Editing Fields Medal (section)

==Medal==
[[File:FieldsMedalBack.jpg|thumb|right|The reverse of the Fields Medal]]
The medal was designed by Canadian sculptor [[R. Tait McKenzie]].<ref>{{cite web |url=http://www.fields.utoronto.ca/aboutus/jcfields/fields_medal.html |title=Fields Institute – The Fields Medal |publisher=Fields.utoronto.ca |date=9 August 1932 |access-date=21 August 2010 |archive-date=1 April 2022 |archive-url=https://web.archive.org/web/20220401044832/http://www.fields.utoronto.ca/aboutus/jcfields/fields_medal.html |url-status=live }}</ref> It is made of 14KT gold, has a diameter of 63.5mm, and weighs 169g.<ref>{{cite web |url=https://www.mathunion.org/imu-awards/fields-medal |title=Fields Medal |publisher=International Mathematical Union |date=2022 |access-date=July 7, 2022 |archive-date=26 December 2018 |archive-url=https://web.archive.org/web/20181226015744/https://www.mathunion.org/imu-awards/fields-medal |url-status=live }}</ref>

* On the obverse is [[Archimedes]] and a quote attributed to 1st century AD poet [[Marcus Manilius|Manilius]], which reads in Latin: <span style="font-variant: all-small-caps;">{{lang|la|Transire suum pectus mundoque potiri|italic=no}}</span> ("To surpass one's understanding and master the world").<ref>{{Cite journal|last=Riehm|first=C.|date=2002|title=The early history of the Fields Medal|url=https://www.ams.org/notices/200207/comm-riehm.pdf|journal=Notices of the AMS|volume=49|issue=7|pages=778–782|quote=The Latin inscription from the Roman poet Manilius surrounding the image may be translated 'To pass beyond your understanding and make yourself master of the universe.' The phrase comes from Manilius's Astronomica 4.392 from the first century A.D. (p. 782).|access-date=28 April 2021|archive-date=26 October 2006|archive-url=https://web.archive.org/web/20061026000014/http://www.ams.org/notices/200207/comm-riehm.pdf|url-status=live}}</ref><ref>{{Cite web|date=5 February 2015|title=The Fields Medal|url=http://www.fields.utoronto.ca/about/fields-medal|access-date=23 April 2021|website=Fields Institute for Research in Mathematical Sciences|language=en|archive-date=23 April 2021|archive-url=https://web.archive.org/web/20210423094533/http://www.fields.utoronto.ca/about/fields-medal|url-status=live}}</ref> The year number 1933 is written in Roman numerals and contains an error (MC'''N'''XXXIII rather than MC'''M'''XXXIII).<ref>{{cite book|first=Eberhard|last=Knobloch|chapter=Generality and Infinitely Small Quantities in Leibniz's Mathematics: The Case of his Arithmetical Quadrature of Conic Sections and Related Curves|title=Infinitesimal Differences: Controversies between Leibniz and his Contemporaries|editor-first1=Ursula|editor-last1=Goldenbaum|editor-first2=Douglas|editor-last2=Jesseph|publisher=[[Walter de Gruyter]]|date=2008}}</ref> In capital Greek letters the word Ἀρχιμηδους, or "of Archimedes," is inscribed.
* On the reverse is the inscription:

:: <span style="display: inline-block; font-variant: all-small-caps; line-height:1; text-align: center">{{lang|la|Congregati<br/>ex toto orbe<br/>mathematici<br/>ob scripta insignia<br/>tribuere|italic=no}}</span>

Translation: "Mathematicians gathered from the entire world have awarded [understood but not written: 'this prize'] for outstanding writings."

In the background, there is the representation of Archimedes' [[Archimedes#Biography|tomb]], with the carving illustrating his theorem [[On the Sphere and Cylinder]], behind an olive branch. (This is the mathematical result of which Archimedes was reportedly most proud: Given a sphere and a circumscribed cylinder of the same height and diameter, the ratio between their volumes is equal to {{frac|2|3}}.)

The rim bears the name of the prizewinner.<ref name="Fields Institute for Research in Mathematical Sciences 2015">{{cite web | title=The Fields Medal | website=Fields Institute for Research in Mathematical Sciences | date=2015-02-05 | url=http://www.fields.utoronto.ca/about/fields-medal | access-date=2022-08-30 | archive-date=23 April 2021 | archive-url=https://web.archive.org/web/20210423094533/http://www.fields.utoronto.ca/about/fields-medal | url-status=live }}</ref>