KnowraTorusLinked fromLinked fromThe 12 pages that link to Torus, each with the reason it gives.All 12Broader topic 6Related 4Narrower topic 1Compared with 1Euler characteristicRelated: Its Euler characteristic is zero, contrasting with the sphere’s value.Topological spaceBroader topic: The torus shows how product constructions yield spaces with distinctive global structure.Gaussian curvatureBroader topic: Its curvature changes sign between the outer and inner regions.HomeomorphismRelated: A coffee mug with one handle is often modeled by a surface homeomorphic to a torus.ManifoldBroader topic: The torus shows how a surface can have a handle while remaining locally planar.Periodic boundary conditionRelated: Identifying opposite domain edges gives a periodic interval or box torus topology.Riemann sphereCompared with: Unlike the sphere, it has a handle and cannot be identified with the complex plane plus one point.Flat torusNarrower topic: The lattice quotient has torus topology even though its local geometry is Euclidean.Surface of revolutionBroader topic: It is the characteristic result when the generating circle misses the axis.Pappus's centroid theoremBroader topic: Rotating a disk around an external axis produces a solid torus.Lonely runner conjectureRelated: Multiple positions modulo one can be represented as coordinates on a torus.Two-dimensional spaceBroader topic: It is a curved two-dimensional space with a handle-shaped global structure.