In 2006 a set of specialised nodes for creating simple shapes such as: Sphere, Cylinder, Cone, Torus, Box and Bézier Lathe were added to make Seamless3d easier for the novice to quickly make simple models.
Clifford torus | Joint European Torus | Torus Games | Torus | torus |
The MTA-2 was an attempt to correct these problems while maintaining essentially the same processor architecture respun in one silicon ASIC, down from some 26 gallium arsenide ASICs in the original MTA; and while advancing the network design from a 4-D torus topology to a more scalable Cayley graph topology.
A flat torus can be isometrically embedded in three-dimensional Euclidean space with a C1 map (by the Nash embedding theorem) but not with a C2 map, and the Clifford torus provides an isometric analytic embedding of a flat torus in four dimensions.
A gas torus is the setting for Larry Niven's novels The Integral Trees and The Smoke Ring, wherein a gas giant orbiting a neutron star generates a gas torus dense enough for (even human) life; this arrangement is implausible in reality.
The coefficient before is in fact the Euler characteristic of the sphere (for the torus it vanishes).
In complex dimension 2, the only complex nilmanifolds are a complex torus and a Kodaira surface.
Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative tori, and as such they are fundamental examples of a noncommutative space in the sense of Alain Connes.
Villarceau circles, a pair of circles found in an obliquely cut torus, which are named after him