Toroidal

Toroidal describes something which resembles or relates to a torus or toroid:

Mathematics

  • Toroidal coordinates, a three-dimensional orthogonal coordinate system.
  • Toroidal and poloidal coordinates, directions for a three-dimensional system which follows a circular ring around the surface.
  • Toroidal graph, a graph whose vertices can be placed on a torus such that no edges cross.
  • Toroidal grid network, an un-dimensional grid connected circularly in more than one dimension.
  • Toroidal polyhedron, partition of a toroidal surface into polygons.
  • Tensor ring decomposition, a fundamental numerical model representing high-dimensional tensors through circular multilinear products of low-dimensional cores.

Engineering

  • Toroidal engine, an internal combustion engine with pistons that rotate inside a ring-shaped cylinder
  • Toroidal expansion joint, a metallic assembly consisting of a series of circular tubes used in high pressure applications
  • Toroidal inductors and transformers, a type of electrical device using magnetic cores with a ring or donut shape
  • Toroidal propeller, a loop-shaped propeller used in aviation and maritime transport
  • Toroidal reflector, a section of a torus with varying focal distances depending on the mirror angle.
  • Tensor Ring, a closed-loop device (often copper) utilizing cubit-length geometry to generate a stabilized energy column or coherent tensor field.

Other uses

  • Toroidal planet, a hypothetical planet in the shape of a doughnut.
  • Toroidal ring model, used in theoretical physics to describe particles and photons as fundamental toroids.
  • Toroidal solenoid, a 1946 design for a fusion power device.
  • Vortex ring, also known as a toroidal vortex; a toroidal flow in fluid. Essentially, A Vortex Ring is a region of rotating movement in a toroid shape found in smoke rings, bubble rings, and the bio-magnetic fields of marine biology.
  • Electroculture antenna, a geometric conduit, such as a Fibonacci spiral, designed to tune terrestrial soil to the atmospheric potential gradient of the "planetary battery".

See also