isometry

[ahy-som-i-tree]

isometry Definition

the property of a figure or body that is unaltered by a change in size or shape.

Using isometry: Examples

Take a moment to familiarize yourself with how "isometry" can be used in various situations through the following examples!

  • Example

    The isometry of the cube means that it looks the same from any angle.

  • Example

    The isometry of the rectangle allows it to be rotated without changing its appearance.

  • Example

    The isometry of the sphere means that it has the same shape and size no matter how it is oriented.

isometry Synonyms and Antonyms

Synonyms for isometry

Phrases with isometry

  • a transformation that preserves the distance between points

    Example

    An isometry transformation can be a translation, rotation, or reflection.

  • a group of transformations that preserve the distance between points

    Example

    The isometry group of a square includes rotations and reflections.

  • the property of a function or equation that remains unchanged under an isometry transformation

    Example

    The equation for the area of a circle has isometry invariance because it remains the same under any rotation or reflection of the circle.

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Summary: isometry in Brief

'Isometry' [ahy-som-i-tree] refers to the property of a figure or body that remains unchanged by a change in size or shape. This property is also known as symmetry, uniformity, or consistency. Examples include the isometry of a cube, which looks the same from any angle, and the isometry of a sphere, which has the same shape and size no matter how it is oriented. Isometry can be described using phrases like 'isometry transformation,' 'isometry group,' and 'isometry invariance.'