A map is a visual representation of an area – a symbolic
depiction highlighting relationships between elements of that space such as objects,
regions, and themes.
Many maps are statictwo-dimensional, geometrically accurate (or
approximately accurate) representations of three-dimensional space, while others are
dynamic or interactive, even three-dimensional. Although most commonly used to
depict geography, maps may represent any space, real or
imagined, without regard to context or scale;
e.g. brain
mapping, DNA
mapping and extraterrestrial mapping.
The orientation of a map is the
relationship between the directions on the map and the corresponding compass directions
in reality. The word "orient" is derived from Latinoriens, meaning
East. In the Middle Ages many maps, including the T and O maps,
were drawn with East at the top (meaning that the direction "up" on
the map corresponds to East on the compass). Today, the most common – but far
from universal – cartographic convention is that North is at the top of a map.
Several kinds of maps are often traditionally not oriented with North at the
top:
- Maps from non-Western traditions are oriented a variety of ways. Old maps of Edo show the Japanese imperial palace as the "top", but also at the centre, of the map. Labels on the map are oriented in such a way that you cannot read them properly unless you put the imperial palace above your head.[citation needed]
- Medieval European T and O maps such as the Hereford Mappa Mundi were centred on Jerusalem with East at the top. Indeed, prior to the reintroduction of Ptolemy's Geography to Europe around 1400, there was no single convention in the West. Portolan charts, for example, are oriented to the shores they describe.
- Maps of cities bordering a sea are often conventionally oriented with the sea at the top.
- Route and channel maps have traditionally been oriented to the road or waterway they describe.
- Polar maps of the Arctic or Antarctic regions are conventionally centred on the pole; the direction North would be towards or away from the centre of the map, respectively. Typical maps of the Arctic have 0° meridian towards the bottom of the page; maps of the Antarctic have the 0° meridian towards the top of the page.
- Reversed maps, also known as Upside-Down maps or South-Up maps, reverse the "North is up" convention and have South at the top.
- Buckminster Fuller's Dymaxion maps are based on a projection of the Earth's sphere onto an icosahedron. The resulting triangular pieces may be arranged in any order or orientation.
- Modern digital GIS maps such as ArcMap typically project north at the top of the map, but use math degrees (0 is east, degrees increase counter-clockwise), rather than compass degrees (0 is north, degrees increase clockwise) for orientation of transects. Compass decimal degrees can be converted to math degrees by subtracting them from 450; if the answer is greater than 360, subtract 360.
Scale
and accuracy
A 'global view map' of Europe,
Western Asia and Africa.
Many, but not all, maps are drawn to
a scale, expressed as a ratio such as 1:10,000, meaning that 1 of any unit of measurement
on the map corresponds exactly, or approximately, to 10,000 of that same unit
on the ground. The scale statement may be taken as exact when the region mapped
is small enough for the curvature of the Earth to be neglected, for example in a town planner's
city map. Over
larger regions where the curvature cannot be ignored we must use map projections
from the curved surface of the Earth (sphere or ellipsoid) to the plane. The
impossibility of flattening the sphere to the plane implies that no map projection can have constant scale: on
most projections the best we can achieve is accurate scale on one or two lines
(not necessarily straight) on the projection. Thus for map projections we must
introduce the concept of point scale,
which is a function of position, and strive to keep its variation within narrow
bounds. Although the scale statement is nominal it is usually accurate enough
for all but the most precise of measurements.
Large scale maps, say 1:10,000,
cover relatively small regions in great detail and small scale maps, say
1:10,000,000, cover large regions such as nations, continents and the whole
globe. The large/small terminology arose from the practice of writing scales as
numerical fractions: 1/10,000 is larger than 1/10,000,000. There is no exact
dividing line between large and small but 1/100,000 might well be considered as
a medium scale. Examples of large scale maps are the 1:25,000 maps produced for
hikers; on the other hand maps intended for motorists at 1:250,000 or
1:1,000,000 are small scale.
It is important to recognize that
even the most accurate maps sacrifice a certain amount of accuracy in scale to
deliver a greater visual usefulness to its user. For example, the width of
roads and small streams are exaggerated when they are too narrow to be shown on
the map at true scale; that is, on a printed map they would be narrower than
could be perceived by the naked eye. The same applies to computer maps where
the smallest unit is the pixel. A narrow stream say must be shown to have the width of a
pixel even if at the map scale it would be a small fraction of the pixel width.
Some maps, called cartograms,
have the scale deliberately distorted to reflect information other than land
area or distance. For example, this map (at the right) of Europe has been distorted to show population distribution, while
the rough shape of the continent is still discernible.
Another example of distorted scale
is the famous London Underground map. The basic geographical structure is respected but the tube
lines (and the River Thames) are smoothed to clarify the relationships between
stations. Near the center of the map stations are spaced out more than near the
edges of map.
Further inaccuracies may be
deliberate. For example, cartographers may simply omit military installations
or remove features solely in order to enhance the clarity of the map. For
example, a road map may not show railroads, smaller waterways or other
prominent non-road objects, and even if it does, it may show them less clearly
(e.g. dashed or dotted lines/outlines) than the main roads. Known as
decluttering, the practice makes the subject matter that the user is interested
in easier to read, usually without sacrificing overall accuracy. Software-based
maps often allow the user to toggle decluttering between ON, OFF and AUTO as
needed. In AUTO the degree of decluttering is adjusted as the user changes the
scale being displayed.
Map
types and projections
See also: Category:Map types
Maps of the world or large areas are
often either 'political' or 'physical'. The most important purpose of the political map
is to show territorial borders; the purpose of the physical is to show features of geography
such as mountains, soil type or land use including infrastructure such as
roads, railroads and buildings. Topographic maps
show elevations
and relief with contour lines
or shading. Geological maps show not only the physical surface, but characteristics of
the underlying rock, fault lines,
and subsurface structures.
Maps that depict the surface of the
Earth also use a projection, a way of translating the three-dimensional real surface of
the geoid to a
two-dimensional picture. Perhaps the best-known world-map projection is the Mercator projection, originally designed as a form of nautical chart.
Aeroplane pilots use aeronautical charts based on a Lambert
conformal conic projection, in which
a cone is laid over the section of the earth to be mapped. The cone intersects
the sphere (the earth) at one or two parallels which are chosen as standard
lines. This allows the pilots to plot a great-circle route approximation on a
flat, two-dimensional chart.
- Azimuthal or Gnomonicmap projections are often used in planning air routes due to their ability to represent great circles as straight lines.
- General Richard Edes Harrison produced a striking series of maps during and after World War II for Fortune magazine. These used "bird's eye" projections to emphasise globally strategic "fronts" in the air age, pointing out proximities and barriers not apparent on a conventional rectangular projection of the world.
Electronic
maps
From the last quarter of the 20th
century, the indispensable tool of the cartographer
has been the computer. Much of cartography, especially at the data-gathering survey level, has been subsumed by Geographic
Information Systems (GIS). The functionality of maps
has been greatly advanced by technology simplifying the superimposition of
spatially located variables onto existing geographical maps. Having local
information such as rainfall level, distribution of wildlife, or demographic
data integrated within the map allows more efficient analysis and better
decision making. In the pre-electronic age such superimposition
of data led Dr. John Snow to identify the location of an outbreak of cholera. Today,
it is used by agencies of the human kind, as diverse as wildlife
conservationists and militaries around the world.
Relief map Sierra Nevada
Even when GIS is not involved, most
cartographers now use a variety of computer graphics programs to generate new
maps.
Interactive, computerised maps are
commercially available, allowing users to zoom in or zoom out
(respectively meaning to increase or decrease the scale), sometimes by
replacing one map with another of different scale, centered where possible on
the same point. In-car global
navigation satellite systems
are computerised maps with route-planning and advice facilities which monitor
the user's position with the help of satellites. From the computer scientist's
point of view, zooming in entails one or a combination of:
- replacing the map by a more detailed one
- enlarging the same map without enlarging the pixels, hence showing more detail by removing less information compared to the less detailed version
- enlarging the same map with the pixels enlarged (replaced by rectangles of pixels); no additional detail is shown, but, depending on the quality of one's vision, possibly more detail can be seen; if a computer display does not show adjacent pixels really separate, but overlapping instead (this does not apply for an LCD, but may apply for a cathode ray tube), then replacing a pixel by a rectangle of pixels does show more detail. A variation of this method is interpolation
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