
An arrow is a graphical
symbol
A symbol is a mark, Sign (semiotics), sign, or word that indicates, signifies, or is understood as representing an idea, physical object, object, or wikt:relationship, relationship. Symbols allow people to go beyond what is known or seen by cr ...
, such as ←, ↑ or →, or a
pictogram
A pictogram (also pictogramme, pictograph, or simply picto) is a graphical symbol that conveys meaning through its visual resemblance to a physical object. Pictograms are used in systems of writing and visual communication. A pictography is a wri ...
, used to point or indicate direction. In its simplest form, an arrow is a
triangle
A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called ''vertices'', are zero-dimensional points while the sides connecting them, also called ''edges'', are one-dimension ...
,
chevron, or
concave kite, usually
affixed to a
line segment
In geometry, a line segment is a part of a line (mathematics), straight line that is bounded by two distinct endpoints (its extreme points), and contains every Point (geometry), point on the line that is between its endpoints. It is a special c ...
or
rectangle
In Euclidean geometry, Euclidean plane geometry, a rectangle is a Rectilinear polygon, rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that a ...
,
and in more complex forms a representation of an actual
arrow
An arrow is a fin-stabilized projectile launched by a bow. A typical arrow usually consists of a long, stiff, straight shaft with a weighty (and usually sharp and pointed) arrowhead attached to the front end, multiple fin-like stabilizers c ...
(e.g. ➵ U+27B5). The direction indicated by an arrow is the one along the length of the line or rectangle toward the single pointed end.
History
An older (medieval) convention is the
manicule
The manicule, , is a typography, typographic mark with the appearance of a hand with its index finger extending in a pointing gesture. Originally used for handwritten marginal notes, it later came to be used in printed works to draw the reader' ...
(pointing hand, ☚).
Pedro Reinel in c. 1505 first used the
fleur-de-lis
The ''fleur-de-lis'', also spelled ''fleur-de-lys'' (plural ''fleurs-de-lis'' or ''fleurs-de-lys''), is a common heraldic charge in the (stylized) shape of a lily (in French, and mean and respectively). Most notably, the ''fleur-de-lis'' ...
as indicating north in a
compass rose
A compass rose or compass star, sometimes called a wind rose or rose of the winds, is a polar coordinates, polar diagram displaying the orientation of the cardinal directions (north, east, south, and west) and their points of the compass, inter ...
;
the convention of marking the eastern direction with a cross is older (medieval).
Use of the arrow symbol does not appear to pre-date the 18th century. An early arrow symbol is found in an illustration of
Bernard Forest de Bélidor
Bernard Forest de Bélidor (1698, Catalonia, Spain – 8 September 1761, Paris, France) was a French engineer, significant to the development of the science of hydraulics and ballistics.
He was the son of Jean Baptiste Foret de Belidor, an offic ...
's treatise ''L'architecture hydraulique'', printed in France in 1737. The arrow is here used to illustrate the direction of the flow of water and of the water wheel's rotation. At about the same time, arrow symbols were used to indicate the flow of rivers in maps.
A trend toward abstraction, in which the arrow's
fletching
Fletching is the fin-shaped aerodynamic stabilization device attached on arrows, crossbow bolts, Dart (missile), darts, and javelins, typically made from light semi-flexible materials such as feathers or Bark (botany), bark. Each piece of such a ...
is removed, can be observed in the mid-to-late 19th century. The arrow can be seen in the work of
Paul Klee
Paul Klee (; 18 December 1879 – 29 June 1940) was a Swiss-born German artist. His highly individual style was influenced by movements in art that included expressionism, cubism, and surrealism. Klee was a natural draftsman who experimented wi ...
. In a further refinement of the symbol, John Richard Green's ''
A Short History of the English People'' of 1874 contained maps by cartographer Emil Reich, which indicated army movements by curved lines, with solid triangular arrowheads placed intermittently along the lines.
[History of the Arrow]
American Printing History Society (2015).
Main usage

Arrows are universally recognised for indicating directions.
They are widely used on
signage
Signage is the design or use of signs and symbols to communicate a message. Signage also means signs ''collectively'' or being considered as a group. The term ''signage'' is documented to have been popularized in 1975 to 1980.
Signs are any ki ...
and for
wayfinding
Wayfinding (or way-finding) encompasses all of the ways in which people (and animals) Orientation (mental), orient themselves in physical space and navigation, navigate from place to place.
Wayfinding software is a self-service computer program th ...
,
and are often used in
road surface markings.
A
two-way road may be indicated by "↕" or "⇅".
In mathematics and physics
Upward arrows are often used to indicate an increase in a numerical value, and downward arrows indicate a decrease.
In
mathematical logic
Mathematical logic is the study of Logic#Formal logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic com ...
, a right-facing arrow indicates
material conditional
The material conditional (also known as material implication) is a binary operation commonly used in logic. When the conditional symbol \to is interpreted as material implication, a formula P \to Q is true unless P is true and Q is false.
M ...
, and a left-right (bidirectional) arrow indicates
if and only if
In logic and related fields such as mathematics and philosophy, "if and only if" (often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements. The biconditional is true in two cases, where either bo ...
, an upwards arrow indicates the
NAND operator (negation of conjunction), an downwards arrow indicates the
NOR operator (negation of disjunction).
Use of arrow symbols in
mathematical notation
Mathematical notation consists of using glossary of mathematical symbols, symbols for representing operation (mathematics), operations, unspecified numbers, relation (mathematics), relations, and any other mathematical objects and assembling ...
developed in the first half of the 20th century.
David Hilbert
David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time.
Hilbert discovered and developed a broad range of fundamental idea ...
in 1922 introduced the arrow symbol representing
logical implication
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of ...
.
The double-headed arrow representing
logical equivalence
In logic and mathematics, statements p and q are said to be logically equivalent if they have the same truth value in every model. The logical equivalence of p and q is sometimes expressed as p \equiv q, p :: q, \textsfpq, or p \iff q, depending ...
was introduced by
Albrecht Becker in ''Die Aristotelische Theorie der Möglichkeitsschlüsse'', Berlin, 1933.
[
]Knuth's up-arrow notation
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976.
In his 1947 paper, R. L. Goodstein introduced the specific sequence of operations that are now called ''hyperoperatio ...
uses multiple up arrows, such as ⇈, for iterated, or repeated, exponentiation (''tetration
In mathematics, tetration (or hyper-4) is an operation (mathematics), operation based on iterated, or repeated, exponentiation. There is no standard mathematical notation, notation for tetration, though Knuth's up arrow notation \uparrow \upa ...
'').
The quantum theory of electron spin
Spin is an intrinsic form of angular momentum carried by elementary particles, and thus by composite particles such as hadrons, atomic nuclei, and atoms. Spin is quantized, and accurate models for the interaction with spin require relativistic ...
uses either upward or downward arrows.
A vector
Vector most often refers to:
* Euclidean vector, a quantity with a magnitude and a direction
* Disease vector, an agent that carries and transmits an infectious pathogen into another living organism
Vector may also refer to:
Mathematics a ...
may be denoted with an overhead arrow, such as in or .
Graffiti
Arrows are regularly used in contemporary graffiti
Graffiti (singular ''graffiti'', or ''graffito'' only in graffiti archeology) is writing or drawings made on a wall or other surface, usually without permission and within public view. Graffiti ranges from simple written "monikers" to elabor ...
designs, incorporated as an element in both simplistic tags and complex wildstyle pieces. Arrows are used as a visual technique to make a graffito stand out or give it a sense of movement. The graffiti theoretician RAMM:ΣLL:ZΣΣ described adornments, such as arrows, in wildstyle paintings as ornaments that ‘armed’ the letters of a piece. The Philadelphia
Philadelphia ( ), colloquially referred to as Philly, is the List of municipalities in Pennsylvania, most populous city in the U.S. state of Pennsylvania and the List of United States cities by population, sixth-most populous city in the Unit ...
graffiti artist Cool Earl began using arrows in 1967, although the New York graffiti writer SJK 171 may have been the first to do so. The graffiti artist Mare139 is known for creating 3D sculptures of arrows.
Unicode
In Unicode
Unicode or ''The Unicode Standard'' or TUS is a character encoding standard maintained by the Unicode Consortium designed to support the use of text in all of the world's writing systems that can be digitized. Version 16.0 defines 154,998 Char ...
, the block Arrows occupies the hexadecimal
Hexadecimal (also known as base-16 or simply hex) is a Numeral system#Positional systems in detail, positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbo ...
range U+2190–U+21FF, as described below.
By block
Additional arrows can be found in the Combining Diacritical Marks
Combining Diacritical Marks is a Unicode block containing the most common combining characters. It also contains the character " Combining Grapheme Joiner", which prevents canonical reordering of combining characters, and despite the name, actua ...
, Combining Diacritical Marks Extended, Combining Diacritical Marks for Symbols
Combining Diacritical Marks for Symbols is a Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative ...
, Halfwidth and Fullwidth Forms
In CJK characters, CJK (Chinese, Japanese, and Korean) computing, graphic characters are traditionally classed into fullwidth and halfwidth characters. Unlike monospaced fonts, a halfwidth character occupies half the width of a fullwidth characte ...
, Miscellaneous Mathematical Symbols-B
Miscellaneous Mathematical Symbols-B is a Unicode block containing miscellaneous mathematical symbols, including brackets, angles, and circle symbols.
Block
Some of these symbols are used in Z notation. Specifically
*
*
*
*
*
*
The last two ...
, Miscellaneous Symbols and Pictographs
Miscellaneous Symbols and Pictographs is a Unicode block containing meteorological and astronomical symbols, emoji characters largely for compatibility with Japanese telephone carriers' implementations of Shift JIS, and characters originally from ...
, Miscellaneous Technical
Miscellaneous Technical is a Unicode block ranging from U+2300 to U+23FF. It contains various common symbols which are related to and used in the various technical, programming language, and academic professions. For example:
* Symbol ⌂ (HTML ...
, Modifier Tone Letters and Spacing Modifier Letters
Spacing Modifier Letters is a Unicode block containing characters for the IPA, UPA, and other phonetic transcriptions. Included are the IPA tone marks, and modifiers for aspiration and palatalization. The word ''spacing'' indicates that these ...
Unicode block
A Unicode block is one of several contiguous ranges of numeric character codes (code points) of the Unicode character set that are defined by the Unicode Consortium for administrative and documentation purposes. Typically, proposals such as the ...
s.
See also
* Dingbat
In typography, a dingbat (sometimes more formally known as a printer's ornament or printer's character) is an ornament, specifically, a glyph used in typesetting, often employed to create box frames (similar to box-drawing characters), or a ...
* Box-drawing character
Box-drawing characters, also known as line-drawing characters, are a form of semigraphics widely used in text user interfaces to draw various geometric frames and boxes. These characters are characterized by being designed to be connected horiz ...
* Box Drawing (Unicode Block)
* Block Elements (Unicode Block)
* Geometric Shapes (Unicode block)
Geometric Shapes is a Unicode block of 96 symbols at code point range U+25A0–25FF.
Font coverage
Font sets like Code2000 and the DejaVu fonts, DejaVu family include coverage for each of the glyphs in the Geometric Shapes range. GNU Unifont, ...
* HTML character entities
References
*J. R. Finkel,
"History of the Arrow"
''Up Down Left Right'' (2011)
External links
Semantics of Simple Arrow Diagrams
Emojipedia
{{Mathematical symbols notation language
Logic symbols
Pictograms
Unicode