Abstract
In this work we report on the existence of a new upper bound for the Steiner Ratio value of the Euclidean Steiner Problem in R 3 which was obtained by investigating deformed structures around the configuration made by regular tetrahedra bounded together at common faces. The new value does not violate the validity of the “3-sausage” configuration topology, but it is an explicit disproof of the conjecture based on a chain of regular tetrahedra as a realization of this topology. We have also analysed some implications of this result to the definition of a convenient chirality parameter.
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Mondaini, R.P. (2004). The Steiner Ratio and the Homochirality of Biomacromolecular Structures. In: Floudas, C.A., Pardalos, P. (eds) Frontiers in Global Optimization. Nonconvex Optimization and Its Applications, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0251-3_20
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DOI: https://doi.org/10.1007/978-1-4613-0251-3_20
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