Variations of solid geometric objects that maintain a constant height when moved

―Elliptical arcs that replace circular arcs in “Two Ellipse Roller” and “A study of tangible−K”―

Abstract

For some time I have created a number of large three− dimensional objects that can be rolled on a flat surface. These objects are made out of stainless steel pipes and designed from the point of view of the plastic arts. Viewers can touch and move the objects while appreciating changes in visual appearance. One of these objects, entitled “Two−Circle−Roller” is contains two connected disks ; another is a half−disk entitled “Sphericon.” In recent years I have altered the shape of such objects by changing circular arcs to elliptical ones. These objects still move smoothly across a flat surface. I am exploring the possibilities of changing centers of gravity of objects of a constant height resulting from elliptical arcs. By creating these objects I have also succeeded in demonstrating that their actual production is possible.