Abstract
One approach to the ancient problem of “duplicating the cube” is related to a peculiar extremal problem in Euclidean and non-Euclidean planes. The non-Euclidean instances of this problem lead to the study of a family of octavic curves in the real projective plane.
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Dedicated to Herbert Zeitler on the occasion of his 70th birthday.
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Coxeter, H.S.M., van de Craats, J. Philon lines in non-Euclidean planes. J Geom 48, 26–55 (1993). https://doi.org/10.1007/BF01226799
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DOI: https://doi.org/10.1007/BF01226799