Difference Between

Difference Between Concave and Convex

Nex Virox Team
Written byNex Virox Team
Editorial Team
Varshal Nirbhavane
Senior SEO & Organic Growth Professional · 5+ years
20 min read
Quick answer

The main difference between Concave and Convex is the direction of the curve relative to the viewer. Concave curves inward like a bowl or cave, while Convex curves outward like a dome or the exterior of a sphere. A concave mirror focuses light; a convex mirror spreads light.

Key takeaways

  • Core distinction: Concave curves inward like a bowl, while convex curves outward like a dome.
  • How each works: Concave mirrors converge light rays to a focal point; convex mirrors diverge them.
  • Lens behavior: Concave lenses spread light for nearsightedness correction; convex lenses magnify for farsightedness.
  • Best-fit use case: Convex mirrors provide wide-angle views in parking lots; concave dishes focus satellite signals.
  • Common mistake: Confusing "caving in" (concave) with "bulging out" (convex) reverses optical outcomes.

Difference Between Concave and Convex: Comparison Table

AspectConcaveConvex
DefinitionCurves inward like a cave, with the center recessed relative to edges.Curves outward like a dome, with the center raised relative to edges.
PurposeConverges light rays to a single focal point for magnification or focusing.Diverges light rays outward, spreading them for wider field of view.
Core MechanismReflects or refracts light inward toward a central axis, reducing image size.Reflects or refracts light outward from a central axis, increasing image size.
Lens ShapeThinner at center than at edges, resembling a bowl or saucer shape.Thicker at center than at edges, resembling a lentil or football shape.
Mirror ShapeReflective surface curves inward, like the inside of a spoon bowl.Reflective surface curves outward, like the back of a spoon.
Focal LengthPositive focal length for converging lenses; negative for diverging mirrors.Negative focal length for diverging lenses; positive for converging mirrors.
Image FormationProduces virtual, upright, magnified images when object is within focal length.Produces real, inverted, diminished images when object is beyond focal length.
Light BehaviorBends parallel light rays inward to meet at a real focal point.Bends parallel light rays outward so they appear to originate from a virtual point.
Common Use - LensesUsed in magnifying glasses, eyeglasses for nearsightedness, and camera close-up lenses.Used in eyeglasses for farsightedness, telescopes, and projector lenses.
Common Use - MirrorsUsed in shaving mirrors, makeup mirrors, and dentist examination mirrors for magnification.Used in vehicle side mirrors, security mirrors, and wide-angle rearview mirrors.
Vehicle MirrorsRarely used in vehicles; produces upright magnified images for close inspection.Passenger-side mirrors use convex shape to reduce blind spots by widening view.
Optical InstrumentsFound in compound microscopes as objective lenses to magnify small specimens.Found in binoculars and refracting telescopes to gather and focus distant light.
Image SizeProduces magnified images when object is close; reduces image when object is far.Produces reduced images for distant objects; magnifies when object is very close.
Field of ViewNarrower field of view due to light convergence toward a central point.Wider field of view (up to 180 degrees) due to light divergence outward.
Focal Point TypeReal focal point for converging lenses; virtual focal point for diverging mirrors.Virtual focal point for diverging lenses; real focal point for converging mirrors.
Astronomical UseNot typically used in primary telescope mirrors; used in secondary Cassegrain mirrors.Primary mirrors in reflecting telescopes (e.g., Hubble) use concave parabolic shape.
Eyeglass CorrectionCorrects myopia (nearsightedness) by diverging light before it enters the eye.Corrects hyperopia (farsightedness) by converging light before it enters the eye.
Solar ApplicationsConcave mirrors concentrate sunlight to a point for solar furnaces and cookers.Convex mirrors cannot concentrate sunlight; they scatter it over a wide area.
Camera LensesUsed in telephoto lens elements to extend focal length and magnify distant subjects.Used in wide-angle lens elements to capture broader scenes in limited space.
Projection SystemsNot standard for projectors; concave elements can distort projected images.Convex condenser lenses focus projector light evenly onto the film or digital panel.
Headlight DesignConcave reflectors in car headlights focus light into a narrow, directed beam.Convex lenses in some headlights spread light for broader, shorter-range illumination.
Sound ReflectionConcave surfaces focus sound waves to a point, creating acoustic hotspots.Convex surfaces scatter sound waves, reducing echo and softening acoustics.
Architectural UseConcave facades or ceilings focus light and sound; used in whispering galleries.Convex domes distribute light and sound evenly; used in auditorium ceilings.
Magnification PowerProvides magnification up to 10x for close objects; diminishes with distance.Provides minification (reduction) for distant objects; no magnification capability.
Image OrientationUpright virtual image when object inside focal length; inverted real image beyond.Upright virtual image always for convex mirrors; inverted real image for convex lenses.
Manufacturing ComplexityRequires precise grinding of inward curve; more complex for large diameters.Simpler to grind outward curve; standard process for most optical elements.
Distortion TypeProduces barrel distortion at edges when imaging flat objects at close range.Produces pincushion distortion at edges when imaging flat objects at close range.
Safety ApplicationsUsed in dental mirrors for intraoral inspection; no safety traffic role.Used in blind-spot mirrors at intersections and parking garage exits for safety.
Best-Fit ScenarioIdeal for magnification tasks: makeup mirrors, reading lenses, and solar concentration.Ideal for wide-angle viewing: vehicle mirrors, security surveillance, and room peepholes.

What Is Concave?

Concave describes a surface or curve that bows inward, like the inside of a bowl or a cave. This shape directs energy or light toward a central focal point. Concave geometry exists to concentrate, collect, or amplify incoming forces, making it essential in optics, acoustics, and structural design.

Definition of Concave

Concave is a geometric property where a curve or surface curves inward relative to an observer, forming a hollow region. Mathematically, a concave function lies below any chord connecting two points on its graph. In practical terms, the interior space is recessed, while the exterior edge protrudes outward.

Key Characteristics of Concave

CharacteristicWhat It Means in Practice
Inward curvatureThe surface dips toward the center, creating a hollow or scooped-out appearance that collects light or sound.
Focal point convergenceParallel rays (light, sound, or heat) reflect or refract to meet at a single point, enabling magnification or concentration.
Thinner centerIn lenses, the middle is thinner than the edges, which spreads light outward when used as a diverging lens.
Negative focal lengthFor concave mirrors, the focal length is negative by convention, meaning the focus lies in front of the reflective surface.
Symmetry axisMost concave shapes have a central axis where curvature is maximal, simplifying optical and mechanical calculations.
Recessed interior volumeThe hollow interior can hold liquids, gases, or objects, as seen in spoons, bowls, and architectural domes.
Energy amplificationSound waves reflect off concave walls to amplify volume, which is why whispering galleries and parabolic microphones work.
Image formationConcave mirrors produce real, inverted images when objects are beyond the focal point, or virtual, upright images when closer.
Structural weakness in compressionUnlike convex shapes, concave forms resist tension poorly under heavy loads, often requiring reinforcement ribs.
Light divergence in lensesA concave lens always produces a virtual, upright, and diminished image, regardless of object distance.

Common Examples of Concave

  • Spoon bowl – The inner curved surface holds food and reflects an inverted, magnified image of your face.
  • Concave mirror in telescopes – Collects faint starlight and focuses it to a point for detailed astronomical observation.
  • Shaving or makeup mirror – Magnifies facial features by placing your face inside the focal length for a virtual image.
  • Concave lens in eyeglasses – Corrects nearsightedness by diverging light rays before they enter the eye.
  • Satellite dish antenna – Reflects incoming radio waves to a central receiver, boosting weak signals from space.
  • Cave entrance – Natural rock formations curve inward, creating sheltered hollows that block wind and rain.
  • Whispering gallery dome – Sound waves travel along the concave ceiling, allowing whispers to be heard across the room.
  • Contact lens interior – The inner concave surface fits the cornea's curve, while the outer convex side corrects vision.
  • Bowl or cup interior – Holds liquids and solids securely due to the inward-curving walls that prevent spillage.
  • Parabolic solar cooker – Concentrates sunlight onto a central pot, reaching high temperatures for cooking without fuel.

Advantages and Limitations of Concave

AdvantagesLimitations
Concentrates light or sound to a single point, enabling high-energy applications like solar furnaces and hearing aids.Produces distorted, inverted images for objects beyond the focal point, limiting direct viewing applications.
Creates magnified virtual images when objects are placed inside the focal length, useful for personal grooming.Requires precise curvature control; minor manufacturing errors cause significant image blur or focus shift.
Collects weak signals from vast areas, as in radio telescopes and satellite dishes, improving detection sensitivity.Vulnerable to dust and scratches on the reflective surface, which scatter light and reduce efficiency dramatically.
Amplifies sound naturally without electronics, as seen in ancient amphitheaters and modern parabolic microphones.Focuses only parallel incoming rays; off-axis light or sound creates coma aberration and blurry edges.
Lightweight and compact for optical devices, since concave lenses are thinner at the center than convex equivalents.Cannot form real images for projection; concave lenses always produce virtual images that cannot be projected on screens.
Provides ergonomic holding surfaces, like cupped hands or chair seats, that cradle objects or people securely.Structural weakness under compression; concave shells buckle more easily than convex domes under uniform pressure.
Enables non-invasive medical diagnostics, such as otoscope mirrors that focus light into narrow ear canals.Limited field of view; concave mirrors show only a small area clearly, requiring movement to scan large scenes.
Reduces material usage in packaging, as concave indentations strengthen containers while using less plastic.Heat concentration can cause fire hazards if misaligned, as seen with concave mirrors focusing sunlight on flammable objects.
Improves aerodynamic drag in certain designs, like concave dimples on golf balls that reduce turbulence.Difficult to clean thoroughly; recessed surfaces trap dirt, requiring specialized tools for maintenance.
Creates aesthetic depth and shadow in architecture, adding visual interest to facades and interior ceilings.Increases manufacturing cost due to precision grinding or molding requirements compared to flat surfaces.

What Is Convex?

Convex describes a surface or curve that bulges outward, away from an interior point. A convex shape holds no indentations, so any straight line connecting two points inside it remains entirely within the shape. This property makes convex forms structurally efficient, directing external forces evenly across their surface.

Definition of Convex

In geometry, a set is convex if, for any two points within it, the entire line segment joining them also lies inside the set. For a curve, convexity means the slope increases monotonically, creating a bowl-like or dome-like profile. Mathematically, a function is convex when its second derivative is non-negative across its domain.

Key Characteristics of Convex

CharacteristicWhat It Means in Practice
Outward bulgingThe surface protrudes toward the viewer or external space, like a dome or a ball.
No indentationsAny cut through the shape yields a single continuous cross-section, never a re-entrant notch.
Straight-line containmentConnecting any two interior points always keeps the segment fully inside the shape.
Positive curvatureAt every point, the curve bends in the same direction, never flipping sign.
Uniform force distributionExternal pressure spreads evenly, reducing localized stress concentrations.
Tangent support propertyA single tangent plane can touch the entire shape without crossing its interior.
Intersection closureIntersecting two convex shapes always produces another convex shape.
Unique minimumFor convex functions, any local minimum is also the global minimum, simplifying optimization.
Reflective symmetryMany convex shapes, like spheres or cubes, possess multiple mirror planes.
Volume maximizationFor a fixed surface area, a convex sphere encloses the largest possible volume.

Common Examples of Convex

  • Sphere – A perfect basketball bulges outward uniformly, with no flat spots or depressions.
  • Convex lens – A magnifying glass curves outward on both sides to converge light rays.
  • Egg shell – The outer dome resists cracking from external pressure due to its outward curve.
  • Dome roof – The Capitol building's rotunda distributes weight evenly down its curved surface.
  • Convex mirror – A store security mirror bulges outward to provide a wide field of view.
  • Bowl exterior – The outside of a cereal bowl curves outward, while the inside is concave.
  • Human eyeball – The cornea's outward bulge focuses incoming light onto the retina.
  • Water droplet – Surface tension pulls molecules into a spherical, convex shape.
  • Convex polygon – A regular hexagon has all interior angles less than 180 degrees.
  • Mountain peak – A hill's summit curves outward, with slopes descending away from the apex.

Advantages and Limitations of Convex

AdvantagesLimitations
Distributes external loads evenly, preventing stress fractures in arches and domes.Cannot nest or stack efficiently, wasting storage space compared to flat or concave forms.
Provides maximum volume per unit surface area, ideal for storage tanks and balloons.Reflects light outward, causing glare in mirrors and reducing light concentration in solar collectors.
Guarantees a single global minimum in optimization problems, simplifying mathematical solving.Difficult to machine precisely because the outward curve requires specialized tooling.
Creates a wide field of view in security mirrors, enhancing surveillance coverage.Makes objects harder to grip, as fingers slide off the rounded surface.
Resists buckling under compression, as seen in eggshells and pressure vessels.Produces distorted, minified images in reflective surfaces, reducing detail clarity.
Supports tangent-plane contact, enabling stable rolling motion in wheels and balls.Increases aerodynamic drag on vehicles, as the blunt front face pushes air aside.
Simplifies intersection calculations in computer graphics and collision detection.Requires more material to enclose a given volume compared to a concave or folded design.
Offers predictable thermal expansion, as all points move uniformly outward when heated.Prevents close packing of identical objects, leaving gaps in containers or transport.
Enables efficient light focusing in lenses, critical for cameras and eyeglasses.Creates a blind spot directly behind the object in convex mirrors, limiting rear visibility.
Provides natural waterproofing, as water beads and rolls off the outward curve.Makes it challenging to attach flat components, requiring custom curved mounting surfaces.

Similarities Between Concave and Convex

Shared AspectHow Concave and Convex Are Alike
Geometric ClassificationBoth concave and convex are primary classifications of curved surfaces or lenses in geometry and optics.
Optical FunctionConcave and convex lenses both refract light rays to alter image formation and focus.
Focal PointBoth concave and convex mirrors possess a defined focal point where reflected rays converge or diverge.
Mirror TypesConcave and convex mirrors are both spherical mirrors with a consistent radius of curvature.
Image FormationConcave and convex surfaces both produce real or virtual images depending on object distance.
Material UsageConcave and convex lenses are both manufactured from glass, plastic, or other transparent materials.
Vision CorrectionConcave and convex lenses both correct refractive errors like myopia and hyperopia in eyeglasses.
Scientific InstrumentsConcave and convex lenses both appear in microscopes, telescopes, and cameras for magnification.
Principal AxisConcave and convex mirrors both share a principal axis passing through their center of curvature.
Pole DefinitionConcave and convex mirrors both have a pole, the central point on the reflective surface.
Center of CurvatureConcave and convex surfaces both have a center of curvature located on the principal axis.
Radius of CurvatureConcave and convex mirrors both have a measurable radius of curvature equal to twice the focal length.
Light ReflectionConcave and convex mirrors both obey the law of reflection with equal incident and reflected angles.
Ray DiagramsConcave and convex optics both use standard ray diagrams with parallel, focal, and central rays.
Magnification FormulaConcave and convex lenses both use the same magnification formula: image height divided by object height.
Lens Maker EquationConcave and convex lenses both follow the lens maker's equation relating focal length to curvature.
Sign ConventionConcave and convex mirrors both follow the Cartesian sign convention for distances and heights.
Real-World DevicesConcave and convex shapes both appear in everyday devices like flashlights, car headlights, and peepholes.
Solar ApplicationsConcave and convex reflectors both concentrate or disperse sunlight for heating or lighting purposes.
Photography EquipmentConcave and convex lens elements both combine in camera zoom lenses to correct aberrations.
Medical DevicesConcave and convex lenses both enable ophthalmoscopes and endoscopes to examine internal body structures.
Educational ToolsConcave and convex mirrors both serve as standard physics lab equipment for demonstrating optics principles.
Surface CurvatureConcave and convex surfaces both have a continuous, smooth curvature without flat segments.
Symmetry PropertyConcave and convex spherical mirrors both exhibit rotational symmetry around the principal axis.
Focal LengthConcave and convex mirrors both have a focal length equal to half the radius of curvature.
Object-Image RelationConcave and convex optics both relate object distance and image distance through the mirror equation.
Light ManipulationConcave and convex lenses both manipulate light direction for focusing, collimating, or diverging beams.
Industrial InspectionConcave and convex lenses both assist in quality control by magnifying small components for inspection.
Safety ApplicationsConcave and convex mirrors both enhance visibility in traffic intersections and parking garage blind spots.
Cost FactorsConcave and convex lenses both have production costs driven by material quality, precision grinding, and coating.

Concave or Convex: Which Should You Choose?

The single deciding variable is the direction of the curve relative to your viewing point. Choose Concave when the surface curves inward, like a bowl or cave, to focus light, collect sound, or hold contents. Choose Convex when the surface curves outward, like a dome or ball, to disperse light, spread force, or magnify objects.

When to Use Concave

Choose Concave when you need to converge energy or contain material. Use it for satellite dishes to focus signals, makeup mirrors to magnify reflections, or dental mirrors to enlarge a small area. It also fits applications requiring physical containment, such as spoons, bowls, or acoustic ceilings that gather sound waves. Budgets are typically lower for small plastic lenses, but precision glass versions cost more.

When to Use Convex

Choose Convex when you need to diverge energy or provide a wide field of view. Use it for security mirrors in parking garages to expand visibility, rear-view mirrors in cars to reduce blind spots, or eyeglass lenses for farsightedness. It also suits protective domes over cameras or sensors, and bottle bottoms to increase structural strength. Costs rise with optical-grade materials, but standard acrylic versions remain affordable.

Common Misconceptions About Concave and Convex

Common MythThe Reality
"Concave means curving inward, while convex means curving outward."This definition is correct for mirrors and lenses, but in geometry, a concave polygon has an interior angle greater than 180 degrees, while a convex polygon has all interior angles less than 180 degrees.
"A concave mirror always produces a smaller, upright image."A concave mirror produces an upright, magnified image only when the object is placed inside the focal length; beyond the focal point, it creates an inverted, real image.
"A convex mirror is used to magnify small objects like a makeup mirror."A convex mirror always produces a diminished, upright image; a concave mirror provides magnification for makeup or shaving applications.
"Convex lenses always converge light to a single focal point."A convex lens converges parallel light rays, but spherical aberration prevents perfect convergence at a single point for all rays, especially near the lens edges.
"Concave lenses are used in eyeglasses for farsightedness."Concave lenses correct nearsightedness (myopia); convex lenses correct farsightedness (hyperopia) by converging light before it reaches the retina.
"The terms concave and convex only apply to curved surfaces."These terms also apply to polygons, functions, and sets in mathematics; a convex function curves upward, while a concave function curves downward.
"A concave shape is the same as a hollow shape."Hollow refers to an empty interior, while concave describes a surface curving inward; a hollow sphere has a convex outer surface and a concave inner surface.
"Convex mirrors produce real images that can be projected on a screen."Convex mirrors always produce virtual, upright, and diminished images that cannot be projected; concave mirrors can produce real, projectable images.
"A convex lens is thicker at the edges than at the center."A convex lens is thicker at the center and thinner at the edges; a concave lens is thinner at the center and thicker at the edges.
"Concave mirrors are only used in telescopes and not in everyday items."Concave mirrors appear in flashlights, car headlights, solar cookers, and dentist's mirrors; they concentrate light or magnify small areas.
"Convex shapes have no interior angles greater than 90 degrees."Convex polygons can have interior angles up to 179 degrees; the only restriction is that no angle exceeds 180 degrees and no line segment between two points exits the shape.
"A concave polygon always has a hole or opening in it."A concave polygon has no hole; it is simply a single closed shape where at least one interior angle exceeds 180 degrees, creating an indentation.
"Convex lenses are used in cameras to produce virtual images."Camera convex lenses produce real, inverted images on the sensor or film; virtual images occur only when the object is inside the focal length, as in a magnifying glass.
"Concave and convex are interchangeable terms depending on viewpoint."Concave and convex are opposites, not viewpoint-dependent; a surface cannot be both concave and convex simultaneously from any single perspective.
"A convex function always has a maximum point."A convex function has a minimum point, not a maximum; a concave function has a maximum point, as seen in profit or utility curves.
"Concave mirrors always reflect light to a single focal point."Parallel rays reflect through the focal point only for paraxial rays; off-axis rays cause spherical aberration, spreading the focus into a blur.
"Convex shapes are always round or circular."Convex shapes include triangles, squares, pentagons, and any polygon where all interior angles are less than 180 degrees; roundness is not required.
"Concave lenses are thicker in the middle than at the edges."Concave lenses are thinner in the middle and thicker at the edges; this shape causes light rays to diverge rather than converge.
"A concave mirror can never produce an upright image."A concave mirror produces an upright, virtual, magnified image when the object is placed between the mirror and its focal point, as in a shaving mirror.
"Convex mirrors are used in parking lots to magnify distant objects."Convex mirrors diminish distant objects, providing a wider field of view; they do not magnify, which is why they suit security and traffic mirrors.
"The human eye lens is concave to focus light on the retina."The human eye lens is convex, converging light onto the retina; a concave lens would diverge light and prevent proper focusing.
"Convex and concave lenses both produce the same type of image."Convex lenses produce real or virtual images depending on object distance; concave lenses always produce virtual, upright, and diminished images regardless of distance.
"A concave shape has a larger area than a convex shape with the same perimeter."For a fixed perimeter, a convex shape maximizes area; a concave indentation reduces the enclosed area compared to its convex hull.
"Convex mirrors are used in makeup mirrors because they magnify."Makeup mirrors are concave, not convex; concave mirrors magnify when the face is within the focal length, while convex mirrors shrink reflections.
"Concave lenses are used in projectors to enlarge images."Projectors use convex lenses to converge light and form enlarged real images; concave lenses diverge light and cannot project magnified images.
"A convex set in mathematics must be a curved shape."A convex set can be a straight line segment, a triangle, or a rectangle; any set where a line between two points stays inside qualifies as convex.
"Concave mirrors are used in car side mirrors for a wider view."Car side mirrors are convex, not concave; convex mirrors provide a wider field of view, while concave mirrors would narrow it and distort distances.
"Convex lenses always produce upright images."Convex lenses produce inverted images when the object is beyond the focal length; upright images appear only when the object is inside the focal length.
"A concave polygon has more sides than a convex polygon."Concave and convex polygons can have the same number of sides; concavity depends on interior angles, not on side count or perimeter length.
"Convex and concave shapes are only relevant in physics and optics."Concave and convex concepts apply to economics (cost curves), computer graphics (collision detection), and biology (cell shapes), not just optics.

Conclusion

Difference Between Concave and Convex shapes comes down to inward versus outward curves. Concave curves inward, like a bowl or cave. Convex bulges outward, like a ball or dome. For lenses, concave diverges light; convex converges it. Remember: concave caves in, convex protrudes out.

FAQs on Difference Between Concave and Convex

What is the difference between concave and convex shapes?
A concave shape curves inward, like a bowl or cave, while a convex shape bulges outward, like a ball or dome. The key distinction lies in the direction of the curve relative to the viewer's position.
How can you quickly identify a concave vs convex lens?
A concave lens is thinner at the center than at the edges, whereas a convex lens is thicker at the center. Hold the lens at arm's length and look through it to check the thickness profile.
Which is better for magnifying objects, concave or convex?
Convex lenses are better for magnifying objects because they converge light rays to a focal point, creating enlarged images. Concave lenses diverge light and produce smaller, virtual images, making them unsuitable for magnification.
Does a concave mirror cost more than a convex mirror?
Cost depends on size, material, and application, not the curve direction alone. Concave mirrors for telescopes or shaving often cost more due to precision polishing, while convex security mirrors are typically cheaper per unit at retail scale.
Are concave lenses safer for the eyes than convex lenses?
Neither lens type is inherently safer; safety depends on prescription accuracy and impact-resistant materials. Concave lenses correct nearsightedness, and convex lenses correct farsightedness, but both can cause eye strain if prescribed incorrectly.
Can concave and convex mirrors be used interchangeably in vehicles?
No, vehicle side mirrors use convex shapes to widen the field of view, while concave mirrors would distort distances and create blind spots. Interchanging them would violate safety standards because convex mirrors show objects smaller but closer than they appear.
What is a common beginner mistake when drawing concave vs convex curves?
A common mistake is confusing the direction of curvature relative to the object's interior, especially in 3D drawings. Beginners often draw a concave surface as convex by shading the wrong side, so always mark the center of curvature first.
Are concave and convex polygons the same in geometry?
No, concave polygons have at least one interior angle greater than 180 degrees, while convex polygons have all angles less than 180 degrees. A concave polygon also has at least one diagonal that lies outside the shape, unlike a convex polygon.
What is a real-world use case for concave and convex lenses in cameras?
Camera lenses use convex elements to focus light onto the sensor, while concave elements correct aberrations and widen the angle of view. For example, telephoto lenses combine both types to reduce chromatic distortion and maintain sharpness across the frame.
Can I switch from a concave to a convex contact lens prescription?
You cannot switch without an eye exam because concave and convex lenses correct opposite vision errors. Concave lenses treat myopia (nearsightedness), and convex lenses treat hyperopia (farsightedness), so swapping them would severely blur your vision and cause headaches.