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How many rotational symmetries does a sphere has?

Infinitely many.


Describe all of the point symmetries that a sphere would have?

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.


How can you find the normal to a point on a sphere at any arbitrary point on the sphere?

It's the extension of the sphere's radius drawn to that point.


Will the intersection of a plane and a sphere always be a circle or can it be a point also?

It will be a point if the plane is tangent to the sphere.


What is the singular of symmetries?

The singular form of the plural noun symmetries is symmetry.


Segment joining the center to a point on a sphere?

It is the radius of the sphere


What do you call the distance from the center of the sphere to a point on the sphere?

The radius


When was Fearful Symmetries - novel - created?

Fearful Symmetries - novel - was created in 1999.


Properties of a sphere?

Every point on the surface of a sphere is the same distance from a fixed point in 3-dimensional space.


How is the word 'sphere' defined?

A sphere is a solid figure in which every point is equidistant from a fixed point called the center.


What is a set of point equidistant from a given point?

sphere


What is the point group of square?

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.