The oloid, discovered by Paul Schatz in 1929 during his inquiry into cube eversion, is an intriguing geometric form with elegant mathematical and kinematic properties. Although it can be constructed from two orthogonal, interlocking circles, the oloid emerged originally from Schatz’s sustained exploration of motion, form, and natural rhythms behind cube eversion. Many of his original observations, especially those involving the deltohedron and its transformation through eversion, were communicated through static illustrations and verbal descriptions that remain difficult to understand. This chapter revisits those ideas using contemporary design tools such as GeoGebra® and Autodesk Fusion 360®, offering dynamic simulations and 3D-printed constructions that make Schatz’s vision more accessible. Key geometric facts are clarified and extended, including a geometric construction of the deltohedron and a proof of its internal circular motions. These dynamic and tangible models help illuminate the intricate “form-feeling” that Schatz emphasized, showcasing the interdisciplinary potential of eversion geometry. This work aligns with contemporary interests in STEAM (Science, Technology, Engineering, Art, and Mathematics) education and demonstrates how classical mathematical insights can be reinterpreted and appreciated using today’s modeling technologies.