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HandWiki. Dynamic Rectangle. Encyclopedia. Available online: https://encyclopedia.pub/entry/30420 (accessed on 22 October 2026).
HandWiki. Dynamic Rectangle. Encyclopedia. Available at: https://encyclopedia.pub/entry/30420. Accessed October 22, 2026.
HandWiki. "Dynamic Rectangle" Encyclopedia, https://encyclopedia.pub/entry/30420 (accessed October 22, 2026).
HandWiki. (2022, October 20). Dynamic Rectangle. In Encyclopedia. https://encyclopedia.pub/entry/30420
HandWiki. "Dynamic Rectangle." Encyclopedia. Web. 20 October, 2022.

Dynamic Rectangle

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The content is sourced from: https://handwiki.org/wiki/Dynamic_rectangle

A dynamic rectangle is a right-angled, four-sided figure (a rectangle) with dynamic symmetry, which in this case, means that aspect ratio (width divided by height) is a distinguished value in dynamic symmetry, a proportioning system and natural design methodology described in Jay Hambidge's books. These dynamic rectangles begin with a square, which is extended (using a series of arcs and cross points) to form the desired figure, which can be the golden rectangle (1 : 1.618...), the 2:3 rectangle, the double square (1:2), or a root rectangle (1:√φ, 1:√2, 1:√3, 1:√5, etc.).

golden rectangle aspect ratio symmetry

References

  1. Jay Hambidge (1920) [1920]. Dynamic Symmetry: The Greek Vase (Reprint of original Yale University Press ed.). Whitefish, MT: Kessinger Publishing. pp. 19–29. ISBN 0-7661-7679-7. https://archive.org/details/bub_gb_Qq4gAAAAMAAJ. "Dynamic Symmetry root rectangles." 
  2. Jay Hambidge. (1926, 1948, 1967)The Elements of Dynamic Symmetry. Courier Dover Publications. pp. 9–10. https://books.google.com/books?id=VYJK2F-dh2oC&pg=PA10&dq=intitle:dynamic+intitle:symmetry+inauthor:hambidge+root+dynamic-rectangles&lr=&as_brr=0&ei=b0BCSJHNBZW-jgG6gsGIBQ&sig=fE_8Kx_rO0GURo3g6JLizq1MUsI#PPA9,M1
  3. Andrew Haslam (2006). Book Design. Laurence King Publishing. pp. 48–49. ISBN 1-85669-473-9. https://archive.org/details/bookdesign0000hasl. "root-rectangle." 
  4. Wim Muller (2001) Order and Meaning in Design. Lemma Publishers, p. 49.
  5. Kimberly Elam (2001). Geometry of Design: Studies in Proportion and Composition. Princeton Architectural Press. pp. 34–41. ISBN 1-56898-249-6. https://books.google.com/books?id=1KI0JVuWYGkC&pg=PA41&dq=root-5+intitle:geometry+inauthor:elam&lr=&as_brr=0&as_pt=ALLTYPES&ei=KC-iSe--J4HqkwSx6OCNAg#PPA33,M1. 
  6. Matila Ghyka (1977). The Geometry of Art and Life. Courier Dover Publications. pp. 126–127. https://archive.org/details/geometryofartlif00mati. 
  7. Lacey Davis Caskey (1922). Geometry of Greek Vases: Attic Vases in the Museum of Fine Arts Analysed According to the Principals of Proportion Discovered by Jay Hambidge. Museum of Fine Arts, Boston. https://books.google.com/books?id=6qNWAAAAMAAJ&pg=PA4&dq=inauthor:Lacey+inauthor:Davis+inauthor:Caskey+reciprocal&lr=&as_brr=0&ei=JOdFSNTEBpK2sgPmxqGxDQ. 
  8. "Ortho-", Oxford dictionary of current English, Oxford: Oxford University Press, 1998, pp. 627, 1071 p.
  9. CURTIS, Thomas, The London Encyclopaedia, 1829, pp. 356 https://books.google.com/books?id=J3JMAAAAMAAJ&pg=PA356&dq=orthogon+geometry&as_brr=3&ei=fVVxSbfLKYbuMvTy1d8N&hl=en
  10. WERSIN, Wolfgang Von, Das Buch vom Rechteck Gesetz und Gestik des Raumlichen die Othogone-scheibe. Die Orthogone-scheibe (The Book of Rectangles, Spatial Law and Gestures of The Orthogons Described. The Orthogons Described), Ravensburg: Otto Maier Verlag Publishers, 1956
  11. WERSIN, pp. 83
  12. WERSIN, op. cit., pp. 36
  13. WERSIN, pp. 80
  14. http://www.constructingtheuniverse.com/Volume4.html
  15. "Constructie v/d harmonische Rechthoeken". http://alpha.uhasselt.be/~lucp1508/Harmonic/harmonic_rectangles.jpg. 
  16. WERSIN, pp. 82-85
  17. HEMENWAY, pp. 95
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