Lamé's special quartic
id:
lam-s-special-quartic-278-3115404
title:
Lamé's special quartic
text:
Lamé's special quartic, named after Gabriel Lamé, is the graph of the equation where r > 0 . It looks like a rounded square with "sides" of length 2 r and centered on the origin. This curve is a squircle centered on the origin, and it is a special case of a superellipse. Because of Pierre de Fermat's only surviving proof, that of the n = 4 case of Fermat's Last Theorem, if r is rational there is no non-trivial rational point (x, y) on this curve (that is, no point for which both x and y are non-
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Lam%C3%A9%27s_special_quartic
date created:
date modified:
2024-03-10T12:13:15Z
main entity:
{"identifier":"Q6482773","url":"https://www.wikidata.org/entity/Q6482773"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/8a/Superellipse_chamfered_square.svg","width":600,"height":600}
fields total:
13
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14