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Tree trunks and branches as optimum mechanical supports of the crown: II. The branches

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Abstract

Using assumptions made in a previous paper, a theory of the shapes of primary branches is developed. Two cases are studied: a primary branch which has a portion denuded of secondary branches, and a primary branch with a continuous load of secondary branches. The first case leads to hyperelliptic integrals, the second—to polynomials of second degree.

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Literature

  • Esser, M. H. M. 1946. “Tree Trunks and Branches as Optimum Mechanical Supports of the Crown: I. The Trunk”.Bull. Math. Biophysics,8, 65–72.

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  1. The University of Chicago, Chicago, USA

    Martinus H. M. Esser

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  1. Martinus H. M. Esser
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Esser, M.H.M. Tree trunks and branches as optimum mechanical supports of the crown: II. The branches. Bulletin of Mathematical Biophysics 8, 95–100 (1946). https://doi.org/10.1007/BF02478245

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  • DOI: https://doi.org/10.1007/BF02478245

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