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Lozenge



 
 
A lozenge (?), colloquially known as a diamond, is a form of rhombus
Rhombus

In geometry, a rhombus , or rhomb is an equilateral polygon parallelogram. In other words, it is a four-sided polygon in which every side has the same length....
. The definition of lozenge is not strictly fixed, and it is sometimes used simply as a synonym (from the French
French language

French is a Romance language spoken around the world by around 80 million people as first language, by 190 million as second language, and by about another 200 million people as an acquired tongue, with significant speakers in 54 countries....
 losange) for rhombus. Most often, though, lozenge refers to a thin rhombus — a rhombus with acute angles of 45°. The lozenge shape is often used in parquetry
Parquetry

Parquetry is a geometric mosaic of wood pieces used for decorative effect. The two main uses of parquetry are as veneer patterns on furniture and block patterns for floors....
 and as decoration
Decorative art

The decorative arts are traditionally defined as ornamental and functional works in ceramic, wood, glass, metal, textile. The field includes Ceramics , furniture, furnishings, interior design, and architecture....
 on ceramics
Ceramics (art)

Ceramics is the art and science of making objects from inorganic, non-metallic materials by the action of heat. In art history, ceramics and ceramic art mean tableware, Work of art and tiles made from clay and other ceramic materials by the process of pottery, so excluding glass and also mosaic, normally made from glass tesserae....
, silverware
Silverware

Silverware, also called silver or silver plate, is a term for a number of household items:* Silver , candlesticks, dishware, flatware or cutlery usually made of sterling silver, a silver-plated base metal or stainless steel...
, and textile
Textile

A textile is a flexible material consisting of a network of natural or artificial fibres often referred to as thread or yarn. Yarn is produced by Spinning raw wool fibres, linen, cotton, or other material on a spinning wheel to produce long strands known as yarn....
s.

lozenge glyph
Glyph

A glyph is an element of writing. Two or more glyphs representing the same symbol, whether interchangeable or context-dependent, are called allographs; the abstract unit they are variants of is called a grapheme or character ....
 is found in DOS
DOS

DOS, short for "Disk Operating System", is a shorthand term for several closely related operating systems that dominated the IBM PC compatible market between 1981 and 1995, or until about 2000 if one includes the partially DOS-based Microsoft Windows versions Windows 95, Windows 98, and Windows Me....
 code page 437
Code page 437

IBM PC or MS-DOS code page 437, often abbreviated CP437 and also known as, DOS-US, OEM-US or sometimes misleadingly referred to as the OEM font, High ASCII or Extended ASCII, is the original character set of the IBM PC, circa 1981....
 (at character code 4) and Mac-Roman.






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Encyclopedia


A lozenge (?), colloquially known as a diamond, is a form of rhombus
Rhombus

In geometry, a rhombus , or rhomb is an equilateral polygon parallelogram. In other words, it is a four-sided polygon in which every side has the same length....
. The definition of lozenge is not strictly fixed, and it is sometimes used simply as a synonym (from the French
French language

French is a Romance language spoken around the world by around 80 million people as first language, by 190 million as second language, and by about another 200 million people as an acquired tongue, with significant speakers in 54 countries....
 losange) for rhombus. Most often, though, lozenge refers to a thin rhombus — a rhombus with acute angles of 45°. The lozenge shape is often used in parquetry
Parquetry

Parquetry is a geometric mosaic of wood pieces used for decorative effect. The two main uses of parquetry are as veneer patterns on furniture and block patterns for floors....
 and as decoration
Decorative art

The decorative arts are traditionally defined as ornamental and functional works in ceramic, wood, glass, metal, textile. The field includes Ceramics , furniture, furnishings, interior design, and architecture....
 on ceramics
Ceramics (art)

Ceramics is the art and science of making objects from inorganic, non-metallic materials by the action of heat. In art history, ceramics and ceramic art mean tableware, Work of art and tiles made from clay and other ceramic materials by the process of pottery, so excluding glass and also mosaic, normally made from glass tesserae....
, silverware
Silverware

Silverware, also called silver or silver plate, is a term for a number of household items:* Silver , candlesticks, dishware, flatware or cutlery usually made of sterling silver, a silver-plated base metal or stainless steel...
, and textile
Textile

A textile is a flexible material consisting of a network of natural or artificial fibres often referred to as thread or yarn. Yarn is produced by Spinning raw wool fibres, linen, cotton, or other material on a spinning wheel to produce long strands known as yarn....
s.

The glyph

The lozenge glyph
Glyph

A glyph is an element of writing. Two or more glyphs representing the same symbol, whether interchangeable or context-dependent, are called allographs; the abstract unit they are variants of is called a grapheme or character ....
 is found in DOS
DOS

DOS, short for "Disk Operating System", is a shorthand term for several closely related operating systems that dominated the IBM PC compatible market between 1981 and 1995, or until about 2000 if one includes the partially DOS-based Microsoft Windows versions Windows 95, Windows 98, and Windows Me....
 code page 437
Code page 437

IBM PC or MS-DOS code page 437, often abbreviated CP437 and also known as, DOS-US, OEM-US or sometimes misleadingly referred to as the OEM font, High ASCII or Extended ASCII, is the original character set of the IBM PC, circa 1981....
 (at character code 4) and Mac-Roman. It is found in the Unicode
Unicode

Unicode is a computing industry standard allowing computers to consistently represent and manipulate Character expressed in most of the world's writing systems....
 Geometrical Shapes range at U+25CA LOZENGE. In HTML it can be typed with ◊ (or ◊ or ◊), which will produce ?. The LaTeX command for the lozenge is \lozenge.

Applications


Modal logic

In modal logic
Modal logic

A modal logic is any system of mathematical logic#Formal logic that attempts to deal with notions of possibility and necessity. Traditionally, there are three "modes" or "moods" or "modalities" of the Copula to be, namely, Logical possibility, probability, and Necessary_and_sufficient_conditions#Necessary_conditions....
, the lozenge expresses the possibility of the following expression. For example, the expression expresses that it is possible that P is true.

Mathematics

In axiomatic set theory, the lozenge refers to the principles known collectively as diamondsuit
Diamondsuit

In mathematics, and particularly in axiomatic set theory, is a certain family of combinatorial principles....
.

Camouflage


During the First World War
World War I

World War I, or the First World War , was a global military conflict which involved the Great powers, organized into two opposing military alliances: the Allies of World War I and the Central Powers....
, the Germans
Germany

Germany , officially the Federal Republic of Germany , is a country in Central Europe. It is bordered to the north by the North Sea, Denmark, and the Baltic Sea; to the east by Poland and the Czech Republic; to the south by Austria and Switzerland; and to the west by France, Luxembourg, Belgium, and the Netherlands....
 were looking for a way to effectively camouflage
Camouflage

Camouflage is a method of cryptic or concealing coloration that allows an otherwise visible organism or object to remain invisibility through deception....
 their aircraft. This resulted in the development of the so-called lozenge pattern (Lozengetarnung), made up of irregularly shaped colored polygon
Polygon

In geometry a polygon is traditionally a plane Shape that is bounded by a closed curve path or circuit, composed of a finite sequence of straight line segments ....
s (not necessarily actual rhombi). Because painting such a pattern was very time consuming, and the paint added considerably to the weight of the aircraft, it was decided to print the pattern on fabric. This pre-printed fabric was used from 1916 onwards, in various forms and colours. The most notable of these were the day fighter used variations-the five color version, usually nicknamed "Canberra" from its existence on the Australian War Memorial
Australian War Memorial

The Australian War Memorial is Australia's national war memorial to the members of all its Australian Defence Force and supporting organisations who have died or participated in the wars of the Australia....
's Albatros D.Va aircraft, and the four color version, nicknamed "Knowlton" from its existence on the Brome County Historical Society's Fokker D.VII
Fokker D.VII

The Fokker D.VII was a Germany World War I fighter aircraft designed by Reinhold Platz of the Fokker-Flugzeugwerke. Germany produced around 1,700 D.VII aircraft in the summer and autumn of 1918....
 aircraft in the Knowlton suburb of Lac-Brome, Quebec
Lac-Brome, Quebec

The Town of Lac-Brome, also referred to as Lake Brome City or the LBC, is located in the Eastern Townships region of Quebec, Canada....
, Canada. Both the Canberra and Knowlton patterns had sets of darker shades of their colors for upper surface application, and lighter shades for underside application.

Heraldry

The lozenge in heraldry
Heraldry

Heraldry is the profession, study, or art of devising, granting, and blazoning Coat of arms and ruling on questions of rank or protocol, as exercised by an officer of arms....
 is a diamond-shaped charge
Charge (heraldry)

In heraldry and vexillology, a charge is an image occupying the field on an Escutcheon . Charge can also be a verb; for example, if an escutcheon bears three Lion s, then it is said to be charged with three lions. It is important to distinguish between divisions of the field and charges, and to note that charges can themselves be c...
, usually somewhat narrower than it is tall. A mascle is a voided lozenge –that is, a lozenge with a lozenge-shaped hole in the middle– and the rarer rustre is a lozenge containing a circular hole. A field covered in a pattern of lozenges is described as lozengy; a similar field of mascles is masculy.

Cough tablets

Cough tablets have taken the name lozenge, based on their original shape. According to the Oxford English Dictionary
Oxford English Dictionary

The Oxford English Dictionary , published by the Oxford University Press , is a comprehensive dictionary of the English language. Two fully-bound print editions of the OED have been published under its current name, in 1928 and 1989; as of December 2008 the dictionary's current editors have completed a quarter of the third edition....
 the first use of this sense was in 1530.

U.S. Military

The lozenge is used in the U.S. Army
United States Army

The United States Army is the branch of the United States Armed Forces responsible for Army operations. It is the largest and oldest established branch of the U.S....
, Marine Corps
United States Marine Corps

The United States Marine Corps is a branch of the United States Armed Forces responsible for providing Military power projection from the sea, using the mobility of the United States Navy to rapidly deliver Marine Air-Ground Task Force....
, and Air Force
United States Air Force

The United States Air Force is the aerial warfare branch of the Military of the United States and one of the uniformed services of the United States....
 on the insignia of their respective First Sergeant
First Sergeant

First Sergeant is the name of a military rank used in some countries....
s.

They are also used in the Junior ROTC
Junior Reserve Officers' Training Corps

The Junior Reserve Officers' Training Corps is a Federal government of the United States program sponsored by the United States Armed Forces in high schools across the United States....
 and the Cadet Program in the Civil Air Patrol
Civil Air Patrol

The Civil Air Patrol is a United States Congress chartered, federally supported, Non-profit organization corporation that serves as the official Auxiliaries of the United States Air Force ....
, for Officers from the military pay grades of O-4 to O-6 (Major/Lieutenant Colonel to Colonel/Captain).

Finnish Defence Forces

In Finnish military ranks
Finnish military ranks

Finnish military ranks form a system that incorporates features from Swedish, German, and Russian armed forces. In addition, it has some typically Finnish characteristics that are mostly due to the personnel structure of the Finnish Defence Forces....
, the lozenge is found in the insignia of conscript officer students (one lozenge) and conscript officer cadets (two lozenges).

Transportation

The lozenge can be used on public roadways in the United States and Canada to mark a specific lane for a particular use. The lane will usually be painted with a lozenge at a regular interval, and signage will be installed to indicate the restrictions on using the lane. This marking is most often used to denote high-occupancy vehicle lanes, with accompanying signage reading "? HOV LANE" and giving the requirements for a vehicle to be accepted as "high-occupancy". Prior to 17 January 2006, lozenges could also be used to mark bicycle-only lanes, often in conjunction with a bicycle icon.

See also

  • Petrosomatoglyph
    Petrosomatoglyph

    A petrosomatoglyph is an image of parts of a human or animal body incised in rock. Many were created by Celtic peoples, such as the Picts, Gaels, Ireland, Cornish people, Cumbrians, Breton peoples and Wales....
     Lozenges as symbols in prehistory.
  • Píca
    Pica

    Pica may refer to:*Pica , in typesetting and document layout*Pica , abnormal appetite for earth and other non-foods*Pica , a genus of magpie...
     is a similar symbol.