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Lozenge
Lozenge
Punctuation
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A lozenge (), often referred to as a diamond, is a form of rhombus. The definition of lozenge is not strictly fixed, and it is sometimes used simply as a synonym (from the French losange) for rhombus. Most often, though, lozenge refers to a thin rhombus—a rhombus with acute angles of 45°.[1] The lozenge shape is often used in parquetry and as decoration on ceramics, silverware and textiles. It also features in heraldry and playing cards.

Contents

Symbolism [edit]

Sown fields in an open field system of farming.

The lozenge motif dates as far back as the Neolithic and Paleolithic period in Eastern Europe and represents a sown field and female fertility.[2] The ancient lozenge pattern often shows up in Diamond vault architecture, in traditional dress patterns of Slavic peoples, and in traditional Ukrainian embroidery. The lozenge pattern also appears extensively in Celtic art, art from the Ottoman Empire, and ancient Phrygian art.[3]

The lozenge symbolism is one of the main female symbol in Berber carpets.[4] Common Berber jewelry from the Aurès Mountains or Kabylie in Algeria also uses this pattern as a female fertility sign.

In 1658, the English philosopher Sir Thomas Browne published The Garden of Cyrus subtitled The Quincunciall Lozenge, or Network Plantations of the Ancients where he outlined the mystical interconnection of art, nature and the Universe. He suggested that ancient plantations used the quincunx pattern that revealed the "mystical mathematics of the city of Heaven"[5] and proof of the wisdom of God.

Lozenges appear as symbols in ancient classic element systems, in amulets, and in religious symbolism. In a suit of playing cards, diamonds is in the shape of a lozenge.

Encodings [edit]

In Unicode, the lozenge is encoded in multiple variants:

  • U+2311 square lozenge (HTML: ⌑)
  • U+25CA lozenge (HTML: ◊ ◊)[6]
  • U+2662 white diamond suit (HTML: ♢)
  • U+2666 black diamond suit (HTML: ♦ ♦)
  • U+27E0 lozenge divided by horizontal rule (HTML: ⟠)
  • U+29EB black lozenge (HTML: ⧫)
  • U+2B27 white medium lozenge (HTML: ⬧)
  • U+2B28 black medium lozenge (HTML: ⬨)
  • U+2B2A white small lozenge (HTML: ⬪)
  • U+2B2B black small lozenge (HTML: ⬫)

In IBM 026 punched card code it is ⌑ (12-8-4),[7] DOS code page 437 (at character code 4)[8] and Mac-Roman.
The LaTeX command for the lozenge is \lozenge.

Applications [edit]

Modal logic [edit]

In modal logic, the lozenge expresses that there is "possibility." For example, the expression \Diamond P expresses that it is possible that P is true.

Mathematics [edit]

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

Camouflage [edit]

A Fokker D.VII shows a four-color Lozenge-Tarnung (lozenge camouflage)

During the First World War, the Germans developed Lozenge-Tarnung (lozenge camouflage).[9] This camouflage was made up of colored polygons of four or five colors. The repeating patterns often used irregular four-, five- and six-sided polygons, but some contained regular rhombi or hexagons. Because painting such a pattern was very time consuming, and the paint added considerably to the weight of the aircraft, the pattern was printed on fabric. This pre-printed fabric was used from 1916 until the end of the war, in various forms and colours.

Heraldry [edit]

The lozenge in heraldry is a diamond-shaped charge, 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 [edit]

Cough tablets have taken the name lozenge, based on their original shape. According to the Oxford English Dictionary the first use of this sense was in 1530.

U.S. Military [edit]

To implement 10 U.S.C 773, the Secretary of the Navy has prescribed the following distinctive mark for wear by members of military societies which are composed entirely of honorably discharged officers and enlisted personnel, or by the instructors and members of duly organized cadet corps.

The distinctive mark will be a diamond, 3-1/2 inches long by two inches wide, of any cloth material. A white distinctive mark will be worn on blue, green, or khaki clothing; and a blue distinctive mark will be worn on white clothing.

The distinctive mark will be worn on all outer clothing on the right sleeve, at the point of the shoulder, the upper tip of the diamond to be 1/4 inch below the shoulder seam.

The lozenge is also used in the U.S. Army, Marine Corps, and Air Force on the insignia of their respective First Sergeants.

They are also used in the Junior ROTC and the Cadet Program in the Civil Air Patrol, for Cadet Officers corresponding to the military pay grades of O-4 to O-6 (C/Major, C/Lieutenant Colonel, and C/Colonel).

Finnish Defence Forces [edit]

In Finnish military ranks, the lozenge is found in the insignia of conscript officer students (one lozenge) and conscript officer cadets (two lozenges).

Transportation [edit]

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 or bus lanes, with accompanying signage reading "◊ HOV LANE" or "◊ BUS LANE" and giving the requirements for a vehicle to be accepted. Prior to 17 January 2006, lozenges could also be used to mark bicycle-only lanes, often in conjunction with a bicycle icon.[10] In New Zealand and Japan, a lozenge marked in white paint on the road indicates an upcoming uncontrolled pedestrian crossing.

Imagery [edit]

See also [edit]

References [edit]

  1. ^ Definition of lozenge at Mathworld web site
  2. ^ Welters, Linda (1999). Folk dress in Europe and Anatolia: beliefs about protection and fertility. Berg. pp. 16–21. ISBN 1-85973-282-8. 
  3. ^ Sams, Gilbert (1994). The early Phrygian pottery. Science Press. p. 151. ISBN [[Special:BookSources/09242171189|09242171189 [[Category:Articles with invalid ISBNs]]]] Check |isbn= value (help). 
  4. ^ Berber Carpets of Morocco: The Symbols Origin and Meaning, by Bruno Barbatti, ACR Edition, ISBN 978-2-86770-184-9.
  5. ^ Moore, Charles (1988). The Poetics of Gardens. The MIT Press. p. 161. ISBN 0-262-13231 Check |isbn= value (help). 
  6. ^ http://www.unicode.org/charts/PDF/U25A0.pdf
  7. ^ http://www.columbia.edu/cu/computinghistory/026.html
  8. ^ Valtanen, Esko (1990). DOS-OPAS. Teknolit. p. 649. ISBN 952-90-1220-9. 
  9. ^ http://www.wwiaviation.com/lozenge.html
  10. ^ "Phase-In Compliance Periods, Section 9B.04 Bicycle Lane Signs" Retrieved on 2009-01-17.

Original courtesy of Wikipedia: http://en.wikipedia.org/wiki/Lozenge — Please support Wikipedia.
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BBC News

Science Daily (press release)
Thu, 23 May 2013 19:48:33 -0700

May 23, 2013 — An academic paper on the archaeology of the Search for Richard III reveals for the first time specific details of the grave dug for King Richard III and discovered under a car park in Leicester.

FoodManufacture.co.uk

FoodManufacture.co.uk
Wed, 01 May 2013 02:13:30 -0700

Each herb lozenge is cut from a warm filament, leaving two ridged surfaces which, on cooling, present many brittle facets that can easily be damaged by collision with other lozenges or metal surfaces. On the new line, product arrives via a conveyor ...
 
The Independent
Thu, 23 May 2013 23:17:20 -0700

The lozenge-shaped grave was too short to contain the body conventionally, and there is evidence to suggest his hands might have been tied when he was buried. Researchers said someone is likely to have stood in the grave to receive the body, suggested ...

This is Leicestershire

This is Leicestershire
Fri, 24 May 2013 00:35:53 -0700

Rather gratifyingly, they didn't say very much. "Everything about the burial suggests haste, which could be interpreted as minimal reverence." He said Richard was casually placed in a badly-prepared lozenge-shaped grave, suggesting gravediggers were in ...
 
Sacramento Bee
Fri, 24 May 2013 00:01:55 -0700

NBA staffers had to supply the soft-spoken executive with a lozenge to soothe his spent voice. One woman in the crowd followed Ranadive with a sign that read, "In Vivek We Trust." And when he took the stage, draped in a custom Kings jersey with his ...

Telegraph.co.uk

Telegraph.co.uk
Thu, 23 May 2013 23:01:41 -0700

Designers John Brookes and Ann-Marie Powell were both drawn to Robert Myers' garden for Brewin Dolphin, where huge polished concrete “stones” are echoed in the lozenge shapes of box, framed by a very attractive and unusual hedge of pleached field ...
 
The Verge
Thu, 23 May 2013 16:02:02 -0700

Richard III was buried in a hurry, and in an "untidy lozenge-shaped grave." Whoever buried the king did so quickly and without much care. The information, released in a new research paper from the University of Leicester, makes it clear that the slain ...
 
Huffington Post
Thu, 23 May 2013 05:52:51 -0700

BEST: Ginger. Spices and herbs like ginger, turmeric and peppermint are great for settling an upset stomach, King says. Try drinking ginger or peppermint tea, or sucking on a peppermint lozenge.
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