You can make a fair die with more faces in principle: take two 100-sided pyramids and glue them base to base to make a d200. The problem with doing this in real-life is that it becomes impossible to tell which side is up - we tested a 3D printed d100 designed like this, but the angle between faces is so shallow that it doesn’t show a choice of number well, and the slightest rounding of the die makes it into two cones. The d120 is a little tricky to read, but it is much easier in person - it’s harder to tell from a photo or video.
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