Ellipsocon
Ellipsocon - novel geometric object based on a conical shape with ellipse as the base. It is similar to Sphericon and Oloid, as all of them have continuous developable surface and are members of a special family of "rollers" (while being rolled on a flat surface, bring all the points of their surface into contact with the surface they are rolling on). All these objects have two congruent edges in perpendicular planes and four vertices. Like Sphericon, Ellipsocon has square cross section with four vertices in the same plane, Oloid's vertices are not in the same plane. Like Oloid, Ellipsocon's measurements across edges and vertices are not equal, Sphericons are equal. Kinematically, when rolled, Spericon's center of gravity (CG) stays on the same distance from the surface, Oliod's and Ellipsocon's CG position varies through roll. Ellipsocon best rolls on the 10 deg. sloped surface.
Carved from American Walnut wood.
Size: ~ 30 mm x 45 mm.Ellipsocon - novel geometric object based on a conical shape with ellipse as the base. It is similar to Sphericon and Oloid, as all of them have continuous developable surface and are members of a special family of "rollers" (while being rolled on a flat surface, bring all the points of their surface into contact with the surface they are rolling on). All these objects have two congruent edges in perpendicular planes and four vertices. Like Sphericon, Ellipsocon has square cross section with four vertices in the same plane, Oloid's vertices are not in the same plane. Like Oloid, Ellipsocon's measurements across edges and vertices are not equal, Sphericons are equal. Kinematically, when rolled, Spericon's center of gravity (CG) stays on the same distance from the surface, Oliod's and Ellipsocon's CG position varies through roll. Ellipsocon best rolls on the 10 deg. sloped surface.
Carved from American Walnut wood.
Size: ~ 30 mm x 45 mm.Ellipsocon - novel geometric object based on a conical shape with ellipse as the base. It is similar to Sphericon and Oloid, as all of them have continuous developable surface and are members of a special family of "rollers" (while being rolled on a flat surface, bring all the points of their surface into contact with the surface they are rolling on). All these objects have two congruent edges in perpendicular planes and four vertices. Like Sphericon, Ellipsocon has square cross section with four vertices in the same plane, Oloid's vertices are not in the same plane. Like Oloid, Ellipsocon's measurements across edges and vertices are not equal, Sphericons are equal. Kinematically, when rolled, Spericon's center of gravity (CG) stays on the same distance from the surface, Oliod's and Ellipsocon's CG position varies through roll. Ellipsocon best rolls on the 10 deg. sloped surface.
Carved from American Walnut wood.
Size: ~ 30 mm x 45 mm.