Evertbile Cube, Oloid, and Circumsphere, Schatz

Models for Exploring Schatz's Evertible Cube, the Oloid, and the Circumscribed Sphere

This is a series of 3D printable models that seek to explore the intricate and beautiful relationships among Schatz's evertible (or invertible) cube and its connections to the oloid, including the underlying deltohedron and its circumsphere. As the evertible cube cycles around, the corresponding circumsphere approaches infimity four times in one cycle.

The sphere can be big, depending on the position of the evertible cube during its cycle. Please feel free to scale it down or just use the STL file for 3D explorations.

####References

1. Schatz, Paul (2013). The study of rhythms and technology : the evertible cube : polysomatic form-finding (4th Ed., P. Carline, Trans.). Niggli Verlag.
2. https://www.thingiverse.com/thing:5115311