A brand new CAR
Infinitely many.
A sphere has one point of symmetry (at its very center) if one considers rotational symmetry in its three dimensions. If one is only considering reflectional symmetry, it would have an infinite number of lines of symmetry.
It's the extension of the sphere's radius drawn to that point.
It will be a point if the plane is tangent to the sphere.
The singular form of the plural noun symmetries is symmetry.
It is the radius of the sphere
The radius
Fearful Symmetries - novel - was created in 1999.
Every point on the surface of a sphere is the same distance from a fixed point in 3-dimensional space.
A sphere is a solid figure in which every point is equidistant from a fixed point called the center.
sphere
The point group of a square is (D_{4h}). This group includes the symmetries of the square, which consist of rotations (90°, 180°, and 270°) and reflections (through the diagonals and the midpoints of the sides), as well as an inversion center. The presence of both rotational and reflectional symmetries characterizes it as a dihedral group with horizontal mirror symmetry.