I'm not sure, but I would imagine they would be 360O around the point and only in the same plane.
A sphere would fit the given description.
To place four points equidistant from each other, you would need to arrange them in the shape of a perfect square. This means that each point would be the same distance away from the other three points, forming equal sides of the square. The distance between each point can be calculated using the Pythagorean theorem if the coordinates of the points are known.
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
These points are called antinodes.
It is a circle or a sphere that fits the given description
Sphere?
That's a sphere whose radius is the constant equal distance.
A sphere.
Sphere
The point in a circle from which all other points are equidistant is called the center. The distance from the center to any point on the circle is known as the radius. This property defines the geometric nature of a circle in Euclidean space.
A sphere would fit the given description.
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.
A set of points that are equidistant from a fixed point, known as the center, forms a geometric shape called a circle. In a two-dimensional plane, all points on the circle are the same distance from the center, which is defined as the radius. This concept can be extended to higher dimensions, where the set of points equidistant from a center forms a sphere in three-dimensional space.
A plane midway between the two given planes and parallel to them.
A point is not a circle. A point has no dimensions, it is a single, exact location in space. A circle is defined as the set of all points equidistant from some central point.
The set of all points in space that are the same distance from a given point is called a sphere.
A spherical surface, with its center at the given point, and its radius equal to the given distance.