symmetry

Invariance under transformation

Symmetry is balance achieved through corresponding parts—elements that mirror, repeat, or match across a dividing line or central point.

A butterfly's wings have bilateral symmetry; a snowflake has radial symmetry.

The concept extends beyond geometry: the symmetry of their relationship, a pleasing symmetry between the book's opening and closing chapters.

In physics, symmetry describes invariance under transformation—properties that remain unchanged when a system is rotated, reflected, or shifted.

geometric

bilateral

Involving two parties

radialEmanating from center
rotationalConcerning circular movement
axisRotation reference line

plane · reflection · mirror · transformation · translation · tessellation · congruence · invariance · isometry · mapping

nature

butterfly

Winged insect from caterpillar

snowflakeFeathery ice crystal
crystalOrdered-atom solid
flowerPlant's reproductive organ

shell · spiral · honeycomb · starfish · leaf · petal · fractal · bilateral · radial · self-similarity

balance

equilibrium

State of balance

proportionComparative relation of parts
harmonyAgreement or musical blend
stabilityResistance to displacement

evenness · poise · equipoise · counterbalance · regularity · order · alignment · centering · equality · uniformity

aesthetic

beauty

Aesthetic excellence

proportionComparative relation of parts
harmonyAgreement or musical blend
compositionArranged elements forming whole

balance · elegance · order · form · design · pattern · classical · architecture · rhythm · repetition

physics

conservation

Preventing waste or loss

parityState of being equal
chargeCost or accusation
CPTAbbreviated military rank

gauge · breaking · quantum · particle · chirality · spin · field · antimatter · invariance · spontaneous

mathematical

group

Assembled collection of things

invariantRemaining always constant
transformationThorough change in form
algebraMath using symbols

operation · mapping · permutation · matrix · equation · function · topology · set · combinatorics · isomorphism

Categories

beautymakeup, cosmetics, lipstick, mascara, eyeliner
geometry termscircle, line, rectangle, side, square
pattern recognitioncolor matching, geometric patterns, tessellations, repetition, mirror images
patternspattern, chevron, geometric pattern, stripes, plaid
balanceequilibrium, balancing, harmony, stability, posture
drawing basicspencil sketching, basic shapes, line drawing, shading, shading techniques

Opposites

balance and proportion

symmetryasymmetry

Absence of balanced form

imbalance · disproportion · lopsidedness · unevenness · skewness

order and regularity

symmetryirregularity

Departure from standard

chaos · randomness · disorder · disorganization · shapelessness

harmony and coherence

symmetrydisharmony

Absence of agreement

discordance · incongruity · dissonance · incoherence · disunity

Phrases

bilateral symmetryEqual halves along midline
radial symmetryArrangement around central axis
mirror symmetryCongruence through reflection
facial symmetryEven feature distribution
CPT symmetryCombined discrete transformation invariance
symmetrical designPattern mirroring itself

Family

asymmetrical, symmetrical, symmetric, asymmetry, asymmetric, symmetrically, asymmetrically, symmetries, supersymmetry

Familiarity: Top 50,000
Profile: Known to kids · Used worldwide · Timeless · Abstract · Everyday, not technical · Rated G