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arXiv · 1404.6996

Logarithmically spiraling helicoids

Christine Breiner·Stephen J. Kleene
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Abstract

We construct helicoid-like embedded minimal disks with axes along self-similar curves modeled on logarithmic spirals. The surfaces have a self-similarity inherited from the curves and the nature of the construction. Moreover, inside of a "logarithmic cone", the surfaces are embedded.

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Christine Breiner, Stephen J. Kleene. 2014-04-29. Logarithmically spiraling helicoids. https://arxiv.org/abs/1404.6996

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