Math Shapes
Oloid, sphericon and Menger sponge
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About this generator
Objects that are fun to hold and hard to explain. Roll the oloid down a slope and watch it wobble.
How to use
- Pick a shape and a size.
- Print it. The oloid and the sphericon come as two halves.
- Glue the halves together and sand the seam.
Printing tips
- The two halves print flat side down, without supports.
- Superglue works for PLA and PETG. Clamp the halves with tape while it sets.
- The Menger sponge prints as it stands: its holes are bridges. Use 0.2 mm layers and full cooling.
Helpful guides
Frequently asked questions
What is special about the oloid?
As it rolls, every point of its surface touches the table. It was discovered by Paul Schatz in 1929.
How do I join the sphericon?
Turn one half a quarter turn before gluing: the flat faces are squares, so they match in two ways. A quarter turn off makes the sphericon; lined up it is a plain double cone.
