Stressed Fibonacci spiral patterns of definite chirality

by: Chaorong Li, Ailing Ji, Zexian Cao

Applied Physics Letters, Vol. 90, No. 16. (2007)

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Abstract

Fibonacci spirals are ubiquitous in nature, but the spontaneous assembly of such patterns has rarely been realized in laboratory. By manipulating the stress on Ag core/SiO2 shell microstructures, the authors obtained a series of Fibonacci spirals (3×5 to 13×21) of definite chirality as a least elastic energy configuration. The Fibonacci spirals occur uniquely on conical supports-spherical receptacles result in triangular tessellations, and slanted receptacles introduce irregularities. These results demonstrate an effective path for the mass fabrication of patterned structures on curved surfaces; they may also provide a complementary mechanism for the formation of phyllotactic patterns. ©2007 American Institute of Physics

@article{citeulike:1267813, abstract = {Fibonacci spirals are ubiquitous in nature, but the spontaneous assembly of such patterns has rarely been realized in laboratory. By manipulating the stress on Ag core/SiO2 shell microstructures, the authors obtained a series of Fibonacci spirals (3\×5\ \ to\ \ 13\×21) of definite chirality as a least elastic energy configuration. The Fibonacci spirals occur uniquely on conical supports-spherical receptacles result in triangular tessellations, and slanted receptacles introduce irregularities. These results demonstrate an effective path for the mass fabrication of patterned structures on curved surfaces; they may also provide a complementary mechanism for the formation of phyllotactic patterns. \©2007 American Institute of Physics}, author = {Li, Chaorong and Ji, Ailing and Cao, Zexian }, citeulike-article-id = {1267813}, doi = {http://dx.doi.org/10.1063/1.2728578}, journal = {Applied Physics Letters}, keywords = {pattern\_formation, physics}, number = {16}, posted-at = {2007-06-19 11:05:23}, priority = {2}, publisher = {AIP}, title = {Stressed Fibonacci spiral patterns of definite chirality}, url = {http://dx.doi.org/10.1063/1.2728578}, volume = {90}, year = {2007} }

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TY - JOUR ID - citeulike:1267813 L3 - citeulike-article-id:1267813 TI - Stressed Fibonacci spiral patterns of definite chirality JF - Applied Physics Letters VL - 90 IS - 16 PB - AIP N2 - Fibonacci spirals are ubiquitous in nature, but the spontaneous assembly of such patterns has rarely been realized in laboratory. By manipulating the stress on Ag core/SiO2 shell microstructures, the authors obtained a series of Fibonacci spirals (3×5  to  13×21) of definite chirality as a least elastic energy configuration. The Fibonacci spirals occur uniquely on conical supports-spherical receptacles result in triangular tessellations, and slanted receptacles introduce irregularities. These results demonstrate an effective path for the mass fabrication of patterned structures on curved surfaces; they may also provide a complementary mechanism for the formation of phyllotactic patterns. ©2007 American Institute of Physics KW - pattern_formation KW - physics AU - Li, Chaorong AU - Ji, Ailing AU - Cao, Zexian PY - 2007/// UR - http://dx.doi.org/10.1063/1.2728578 ER -

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