# Static and dynamical phyllotaxis in a magnetic cactus.

@article{Nisoli2009StaticAD, title={Static and dynamical phyllotaxis in a magnetic cactus.}, author={Cristiano Nisoli and Nathaniel M. Gabor and Paul E. Lammert and J D Maynard and Vincent H. Crespi}, journal={Physical review letters}, year={2009}, volume={102 18}, pages={ 186103 } }

While the statics of many simple physical systems reproduce the striking number-theoretical patterns found in the phyllotaxis of living beings, their dynamics reveal unusual excitations: multiple classical rotons and a large family of interconverting topological solitons. As we introduce those, we also demonstrate experimentally for the first time Levitov's celebrated model for phyllotaxis. Applications at different scales and in different areas of physics are proposed and discussed.

## 17 Citations

### Spiraling solitons: A continuum model for dynamical phyllotaxis of physical systems.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

A minimal and local continuum model that can explain many of the features of the phyllotactic soliton, such as locked speed, screw shift, energy transport, and--for Wigner crystal on a nanotube--charge transport is presented.

### Annealing a magnetic cactus into phyllotaxis.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

This work provides experimental and numerical evidence that the Phyllotactic lattice is actually a ground state, and employs a structural genetic algorithm to explore the more general axially unconstrained case, which reveals multijugate (multiple spirals) as well as monojugates (single-spiral) phyllotaxis.

### Repulsion pressure model and numerical simulation for spiral phyllotactic patterns of plants.

- PhysicsMathematical biosciences
- 2013

### Fibonacci Numbers and the Golden Ratio in Biology, Physics, Astrophysics, Chemistry and Technology: A Non-Exhaustive Review

- Physics
- 2017

Fibonacci numbers and the golden ratio can be found in nearly all domains of Science, appearing when self-organization processes are at play and/or expressing minimum energy configurations. Several…

### Noise and Robustness in Phyllotaxis

- BiologyPLoS Comput. Biol.
- 2012

This work incorporated stochasticity in the model and found three main classes of defects in spiral phyllotaxis – the reversal of the handedness of spirals, the concomitant initiation of organs and the occurrence of distichous angles – and investigated whether a secondary inhibitory field filters out defects.

### π-π orbital resonance in twisting duplex DNA: Dynamical phyllotaxis and electronic structure effects

- Chemistry
- 2009

The presence of synchronized, collective twist motions of the Watson-Crick base pairs in DNA duplexes (helicoidal standing waves) can efficiently enhance the pi-pi orbital overlapping between…

### Formation and crossover of multiple helical dipole chains

- Computer ScienceJournal of Physics A: Mathematical and Theoretical
- 2022

It is demonstrated that all possible configurations form a self-similar bifurcation diagram which can be linked to the Stern–Brocot tree and the underlying Farey sequence.

### Shape Limit in Triangular Spiral Tilings

- Mathematics
- 2014

Phyllotaxis is the study of arrangements of leafs and orets. The topology of triangular spiral (multiple) tilings with opposed parastichy pairs is intimately related to the phyllotaxis theory and…

### Can magnetism-assisted quasiperiodic structures in Russell-FeS `bubbles' offer a quantum coherent origin of life?

- Physics
- 2007

This paper seeks to expand the scope of the alkaline seepage site hydrothermal mound scenario of Russell et al, by appealing to its wider canvas for hypothesizing self-assembly of gregite clusters…

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