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.
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.
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.'