Physicists discover how geometric frustration shapes the emblematic flower of the rose

Four physicists from the Hebrew University of Jerusalem, Israel, have untied the mechanical process behind the growth of roses while they flourish in their unique form. In their study published in the journal ScienceYafei Zhang, Omri Cohen, Michael Moshe and Eran Sharon have adopted a multi-plated approach to learn the secrets behind the growth of the rose flower. Qinghao Cui and Lishuai Jin, with the University of Hong Kong, published an article in perspective in the same review issue describing the work.

Roses have been appreciated for their beauty and sweet aromas for thousands of years, but so far, the mechanisms behind the growth of roses have not been explored. To better understand the process, the research team has undertaken a three -component approach. First of all, they carried out a theoretical analysis of the process. Then they created computer models to simulate the ways in which flowers could push and flower; Finally, they created foldable plastic discs from the real world to simulate petals and possible ways to develop given the constraints of real roses.

They found that the shape of the petals is strongly influenced by the frustration known as the incompatibility between the Codazzi-Pederson, under which the conditions of geometric compatibility inherent on a surface made of a particular material are violated, leading to forces which generate bearings and lively tips.

The researchers describe it as the “wanting” petals having a given shape in which they simply bent slightly as they grew up, forming a shape of dish. However, due to the incompatibility of mainardi-codazzi-peterson, they are unable to form their natural loop, so in response, they form several loops separated by net cuspids. As the flower continues to grow and more petals emerge, the constraints increases, resulting in more striking characteristics.

The research team notes that the roses are unique among the flowers, which are generally influenced by the incompatibility of the Gauss, where the constraints lead to wavy diagrams, to less defined edges and to a lack of sharp cuspids. They suggest that their work could help develop formal mortar materials.

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