This is categorically different from the Gömböc, because it doesn't have uniform density. Most of its mass is concentrated in the base plate.
> This tetrahedron, which is mostly hollow and has a carefully calibrated center of mass
Uniform density isn't an issue for rigid bodies.
If you make sure the center of mass is in the same place, it will behave the same way.
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Wild prices for gömböcs on Amazon.