Abstract
A work on analyzing and modeling reticulated pattern is told through a personal point of view, showing its development trough many people inputs, including that of Yves Couder. The question of how to describe a reticulated pattern as Ficus religiosa leaf veins and make a physical model reproducing it, led to study cracks in colloids or clay, city streets plans, gorgon skeletons and variation in fern vein patterns.
Highlights
The story of scientific discoveries and the meandering that can lead to them is rarely told, and fade compared to the reconstructed logical discourse, if not mythical communication stories, like Newton’s apple or Flemming’s petri dishes.1 Let it be a little example, seen from a single personal point of view (Stéphane Douady), but involving many people.After the work with Yves Couder on phyllotaxis, we were invited to a conference in Calcutta (India) in 1993
Even after all this work it should be clear that the analyze of reticulated patterns, the understanding of their dynamics, and the distinction and possible transition between tree like structure and reticulated one, within the same frame, is still an open question
The question of analyze has made big progress, but the tools remain to be used, and the various cases compared. The success of this step is necessary before going in the phase of making the link between the growth dynamics and the final pattern
Summary
The story of scientific discoveries and the meandering that can lead to them is rarely told, and fade compared to the reconstructed logical discourse, if not mythical (mostly fabricated) communication stories, like Newton’s apple or Flemming’s petri dishes. Let it be a little example, seen from a single personal point of view (Stéphane Douady), but involving many people. The tree is a Ficus named afterward Ficus religiosa, as it ended up being planted in all Buddhist temples in Asia. It is anyway common around the tropic, and is used for instance as alignment trees in la Havana, Cuba. How one could build a model that would produce such patterns, since the models I knew, like Saffman–Taylor from Yves’ work, would produce only trees, and fingers would precisely never reconnect [1].
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