   ratio      Width             Height    1:1    1    1    Any mean     1    1 : 1 : 1    3:2    6    4    Arithmetic   5    6 : 5 : 4    3:2   15   10    Harmonic    12   15 :12 :10    4:3    8    6    Arithmetic   7    8 : 7 : 6    2:1    4    2    Arithmetic   3    4 : 3 : 2    9:4    9    4    Geometric    6    9 : 6 : 4   16:9   16    9    Geometric   12   16 :12 : 9    3:1    3    1    Arithmetic   2    3 : 2 : 1    8:3    8    3    Fibonacci    5    8 : 5 : 3    4:1    4    1    Geometric    2    4 : 2 : 1 . a(8)=108 is in the sequence, because the ratio 144/108 corresponds to the plan ratio of 4:3. CROSSREFS Cf. A114334, A291714, A291715, A291719. Sequence in context: A083674 A160063 A260927 * A287840 A244326 A064597 Adjacent sequences:  A291710 A291711 A291712 * A291714 A291715 A291716 KEYWORD nonn,fini,full AUTHOR Hugo Pfoertner, Aug 30 2017 STATUS approved

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Last modified December 4 21:14 EST 2020. Contains 338938 sequences. (Running on oeis4.)