FURTHER EXPERIMENTS ON WHORLED PHYLLOTAXIS

On geodesics of phyllotaxis

1: Seeds of sunflowers are often modelled by the map n 7−→ φθ(n) = √ ne2iπnθ leading to a roughly uniform repartition with two consecutive seeds separated by the divergence angle 2πθ for θ the golden ratio. We associate to an arbitrary real divergence angle 2πθ a geodesic path γθ : R>0 −→ PSL2(Z)\H of the modular curve and use it for local descriptions of the image φθ(N) of the phyllotactic map...

Some Further Experiments on Bimolecular Lipid Membranes

In the earlier experiments it was established that a bilayer of pure egg phosphatidyl choline containing less than 50 per cent by volume of n-decane had a capacitance of 0.38 /ff/cm2 , this value being independent of applied voltage up to at least 50 my and independent of frequency between 200 and 5 X 106 cs. It was also unaffected by the nature and concentration of the surrounding electrolyte ...

Further daemon detection experiments

The experiments on detection of daemons captured into geocentric orbits, which are based on the postulated fast decay of daemon-containing nuclei, have been continued. By properly varying the experimental parameters, it has become possible to reveal and formulate some relations governing the interaction of daemons with matter. Among them are, for instance, the emission of energetic Auger-type e...

IPFP and Further Experiments

Iterative Proportional Fitting Procedure is commonly used in probability theory for construction of a joint probability distribution from a system of its marginals. A similar idea can be used in case of belief functions thanks to special operators of composition defined in this framework. In this paper, a formerly designed IPF procedure is further studied. We propose a modification of compositi...

Further Preliminary Experiments with Iidle