Cyclic 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.
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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.