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References
Bonnesen, T. and Fenchel, W., Theorie der konvexen Körper, Springer-Verlag, Berlin, 1934.
Cockayne, E.J., ‘On the Steiner Problem’, Canad. Math. Bull. 10 (1967), 431–450.
Court, N.A., Modern Pure Solid Geometry, Macmillan, New York, 1935.
Eggleston, H.G., Convexity, Cambridge Univ. Press, New York, 1959.
Francis, R. L., ‘A Note on the Optimum Location of New Machines in Existing Plant Layouts’, J. Indust. Engrg. 14 (1963), 57–59.
Gál, I.S., ‘A Theorem Concerning Closed Polygons’, Annal. Math. 27 (1948), 261–265.
Hanan, M., ‘On the Steiner Problem with Rectilinear Distance’, SIAM J. Appl. Math. 14 (1966), 255–265.
Honsberger, R., ‘Mathematical Gems’, Dolciani Mathematical Expositions, No. 1, Mathematical Association of America, 1973.
Kuhn, H. W., ‘“Steiner's” Problem Revisited’, in G. B. Dantzig and B. C. Eaves (eds), Studies in Optimization, MAA Studies in Mathematics, Vol. 10, Mathematical Assoc. of America, 1974, pp. 52–70.
Kuhn, H. W., ‘Nonlinear Programming: a Historical View’, in R. W. Cottle and C. E. Lemke (eds), Nonlinear Programming, SIAM-AMS Proceedings, Vol. 9, Amer. Math. Soc., 1976, 1–26.
Laugwitz, D., ‘Konvexe Mittelpunktsbereiche und normierte Räume’, Math. Z. 61 (1954), 235–244.
Melzak, Z. A., ‘Mathematical Ideas, Modeling and Applications’, Companion to Concrete Mathematics, Vol. II, Wiley, New York, 1976.
Solution to Problem E2641, Amer. Math. Monthly 85 (1978), 496.
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Chakerian, G.D., Ghandehari, M.A. The Fermat problem in Minkowski spaces. Geom Dedicata 17, 227–238 (1985). https://doi.org/10.1007/BF00181589
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DOI: https://doi.org/10.1007/BF00181589