Tacoma Narrows Bridge (1940): Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Gilliam
m Reverted edits by 175.139.124.133 (talk) to last version by Skr15081997
Line 1: Line 1:
{{about|the shape|the cough tablets|Throat lozenge|the heraldic element|Lozenge (heraldry)}}
48 year-old Complementary Health Specialist Timothy from Fenelon Falls, loves to spend time parachuting, diet and kids. Recently took some time to visit San Cristóbal de La Laguna.
{{redirect|◊||Diamond (disambiguation)}}
[[File:Rhombus.png|thumb|Lozenge]]
 
{{Punctuation marks|◊}}
 
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 language|French]] ''losange'') for rhombus.  Most often, though, lozenge refers to a thin rhombus&mdash;a rhombus with acute angles of 45°.<ref name="Mathworld">[http://mathworld.wolfram.com/Lozenge.html Definition of lozenge at Mathworld web site]</ref> The lozenge shape is often used in [[parquetry]] and as [[decorative art|decoration]] on [[ceramics (art)|ceramics]], [[Silver (household)|silverware]] and [[textile]]s. It also features in [[heraldry]] and [[Suit (cards)|playing cards]].
 
==Symbolism==
[[File:Moforlogiaagrária.jpg|thumb|left|Sown fields in an [[open field system]] of farming.]]
The lozenge motif dates as far back as the [[Neolithic]] and [[Paleolithic art|Paleolithic]] period in [[Eastern Europe]] and represents a [[sown]] [[Field (agriculture)|field]] and female [[fertility]].<ref>{{cite book | first=Linda | last=Welters | title=Folk dress in Europe and Anatolia: beliefs about protection and fertility | publisher = Berg |year= 1999 | pages = 16–21 | isbn = 1-85973-282-8 | url=http://books.google.com/books?id=35oIbNIIn-8C&pg=PA16&lpg=PA16&dq=lozenge+in+Ukrainian+embroidery#v=onepage&q=lozenge%20in%20Ukrainian%20embroidery&f=false}}</ref> 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 [[Phrygia]]n art.<ref>{{cite book | first=Gilbert | last=Sams | title=The early Phrygian pottery | publisher = Science Press |year= 1994 | pages = 151 | isbn = 0924171189 | url=http://books.google.com/books?id=KhBQCbBi-64C&pg=PA151&dq=lozenge#v=onepage&q=lozenge&f=false}}</ref>
 
The lozenge symbolism is one of the main female symbols in [[Berber people|Berber]] carpets.<ref>Berber Carpets of Morocco: The Symbols Origin and Meaning, by [[Bruno Barbatti]], ACR Edition, ISBN 978-2-86770-184-9.</ref>
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 [[mysticism|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"<ref>{{cite book | first=Charles | last=Moore | title=The Poetics of Gardens | publisher = The MIT Press |year= 1988 | pages = 161 | isbn = 0262631539 | url=http://books.google.com/books?id=wnKiKy9_2u4C&pg=PA161&lpg=PA161&dq=quincuncial+lozenge#v=onepage&q=quincuncial%20lozenge&f=false}}</ref> and proof of the wisdom of [[God]].
 
Lozenges appear as [[symbols]] in [[Classical element|ancient classic element systems]], in [[amulets]], and in [[religious symbolism]]. In a [[Suit (cards)|suit]] of [[playing cards]], ''diamonds'' is in the shape of a lozenge.
 
==Encodings==
In [[Unicode]], the lozenge is encoded in multiple variants:
 
* {{unichar|2311|SQUARE LOZENGE|html=}}
* {{unichar|25CA|Lozenge|nlink=|html=}}<ref>http://www.unicode.org/charts/PDF/U25A0.pdf</ref>
* {{unichar|2662|WHITE DIAMOND SUIT|nlink=&#x2662;|html=}}
* {{unichar|2666|BLACK DIAMOND SUIT|nlink=&#x2666;|html=}}
* {{unichar|27E0|LOZENGE DIVIDED BY HORIZONTAL RULE|nlink=&#x27E0;|html=}}
* {{unichar|29EB|BLACK LOZENGE|html=}}
* {{unichar|2B27|WHITE MEDIUM LOZENGE|html=}}
* {{unichar|2B28|BLACK MEDIUM LOZENGE|html=}}
* {{unichar|2B2A|WHITE SMALL LOZENGE|html=}}
* {{unichar|2B2B|BLACK SMALL LOZENGE|html=}}
 
In IBM 026 [[punched card]] code it is ⌑ (12-8-4),<ref>http://www.columbia.edu/cu/computinghistory/026.html</ref> [[DOS]] [[code page 437]] (at character code 4)<ref>{{cite book | first=Esko | last=Valtanen | title=DOS-OPAS | publisher = Teknolit |year= 1990 | pages = 649 | isbn = 952-90-1220-9}}</ref> and [[Mac-Roman]].<br/>
The [[LaTeX]] command for the lozenge is <code>\lozenge</code>.
 
==Applications==
===Modal logic===
In [[modal logic]], the lozenge expresses that there is "possibility." For example, the expression <math>\lozenge P</math> expresses that it is possible that <math>P</math> is true.
 
===Mathematics===
In [[axiomatic set theory]], the lozenge refers to the principles known collectively as [[diamondsuit]].
 
===Camouflage===
[[File:Fokker D VII.jpg|thumb|250px|A [[Fokker D.VII]] shows a four-color ''Lozenge-Tarnung'' (lozenge camouflage)]]
{{Main|Lozenge camouflage}}
During the [[World War I|First World War]], the [[Germany|Germans]] developed ''Lozenge-Tarnung'' ([[lozenge camouflage]]).<ref>http://www.wwiaviation.com/lozenge.html</ref> This camouflage was made up of colored [[polygon]]s 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===
{{main|Lozenge (heraldry)}}
The lozenge in [[heraldry]] is a diamond-shaped [[charge (heraldry)|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===
{{main|Throat lozenge}}
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.
 
In Finland, the lozenge is associated with [[salmiak]], through Apteekin Salmiakki. Thus, the lozenge is commonly called ''salmiakkikuvio'' "salmiak shape". The pattern is often used even if the candy is not actually lozenge-shaped.
 
===U.S. Military===
 
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. [[United States Army|Army]], [[United States Marine Corps|Marine Corps]], and [[United States Air Force|Air Force]] on the insignia of their respective [[First Sergeant]]s.
 
They are also used in the [[Junior Reserve Officers' Training Corps|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===
In [[Finnish military ranks]], the lozenge is found in the insignia of conscript officer students (one lozenge) and conscript officer cadets (two lozenges).
 
===Transportation===
[[File:Bicycle lane sign.svg|thumb|left|[[Bicycle lane]] sign]]
The lozenge (technically a mascle) 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 lane]]s or [[bus lane]]s, 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.<ref>[http://mutcd.fhwa.dot.gov/kno-compliance.htm "Phase-In Compliance Periods, Section 9B.04 Bicycle Lane Signs"] Retrieved on 2009-01-17.</ref>  In New Zealand and Japan, a lozenge marked in white paint on the road indicates an upcoming uncontrolled pedestrian crossing.
{{-}}
 
==Imagery==
<gallery>
Image:Museum of Anatolian Civilizations068.jpg|Phrygian art, 7th Century BC
Image:MotherGoddessFertility.JPG|[[Cucuteni-Trypillian culture|Cucuteni-Trypillian]] figurine with sown field pattern
Image:Lozenge.jpg|[[Bush Barrow]] Lozenge [[British Bronze Age]]
Image:Antique oushak carpet with a pale red and green tone.jpg|[[Ushak carpet]], [[Ottoman Empire]]
Image:Yantprapidta.JPG|[[Khatha]], sacred [[Yantra]] amulet from [[Thailand]]
Image:Ashthalakshmi - Star of Laxmi.svg|[[Hindu]] [[Star of Lakshmi]]
Image:ROUB EL HIZB 06DE.svg|[[Muslim]] [[Rub el Hizb]]
Image:2152085cab.png|[[Magic squares]] were used as [[amulets]]
Image:Talis02.png|[[Grimoire]] manuscripts originated in [[Mesopotamia]]
Image:Qur'an 4475.jpg|[[Arabic]] manuscript [[China]], 16th Century
Image:Carolus Magnus denarus Tarvisii.jpg|[[Charlemagne]] coins, [[French denier|denier]] or denaro ca. 771-793
Image:Dish with floral lozenge from the Belitung shipwreck, ArtScience Museum, Singapore - 20110618.jpg|[[Belitung shipwreck]], [[Tang Dynasty]] ca.825
Image:Berezhany- (267).jpg|Traditional sown field pattern of [[Western Ukraine]]
Image:Armenian rug-9 Kazak.jpg|[[Armenia]]n tapestry
Image:RR 02.png|[[Rongorongo]] [[proto-writing]], possible [[lunar calendar]] calculating device
Image:Epigonation (1911).jpg|[[Epigonation]] in [[Eastern Christianity]]
Image:Four elements representation.svg|[[Greece|Greek]] [[Classical element]]s
Image:COAabbess.png|In [[Ecclesiastical heraldry]] [[Lozenge (heraldry)|lozenge shape]] is reserved for females
Image:WASPbadge.jpg|[[Women Airforce Service Pilots Badge]]
Image:Flag of Belarus.svg|National flag of [[Belarus]] with sown field pattern
Image:Arms of Catherine Middleton.svg|[[Coat of arms]] [[Lozenge (heraldry)|lozenge shape]] is reserved for females
Image:White d a.svg|[[Ace of diamonds]]
Image:Peterpaul sfbgewoelbe.JPG|[[Diamond vault]] in German architecture
Image:Ledringhem-runes.jpg|''Rune''-shaped designs (five-lozenges cross and heart) on the gable of [[Ledringhem]]'s church
 
</gallery>
 
==See also==
{{Wiktionary|lozenge}}
* [[Petrosomatoglyph]] Lozenges as symbols in prehistory.
* [[Píča]] is a similar symbol.
* [[Throat lozenge]]
 
==References==
{{Reflist}}
 
[[Category:Quadrilaterals]]
[[Category:Logic symbols]]

Revision as of 04:53, 8 February 2014

48 year-old Complementary Health Specialist Timothy from Fenelon Falls, loves to spend time parachuting, diet and kids. Recently took some time to visit San Cristóbal de La Laguna.