Why are Three-dimensional Organisms Composed of Two-dimensional Layers? |
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Authors: | Yair Neuman Itzhak Orion |
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Institution: | (1) Ben-Gurion University of the Negev, Beer-Sheva, Israel;(2) Ben-Gurion University of the Negev, Beer-Sheva, Israel |
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Abstract: | Multicellular organisms are ensembles of quasi-two-dimensional structures (sheets) of various kinds. Why should the development of all organisms be mediated by a quasi-two-dimensional structure? Why does such development avoid a direct confrontation with the third dimension? In this paper, we accept the challenge of addressing this question from the perspective of computational geometry and suggest that the construction of three-dimensional organisms may be explained by the constraints imposed on a bottom-up construction process. |
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Keywords: | analytical geometry cognition computational geometry dimensionality of organisms interdisciplinary research |
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