The focal surfaces of offset surface

Surface family interpolating a common spherical indicatrix curve

“…However, there is an increasing interest of finding surfaces interpolating a given curve as a special curve. Recently, Güler [16] presented the geometric relationship between the focal surfaces and the original surface. Bayram [7] constructed surfaces with constant mean curvature along a timelike curve.…”

Involutive sweeping surfaces with Frenet frame in Euclidean 3-space

“…From a different point of view, the coupled non-dispersion (CD) equation from the motion of the involute evolute curve family, which provides a suitable interpretation for the integrability conditions is introduced in [15] . Further on, in order to synthesize interdisciplinary papers, we would like to note some of the important studies on ruled surfaces and surface family in different spaces [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] .…”