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Volumes of balls in dimensions 0 through 25; unit ball in red. In geometry, a ball is a region in a space comprising all points within a fixed distance, called the radius, from a given point; that is, it is the region enclosed by a sphere or hypersphere. An n-ball is a ball in an n-dimensional Euclidean space.
Any closed topological n-ball is homeomorphic to the closed n-cube [0, 1] n. An n-ball is homeomorphic to an m-ball if and only if n = m. The homeomorphisms between an open n-ball B and R n can be classified in two classes, that can be identified with the two possible topological orientations of B. A topological n-ball need not be smooth; if it ...
Modern-day Spaldeen. A Spalding Hi-Bounce Ball, often called a Spaldeen or a Pensie Pinkie, is a rubber ball, described as a tennis ball core without the felt. [1] These balls are commonly used in street games developed in the mid-20th century, such as Chinese handball (a variation on American handball), Australian Handball, stoop ball, hit-the-penny (involving trying to make a penny flip on a ...
Suppose that the axis of a right circular cylinder passes through the center of a sphere of radius and that represents the height (defined as the distance in a direction parallel to the axis) of the part of the cylinder that is inside the sphere. The "band" is the part of the sphere that is outside the cylinder.
An unit ball is the region inside of a unit sphere, the set of points of distance less than 1 from the center. A sphere or ball with unit radius and center at the origin of the space is called the unit sphere or the unit ball.
The ball used in candlepins has a maximum weight of 2 lb 7 oz (1.1 kg), and has a diameter of 4.5 in (11 cm), [1] making it the smallest bowling ball of any North American bowling sport. The nearly identical weight of the ball, when compared to that of just one candlepin 2 lb 8 oz (1.1 kg), [ 1 ] causes balls to deflect when impacting either ...
In geometry, the Chebyshev center of a bounded set having non-empty interior is the center of the minimal-radius ball enclosing the entire set , or alternatively (and non-equivalently) the center of largest inscribed ball of .
In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, [1] is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex , forming a pattern similar to a conventional soccer ball ( truncated icosahedron ) with heptagons in place of pentagons .