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-[[Image:Vesica Piscis.svg|thumb|right|220px|The Vesica Piscis]]
-The '''vesica piscis''' is a [[shape]] that is the intersection of two [[circle]]s with the same radius, intersecting in such a way that the center of each circle lies on the perimeter of the other. The name literally means the "bladder of a [[fish]]" in [[Latin]].  The shape is also called ''[[mandorla]]'' ("[[almond]]" in [[Italian language|Italian]]).
-The term is also used more generally for any symmetric [[Lens (geometry)|lens]].<ref>{{mathworld|title=Lens|urlname=Lens}}</ref>
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-== Mathematical description ==
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-[[Image:Chalice Well Cover.jpg|thumb|right|The modern cover of the Chalice Well with an artistic rendering of the vesica piscis]]
-The mathematical ratio of the height of the vesica piscis to the width across its center is the [[square root of 3]], or 1.7320508... (since if straight lines are drawn connecting the centers of the two circles with each other and with the two points where the circles intersect, two equilateral triangles join along an edge). The ratios 265:153 = 1.7320261... and 1351:780 = 1.7320513... are two of a series of [[Best rational approximation|approximations]] to this value, each with the property that no better approximation can be obtained with smaller whole numbers.  [[Archimedes|Archimedes of Syracuse]], in his ''[[On the Measurement of the Circle]]'', uses these ratios as upper and lower bounds:<ref>{{Citation| last = Heath| first = Thomas Little| year = 1897| title = The Works of Archimedes| publication-place = Cambridge University| pages = ''lxxvii ''; 50| url = http://www.archive.org/details/worksofarchimede029517mbp | accessdate = 2010-01-30}}</ref>
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-==Mysticism ==
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-The vesica piscis has been the subject of mystical speculation at several periods of history, and is viewed as important in some forms of [[Flower of Life|Kabbalah]]. More recently, numerous [[New Age]] authors have interpreted it as a [[yoni]]c symbol and claimed that this, a reference to the female genitals, is a traditional interpretation.<ref>Barbara Walker, The Woman's Encyclopedia of Myths and Secrets (Harper San Francisco, 1983).</ref><ref>Kevin L. Gest, The Secrets of Solomon's Temple (ISBN 0853182566).</ref><ref>Kathy Jones, The Goddess in Glastonbury (1990).</ref><ref>Margaret Starbird, Magdalene's Lost Legacy, Symbolic Numbers & Sacred Union.</ref><ref>Constance S. Rodriguez PhD, LCSW - Sacred Portals, Pathways to the Self (ISBN 9781403375926).</ref>
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-One author claims that the total [[solar eclipse]] inspires images of the vesica piscis.<ref>Nicholas R. Mann, ''The Sacred Geometry of Washington, D.C.'' p. 92 (Barnes & Noble, 2006)</ref> The ancient Egyptians practiced [[sacred geometry]] based on the shape. Architects and artists copied the solar eclipse/vesica piscis and its mathematics in their sacred buildings and artwork to reflect their religious beliefs. This ancient tradition was passed on through the centuries by the [[Freemasons]].<ref>Nicholas R. Mann, ''The Sacred Geometry of Washington, D.C.'', p. 92  (Barnes & Noble, 2006)</ref>
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-In [[Christian art]], some [[aureola]]s are in the shape of a vertically oriented vesica piscis, and the [[Seal (device)#Ecclesiastical_seals|seals of ecclesiastical organizations]] can be enclosed within a vertically oriented vesica piscis (instead of the more usual circular enclosure).
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-The cover of the [[Chalice Well]] in [[Glastonbury]] ([[Somerset]], [[United Kingdom]]) depicts a stylized version of the vesica piscis design (see picture).
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-The vesica piscis has been used as a symbol within [[Freemasonry]], most notably in the shapes of the collars worn by officiants of the Masonic rituals.<ref>J. S. M. Ward, An Interpretation of Our Masonic Symbols, 1924, pp. 34–35.</ref> It was also considered the proper shape for the enclosure of the seals of Masonic lodges.<ref>Albert G. Mackey, Encyclopaedia of Freemasonry, 1921 ed., vol. 2, p. 827.</ref><ref>Shawn Eyer, [http://academialodge.org/article_vesica_piscis.php The Vesica Piscis and Freemasonry]. Retrieved on 2009-04-18.</ref>
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-The vesica piscis is also used as proportioning system in architecture, in particular [[Gothic architecture]]. The system was illustrated in [[Cesare Cesariano]]'s Vitruvius (1521), which he called "the rule of the German architects".
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-The shape is sometimes used for [[rapid transit#Network topologies|rapid transit systems]].
+ </ul>
-==Gallery==
-<gallery>
-File:Codex Bruchsal 1 01v cropped.jpg|[[Christ in Majesty]] within a mandorla-shaped [[aureola]] in a medieval [[illuminated manuscript]]
-File:CLUNY-Coffret Christ 1.JPG|[[Christ in majesty]] within a mandorla-shaped [[aureola]], surrounded by emblems of the evangelists (13th century)
-File:Groenbaek Kalkmaleri detalje.jpg|Christ within a mandorla-shaped [[aureola]], surrounded by emblems of the evangelists (fresco)
-File:CofSBurningBushLogo.JPG|[[Church of Scotland]] logo
-File:Coat_of_arms_of_Guam.svg|Coat of arms of [[Guam]]
-File:Como - San Fedele - Madonna in Mandorla.jpg|[[Madonna (art)|Madonna]] in mandorla attended by angels.
-File:Johns Hopkins University seal.svg|Official seal of [[Johns Hopkins University]]
-</gallery>
-==References==
-{{reflist}}
-{{commonscat|Vesica piscis}}
-==See also==
-*[[Halo (religious iconography)]]
-*[[Ichthys]]
-*[[Flower of Life]]
-*[[Villarceau circles]]
-*[[Triquetra]]
-*[[Reuleaux polygon]]
-*[[Vesicle pisces]]
-*[[Catch of 153 fish]]
-*[[Venn diagram]]
-*[[Intersection (set theory)]]
-*[[Swim bladder]]
-[[Category:Mathematics and mysticism]]
-[[Category:Visual motifs]]
-[[Category:Geometric shapes]]
-[[Category:Iconography]]

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