摘要

In the second author%26apos;s previous work, we considered an approximation of a catenoid constructed from even truncated cones that maintains minimality in a certain sense. In this paper, we consider such an approximation consisting of odd truncated cones that maintains minimality in the same sense. Through this procedure, we obtain a discrete curve approximating a catenary by exploiting the fact that it is the function that generates a catenoid. In this investigation, the theory of the Gauss hypergeometric functions plays an important role.

  • 出版日期2013-9

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