), while rolling on a flat surface, its center of mass performs a meander motion rather than a linear one.
The length of this segment stays unchanged throughout the motion, and is given by:[1][3] The sphericon is the convex hull of two semicircles on perpendicular planes, with centers at a single point.
[4] In 1979, modern dancer Alan Boeding designed his "Circle Walker" sculpture from two crosswise semicircles, forming a skeletal version of the sphericon, a shape with a similar rolling motion to the oloid.
He began dancing with a scaled-up version of the sculpture in 1980 as part of an MFA program in sculpture at Indiana University, and after he joined the MOMIX dance company in 1984 the piece became incorporated into the company's performances.
[5][6] The company's later piece "Dream Catcher" is based around another Boeding sculpture whose linked teardrop shapes incorporate the skeleton and rolling motion of the oloid.
With contributions by Dirk Böttcher, Andreas Chiquet, Heinrich Frontzek a.o., niggli Verlag 2023, ISBN 978-3-7212-1025-5