Geodesic
Dynamic Symmetry in Nature and Architecture
The phenomenon of dynamic symmetry in botanical, the so-called philotaxian, systems is investigated. A mathematical model of phylotaxis grounded on Minkovsky's geometry, as well as the original trigonometric apparatus based upon the golden ratio, are developed. Constant values of phylotaxis dynamic symmetry are defined. The principle of dynamic symmetry in architecture, formulated by D. Hambidge, as well as architect Le Corbusier's Modulor proportional system, are described in terms of philotaxis mathematics.
Classification : 20H15 
@article{VM_2010_12_4_a0,
     author = {Oleh Bodnar},
     title = {Dynamic {Symmetry} in {Nature} and {Architecture}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2010_12_4_a0/}
}
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JO  - Visual Mathematics
PY  - 2010
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PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VM_2010_12_4_a0/
LA  - en
ID  - VM_2010_12_4_a0
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%T Dynamic Symmetry in Nature and Architecture
%J Visual Mathematics
%D 2010
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%N 4
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Oleh Bodnar. Dynamic Symmetry in Nature and Architecture. Visual Mathematics, Tome 12 (2010) no. 4. http://geodesic.mathdoc.fr/item/VM_2010_12_4_a0/