Tangent-developable surface

This article defines a property that makes sense for a surface embedded in

${\mathbb{R}}^3$

, viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.
View other such properties

Definition

A surface embedded in ${\mathbb{R}}^3$ is said to be tangent-developable if there is a curve on the surface such that the tangent lines to the curve all lie completely on the surface, and further, such that the union of these tangent lines is the whole surface.

Relation with other properties

Weaker properties

• Developable surface
• Ruled surface