In geometry, a torus (pl.: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanar with the circle. …

A torus (plural: tori or toruses) is a tube shape that looks like a doughnut or an inner tube. In geometry, a torus is made by rotating a circle in three dimensional space. To make a torus, the …

A solid torus is a torus plus the volume inside the torus. Real-world objects that approximate a solid torus include O-rings, non-inflatable lifebuoys, ring doughnuts, and bagels.

The three-dimensional torus, or 3-torus, is defined as any topological space that is homeomorphic to the Cartesian product of three circles, In contrast, the usual torus is the Cartesian product of …

A torus is a type of toroid. In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. …

Jan 31, 2025 · An (ordinary) torus is a surface having genus one, and therefore possessing a single "hole" (left figure). The single-holed "ring" torus is known in older literature as an …

In mathematics, an algebraic torus, where a one dimensional torus is typically denoted by , , or , is a type of commutative affine algebraic group commonly found in projective algebraic geometry …

The Stanford torus is a proposed NASA design [1] for a space settlement capable of housing 10,000 to 140,000 permanent residents. [ 2 ] The Stanford torus was proposed during the …

Dec 17, 2019 · A torus is a special case of a surface of revolution and of a canal surface. From the topological point of view, a torus is the product of two circles, and therefore a torus is a two …

Mar 26, 2009 · In geometry, a torus (pl. tori) is a surface of revolution generated by revolving a circle in three dimensional space about an axis coplanar with the circle, which does not touch …