A new pyramid-like shape always lands the same side up

Worst D-4 ever! But more seriously, I wonder how closely you could get to an non-uniform mass polyhedra which had 'knife edge' type balance. Which is to say;

1) Construct a polyhedra with uneven weight distribution which is stable on exactly two faces.

2) Make one of those faces much more stable than the other, so if it is on the limited stability face and disturbed, it will switch to the high stability face.

A structure like that would be useful as a tamper detector.

  >useful as a tamper detector

If anyone's actually looking for this, check out tilt and shock indicators made for fragile packages.

https://www.uline.com/Cls_10/Damage-Indicators

https://www.youtube.com/watch?v=M9hHHt-S9kY

These shock watches and tilt watchers are quite expensive. I wonder how much must be the package worth to be feasible to use this kind of protection