Phyllotactic Patterns on Plants Export

@article{citeulike:2207831, abstract = {We demonstrate how phyllotaxis (the arrangement of leaves on plants) and the deformation configurations seen on plant surfaces may be understood as the energy-minimizing buckling pattern of a compressed shell (the plant's tunica) on an elastic foundation. The key new idea is that the strain energy is minimized by configurations consisting of special triads of almost periodic deformations. We reproduce a wide spectrum of plant patterns; all with the divergence angles observed in nature; and show how the occurrences of Fibonacci-like sequences and the golden angle are natural consequences.}, author = {Shipman, Patrick D. and Newell, Alan C.}, citeulike-article-id = {2207831}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevLett.92.168102}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v92/i16/e168102}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v92/i16/e168102}, day = {23}, doi = {10.1103/PhysRevLett.92.168102}, journal = {Physical Review Letters}, keywords = {cp, phyllotaxis, physics}, month = {April}, number = {16}, pages = {168102+}, posted-at = {2008-01-08 14:52:05}, priority = {2}, publisher = {American Physical Society}, title = {Phyllotactic Patterns on Plants}, url = {http://dx.doi.org/10.1103/PhysRevLett.92.168102}, volume = {92}, year = {2004} }

TY - JOUR ID - citeulike:2207831 L3 - citeulike-article-id:2207831 N2 - We demonstrate how phyllotaxis (the arrangement of leaves on plants) and the deformation configurations seen on plant surfaces may be understood as the energy-minimizing buckling pattern of a compressed shell (the plant’s tunica) on an elastic foundation. The key new idea is that the strain energy is minimized by configurations consisting of special triads of almost periodic deformations. We reproduce a wide spectrum of plant patterns; all with the divergence angles observed in nature; and show how the occurrences of Fibonacci-like sequences and the golden angle are natural consequences. IS - 16 JF - Physical Review Letters TI - Phyllotactic Patterns on Plants PB - American Physical Society VL - 92 SP - 168102 KW - cp KW - phyllotaxis KW - physics AU - Shipman, Patrick AU - Newell, Alan PY - 2004/04/23/ UR - http://dx.doi.org/10.1103/PhysRevLett.92.168102 ER -