In four-dimensional geometry, the spherinder, also called the spherical cylinder or spherical prism, is a geometric object defined as the Cartesian product of a solid 3-ball of one radius and a line segment of another length. It is analogous to an ordinary cylinder in three-dimensional space, which is itself the Cartesian product of a disk with a line segment, and like the duocylinder it is classified as both a rotatope and a toratope. A spherinder can be visualized in three-dimensional space through stereographic projection as two concentric spheres, in the same way a tesseract projects as two concentric cubes and an ordinary circular cylinder projects into two dimensions as two concentric circles.
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1. Spherinder (Wikipedia)
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In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cartesian product of a 3-ball (or solid 2-sphere) of radius r1 and a line segment of length 2r2: D = { ( x, y, z, w) | x 2 + y 2 + z 2 ≤ r 1 2, w 2 ≤ r 2 2 } {\displaystyle D=\{(x,y,z,w)|x^{2}+y^{2}+z^{2}\leq r_{1}^{2},\ w^{2}\leq r_{2}^{2}\}} Like the duocylinder
In Branch: Geometry, Lead sentence
In four-dimensional geometry, the spherinder, or spherical cylinder or spherical prism, is a geometric object, defined as the Cart
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