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Group theory is of particular significance to the study of objects having plenty of symmetry. The sphere is a good example; its self-equivalences include arbitrary rotations in three dimensions about the centre.
Notice that for any two points on the sphere, there is a self-equivalence (i.e., rotation) taking one of the points to the other.
The sphere is homogeneous, a technical word meaning "having lots of symmetry"! A special role is played by the set of self-equivalences fixing a single point (in this case, the rotations about a fixed axis); it is called the isotropy subgroup of the symmetry.
Wiki User
∙ 16y ago
Wiki User
∙ 14y agoA figure that has infinite equidistant points in three dimensions from a specified center.
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How many lines of symmetry have a sphere?
A sphere has an infinite number of lines of symmetry
Which object has no lines symmetry?
Sphere
How many planes of symmetry does a sphere have?
A sphere has an infinite number of planes of symmetry. The plane must include the center of the sphere, but it can tilt at any angle. The question is the same as asking "How many planes can be drawn through one point ?" The answer is: An infinite number. And as long as the point is the center of the sphere, each plane is a plane of symmetry of the sphere.
What figure has a rotational symmetry?
a circle or a sphere
What figure has rotational symmetry?
A sphere has rotational symmetry of an infinite degree.
How many lines of symmetry does a ball have?
A ball (sphere) has an infinite number lines of symmetry.
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 many line of symmetry does the sphere has?
It have a ninfinite number...
How many lines of symmetry does a sphere have?
A sphere has an infinite number of lines of symmetry. It can be split in any direction from any angle, and the resulting parts will be symmetrical.
What four sided shape has 896 line of symmetry?
sphere
How many points of symmetry does a sphere have?
Only one - its centre.
Does a sphere have a line of symetry?
Yes, it has infinite numbers of lines of symmetry.
