A geometric trip from curves to seashells

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Published 19-05-2022
Judith Echevarrieta Ibarra Josu Arroyo Olea Javier Gutiérrez García

Abstract

There are many objects in nature which are amazing both for the shape of their structures and for the properties they fulfill. But, we usually settle for believing that they are mysterious structures, since we think that the study of them is not within the reach of our wisdom. In this article, attracted by the shells' ability to survive in the harsh living conditions at sea, we will show that it is possible to reveal, understand and even imitate the structures that describe their bodies. To achieve this goal, we will make use of geometric elements that we all know, curves. Curves will be the basis for the construction of a geometric model that together with the tools provided by computer graphics, will make up the transport that will allow us to travel to the world of seashells. The trip will end with obtaining realistic images that are difficult to distinguish from reality.
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