Because it has equilateral triangles.
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Statistically speaking, the mean is the most stable from sample to sample. Whereas, the mode is the least stable statistically speaking from sample to sample.
The question is not clear. Hardest, as in the most rigid, is a triangular prism (or tetrahedron). Hardest, to work the geometry of, is probably an irregular blob.
The most simple pyramid is a tetrahedron. This pyramid has four faces, all triangles. If the pyramid was a cone then it could have two faces.
Possibly, the most common and stable isotope of Nitrogen.
a pyramid, in the sense that most people think of has a square base, with 4 triangle 'sides', which would be 5 faces. A regular tetrahedron has 4 equilateral triangles as faces.