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A sphere is characterized by a very unique point group known as R3 (Full Rotation Group). A sphere has an infinite number of C2, C3, etc. up to Cinfinity as well as Cinfinite perpendicular axes and an infinite number of mirror planes on every plane and in between each plane. A sphere even has Sinfinity operations and multiple inversion operations. Every symmetry operation known is able to be performed on a sphere an infinite number of times in all directions.
No molecules actually fit into the R3 symmetry group and in fact, only objects, images, and atoms fit into this category.
Sources: Advanced Inorganic Chemistry student
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Properties of a sphere?
Every point on the surface of a sphere is the same distance from a fixed point in 3-dimensional space.
Does a sphere have lateral area?
It is incorrect to say that sphere has lateral area. First sphere do not have sides like other geometric figure. In fact a line or plane can intersect the surface of a sphere in just one point. Sphere has no lateral side. It is enough to say surface area of sphere than lateral surface area of the sphere.
A solid figure that is the set of all points and that are the same distance from a given point is what?
A sphere
What is a round three dimensional object where all points on the surface are an equal from its center point?
A sphere, globe, or ball.If the word missing from the question is "distance",then the object is a sphere,
What is the difference between a circle and a sphere?
A circle is two dimensional; a sphere is three dimensionalAnswerA circle is a simple shape consisting of points in a plane (flat surface) which are equidistant from a given point called the center. A sphere is a perfectly round geometrical object in three-dimensional space, such as the shape of a round ball. Like a circle in three dimensions, a perfect sphere is completely symmetrical around its center, with all points on the surface lying the same distance r from the center point.
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.
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
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 intersection of the sphere with the yz plane?
The intersection of a sphere with a plane is a point, or a circle.
What Is a segment whose endpoints are the center of the sphere and a point on the sphere?
A radius; considering a sphere is a 3-D version of a circle.
What is the precise definition of the word centres?
The precise definition of the word 'centres' is the middle point of a circle or a sphere. This means the point is an equal distance from every point on the circle/sphere.
How many point in an orange?
omg theres no point its a sphere stupid
How do you find base of a sphere with a given volume?
The base of a sphere is a single point: with no length or breadth.
