Developable surface

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This article defines a property that makes sense for a surface embedded in \R^3, viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.
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A surface embedded in \R^3 is termed developable if it satisfies both these conditions:

Equivalently, a surface is developable if it can be generated by a one-parameter family of lines.

Relation with other properties

Stronger properties

Weaker properties

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