# Cyclic surface

From Diffgeom

This article defines a property that makes sense for a surface embedded in , viz three-dimensional Euclidean space. The property is invariant under orthogonal transformations and scaling, i.e., under all similarity transformations.

View other such properties

*This property is equivalent to admitting a foliation by the following kind of geometric object:* circle

## Definition

A **cyclic surface** is defined as a surface that can be foliated by pieces of circles, or equivalently, a surface that is generated by a one-parameter family of circles.