Rhombic net

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conformal Chebyshev net

A net such that each quadrangle formed by two pairs of curves of the different families has equal sides up to infinitesimals of order 1. On a surface of revolution, the asymptotic net is a rhombic net. For instance, on a hyperboloid of revolution the rectilinear generators form a rhombic net.


Cf. also Chebyshev net.

How to Cite This Entry:
Rhombic net. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article