How many symmetry lines does a hexagonal pyramid have?

Answer 1

Ah, a hexagonal pyramid is a beautiful shape indeed! It has 9 symmetry lines that run through its center, creating balance and harmony in its form. Just like painting a happy little tree, each symmetry line adds to the unique charm of the hexagonal pyramid.

Answer 2

There is, as far as I can tell, only one "line" of symmetry: the sixfold rotational axis passing through the vertex and the center of the base. In addition, there are six planes of symmetry; three that pass through opposite vertices of the hexagon and three that pass through the midpoints of the sides of the hexagon. For any pyramid in which the base is a regular polygon with n sides and the apex is above the centre of the polygon, there are nplanes of symmetry (for an even-sided polygon, half the planes pass through opposite vertices and half of them pass through the midpoints of opposite sides; for an odd-sided polygon, each plane passes through one vertex and the midpoint of the opposite side). A hexagon has six sides, so it has six planes of symmetry.