solid torus
A "solid torus" is a three-dimensional shape that can be visualized as a filled doughnut, commonly studied in geometry and topology.
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Definition
C1Geometry
(technical, academic)A three-dimensional shape formed by rotating a disk around an axis that lies in the same plane as the disk, encompassing the volume inside.
Example
- A ring doughnut is a real-world example of a solid torus.
- In geometry class, we studied the properties of a solid torus.
C2Topology
(technical, academic)A space that is equivalent to the Cartesian product of a disk and a circle.
Example
- The solid torus is a fundamental object in the study of three-dimensional manifolds.
- Understanding the solid torus helps in grasping more complex topological spaces.
Similar
Terms that have similar or relatively close meanings to "solid torus":