May 17, 2026
Description
Mathematical Art: The Inverted Oloid
This model is a unique take on the Oloid, a three-dimensional curved geometric object discovered by Paul Schatz in 1929. Unlike a standard solid oloid, this inverted oloid features a hollowed-out center that emphasizes the mesmerizing, continuous surface and complex geometry.
It is more than just a sculpture; it is a tactile "fidget" desk toy and a sophisticated conversation piece. Its unique shape allows it to roll in a peculiar, wobbling motion, and it develops an incredibly complex shadow profile under direct light.
Source: Developed as a custom design.
Software: Modeled with precision in FreeCAD.
Geometry: Derived from the convex hull of two linked congruent circles in perpendicular planes, then inverted to reveal its inner architecture.
To capture the smooth transitions of these steep curves, I recommend the following:
Filament: Matte Grey PLA (as shown in the renders) or Silk PLA for a metallic look.
Layer Height: 0.12mm or 0.16mm for the best surface finish on the curves.
Walls/Perimeters: 3 walls for structural integrity.
Infill: 10-15% (Gyroid works well for geometric models).
Supports: Minimal supports may be required depending on your printer’s cooling and bridging performance.
Orientation: For the smoothest finish, print it resting on one of its curved edges with a small brim for stability.
How to video
https://m.youtube.com/watch?v=3P29Ljokl_I
License:
Creative Commons — Attribution — Noncommercial — NoDerivatives
Hemal
