April 24, 2026
Description
The oloid is a fascinating geometric solid discovered by Paul Schatz in 1929.
Its unique property is that it rolls while touching every point on its surface, even though it is not a sphere.
This 3D model is designed for easy printing and works great as an educational object, desk toy, or stress‑relief item.
Accurate geometry based on the classical oloid construction
Smooth continuous surface, ideal for math demonstrations
No supports required
Single-piece model, ready to print
Technology: FDM / FFF
Layer height: 0.16–0.20 mm
Perimeters: 2–3
Infill: 10–20% (gyroid or cubic recommended)
Supports: Not required
Material: PLA, PETG, or ABS
Orientation: Place it on one of the two “flat sides” for maximum stability
The model can be freely scaled.
A length of 60–100 mm provides a smooth and pleasant rolling motion.
Geometry and motion demonstrations
Desk toy or fidget object
Minimal decorative piece
STEM educational activities
For an even smoother surface, you can enable vase mode with thicker walls,
or slightly increase the printing temperature to improve layer bonding.
oloid, paul schatz, geometric solid, math toy, rolling shape, educational model, 3dprint, stem, desk toy
License:
Creative Commons — Attribution — Noncommercial — Share Alike