isometry
Rigid motion mapping
An isometry is a transformation that preserves distances—the shape and size of a figure remain unchanged.
In geometry, reflections, rotations, and translations are isometries: The reflection across the y-axis is an isometry.
In exercise physiology, isometric contractions involve muscle tension without movement—the muscle length stays constant: isometric exercises, an isometric hold.
Turning on an axis
- reflectionReturned light or thought
- translationConverting between languages
- congruenceState of agreement
- orientationPosition relative to surroundings
fixed point · mirror · flip · turn · slide · axis · perpendicular · symmetry
State of agreement
- similarityState of being alike
- triangleThree-sided plane figure
- polygonMultisided plane figure
- angleGeometric measure of rotation
vertex · parallel · perpendicular · shape · figure · plane · solid · circle
Space between two points
- preservationMaintaining something's condition
- embeddingPlacing within surrounding mass
- contractionReduction in size
- expansionIncrease in scope
norm · length · geodesic · complete · compact · bounded · uniform
Structure-preserving bijective map
- groupAssembled collection of things
- structure-preservingMaintains relational organization
- equivalenceState of being equal
- mappingDiagram of correspondences
Flat timber piece
- wall sitIsometric leg exercise
- muscle tensionSustained fiber contraction
- strength trainingBuilding muscle through resistance
- resistanceCapacity to withstand force
squeeze · hold · bodybuilding · physical therapy · rehabilitation · toning
rotation
Turning on an axis
- reflectionReturned light or thought
- translationConverting between languages
- congruenceState of agreement
orientation · fixed point · mirror · flip · turn · slide · axis · perpendicular · symmetry · preserve
congruence
State of agreement
- similarityState of being alike
- triangleThree-sided plane figure
- polygonMultisided plane figure
angle · vertex · parallel · perpendicular · shape · figure · plane · solid · circle · sphere
distance
Space between two points
- preservationMaintaining something's condition
- embeddingPlacing within surrounding mass
- contractionReduction in size
expansion · norm · length · geodesic · complete · compact · bounded · uniform
isomorphism
Structure-preserving bijective map
- groupAssembled collection of things
- structure-preservingMaintains relational organization
- equivalenceState of being equal
mapping · function · correspondence · permutation · linear
plank
Flat timber piece
- wall sitIsometric leg exercise
- muscle tensionSustained fiber contraction
- strength trainingBuilding muscle through resistance
resistance · squeeze · hold · bodybuilding · physical therapy · rehabilitation · toning
isometrycontraction
Reduction in size
dilation · scaling · expansion · stretch · compression
isometrydeformation
Change in shape
distortion · warping · morphing · shearing · stretching
- isometric holdSustained muscular contraction without movement
- isometric view3D depiction with equal axis angles
- isometric drawingTechnical illustration without perspective