| Summary: | In this article, we classify the developable surfaces in three-dimensional Euclidean space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="bold">R</mi><mn>3</mn></msup></semantics></math></inline-formula> that are foliated by general ellipses. We show that the surface has constant Gaussian curvature <b>(CGC)</b> and is foliated by general ellipses if and only if the surface is developable, i.e., the Gaussian curvature <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold">G</mi></semantics></math></inline-formula> vanishes everywhere. We characterize all developable surfaces foliated by general ellipses. Some of these surfaces are conical surfaces, and the others are surfaces generated by some special base curves.
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