toroidal

Thân thiện

A mathematician holds a toroidal model in the classroom.

Definition

Adjective: 1. Having the shape of a toroid; doughnut-shaped: Describes something that has the form of a torus, which is a surface or solid generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. A common, simple example is a ring doughnut or a lifebuoy.

Usage

The adjective "toroidal" is used to describe the geometry or shape of an object. It is a technical term common in mathematics, physics, and engineering. - It modifies a noun to indicate that the noun's shape is like a doughnut. - It can describe physical objects, magnetic fields, or abstract geometric forms.

Examples

• Scientific Context:
  • The reactor uses a toroidal chamber to confine the plasma. (The chamber for the plasma has a doughnut shape.)
  • A toroidal magnetic field is essential for the stability of the fusion experiment. (The magnetic field has a doughnut-like structure.)
• General Description:
  • The artist created a beautiful toroidal sculpture from metal. (The sculpture was shaped like a ring.)

Advanced Usage

• "Toroidal Coordinates": A coordinate system based on the geometry of a torus.
  • The problem was solved more elegantly using toroidal coordinates.
• "Toroidal Transformer": A type of electrical transformer wound on a ring-shaped (toroidal) core.
  • A toroidal transformer is often more efficient and has less stray magnetic field.

Variants and Related Words

• Torus (noun): The geometric shape; a surface of revolution generated by revolving a circle in three-dimensional space.
  • The volume of a torus can be calculated using a specific formula.
• Toroid (noun): More general than "torus"; can refer to any doughnut-shaped object, including a coil wound in that shape.
  • The electromagnet was wound in a toroid.

Synonyms

• Annular: Ring-shaped. (Note: "Annular" often describes a flat ring or disc with a hole, like a washer, while "toroidal" implies a three-dimensional, rounded ring shape.)
• Doughnut-shaped: Informal, non-technical synonym.
• Ring-shaped: A more general term.

Antonyms

• Linear: Arranged in or extending along a straight line.
• Planar: Relating to or in the form of a flat plane.
• Spherical: Shaped like a sphere or ball.

Học thuật

Adjective

1. of or relating to or shaped like a toroid; doughnut shaped