Mirror image

related topics
{math, energy, light}
{@card@, make, design}
{god, call, give}
{car, race, vehicle}
{film, series, show}
{disease, patient, cell}
{service, military, aircraft}

A mirror image is a reflected duplication that appears identical but in reverse. As an optical effect it results from reflection off of substances such as a mirror or water. It is also a concept in geometry and can be used as a conceptualization process for 3-D structures. In chemistry, a '"mirror image'" is a molecule having a spatial arrangement that corresponds to that of another molecule except that the right-to-left sense on one corresponds to the left-to-right sense on the other, the left handedness being known as "levo" or l-x and the righthandedness being known as "dextro" or d-x, where "x" is the referenced molecule.


Contents

In geometry

In two dimensions

In geometry, the mirror image of an object or two-dimensional figure is the virtual image formed by reflection in a plane mirror; it is of the same size as the original object, yet different, unless the object or figure has reflection symmetry (also known as a P-symmetry).

Two-dimensional mirror images can be seen in the reflections of mirrors or other reflecting surfaces, or on a printed surface seen inside out.

In three dimensions

The concept of mirror image can be extended to three-dimensional objects, including the inside parts, even if they are not transparent. The term then relates to structural as well as visual aspects. This is also called enantiomer or enantiomorph.

If a point of an object has coordinates (x, y,z) then the image of this point (as reflected from the mirror in y, z plane) has coordinates (-x, y,z) - so mirror reflection is a reversal of the coordinate axis perpendicular to the mirror's surface. Thus, a mirror image does not have reversed right and left (or up and down), but rather reversed front and back. The left-right reversal of the mirror image only holds in relation a normal (i.e. unreflected) picture that we see in front of us; see schematic illustration at the right. For instance, if we look at a picture or object in our hand and then turn it towards a mirror, the picture and thus its mirror reflection have made a left-to-right 'flip over' of 180 degrees. The same principle holds when we stand with our back towards the mirror and face a picture or object in front of the mirror, and then compare it with its reflection by turning our head or body 180 degrees towards the mirror. It is thus not the mirror itself, but our own relative position and viewing point that has caused the apparent left-to-right reversal.

A mirror image appears three-dimensional if the observer moves. This is because the relative position of objects changes as the observer's perspective changes.[1]

Full article ▸

related documents
Conservative force
Plum pudding model
Wave impedance
Cycloid
South Atlantic Anomaly
Planetary ring
Deimos (moon)
Local Group
Antihydrogen
Interstellar cloud
Right ascension
Giant impact hypothesis
Principle of relativity
Gyrocompass
Theory of relativity
Celestial coordinate system
Analemma
Metis (moon)
Mechanical equilibrium
Volt
Adrastea (moon)
Rhea (moon)
Microscope
Intensity (physics)
Nemesis (star)
Dioptre
Azimuth
Apsis
Magnetic mirror
Electro-optic modulator