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In geometry, the mirror image of an object or two-dimensional
figure is the virtual image formed by a plane mirror; it is of the same size as the original object, yet different, unless the object or figure has mirror-image
symmetry (also known in the terminology of modern physics as a P-symmetry).
Examples:
- The mirror-image of b is d or p (d and p are equal except for orientation).
- The tetrominos S and Z
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. Chirality is a term in geometry where a figure is said to be chiral if it is not
identical to its mirror image, or, more precisely, can't be mapped to its mirror image by rotations and translations alone.
Examples:
- The mirror-image of a right hand is like a left hand.
- The mirror-image of a human body is roughly like a human body, but with internal differences; for a particular person there
are also minor external differences, the most striking may be the hair if that is not symmetrically cut and combed.
- The 3D tetrominos left and right screw
- The two versions of the snub cube are mirror images of each other.
- The two isomers in the case of optical isomerism.
- Clothing is often approximately symmetric. However, for fastening the right to
the left side (of a shirt, coat, flies, dress, etc.), often on the front side, but also on the back side, if buttons are used one
side goes over the other; in the case of a zip fastener there is at least
minor asymmetry, but often also one flap goes over the other. A belt, although often vertically symmetric, provides also
asymmetry. A skirt may have a zip fastener on one side. There may also be asymmetry with
regard to pockets, for example only one inner pocket.
A mirror image of a two-dimensional figure is also obtained when looking at it from the other side, in the case that the
figure can still be seen from there. This may be the case due to transparency, or if the coloring is not just at the surface but
also inside, or if a shape has been cut out.
Examples:
- text or pictures on glass or textiles (a printed T-shirt worn inside out, a parasol)
- paper printed on one side, looked at from the other side, holding it to the light
The mirror-image of a mirror image is a regular image. When you see a reflection that surprisingly is a regular image this is
usually caused by the fact that you are looking at the reflection of a reflection, or the reflection of an image seen from the
other side (see above). On sunny days perhaps the most common example of the latter is seeing the reflection in a window of the
inside of a parasol with text on it.
Occasionally you can see a mirror image, even though you are aware of looking at the reflection of a reflection; this may be
due to a third reflection.
A text is sometimes displayed in mirror image on the front side of a car, to be seen as a regular text in the rear view mirror
of the car in front.
A special kind of "mirror image" of a text is with the letters in reversed order, while the individual letters are normal, see
http://wikipedia.org.mirror.sytes.org/wiki/mirror_image . The real
mirror image of that is with is with the letters in normal order, but each in mirror image.
See also Chirality, Left
and right, handedness
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