Slicing a Cone for Art and Science Renaissance artist Albrecht Durer searched for beauty with mathematics

被引：0

作者：

Silver, Daniel S. ^{[1
]}

机构：

[1] Univ S Alabama, Dept Math & Stat, Mobile, AL 36688 USA

来源：

AMERICAN SCIENTIST | 2012年 / 100卷 / 05期

关键词：

D O I：

10.1511/2012.98.408

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The article discusses how renaissance artist Albrecht Dürer searched for beauty with mathematics. He used geometry to uncover nature's hidden formulas for beauty. His efforts influenced renowned mathematicians, including Gerolamo Cardano and Niccolo Tartaglia, as well as famous scientists such as Galileo Galilei and Johannes Kepler. Dürer's nature can seem contradictory. Although steadfastly religious, he sought answers in mathematics. He was outwardly modest but inwardly vain. The gravity of Dürer's quest can be sensed in his enigmatic engraving Melencolia I. Now approaching the 500th anniversary of its creation, Melencolia I has been the subject of more academic debate than any other print in history. Ingenious ruler-and-compass constructions abound in the Painter's Manual. Dürer's construction of a regular pentagon is particularly noteworthy. The construction was due not to Euclid but rather to one that had been taught by Ptolemy and is found in his Almagest.

引用

页码：408 / 415

页数：8

共 18 条

[1]

[Anonymous], 1955, LIFE ART A DURER

[2]

Coolidge J. L., 1968, A history of the conic sections and quadratic surfaces

[3]

Eaton Fred A., 1882, A DURER HIS LIFE WOR

[4]

Eves H., 1969, An introduction to the history of mathematics, V3rd

[5]

Guppy Henry, 1902, LIB ASS RECORD, VIV

[6]

Heaton Charles, 1870, HIST LIFE A DURER NU

[7]

Herz-Fischler R., 1990, Math. Mag., V63, P75, DOI [DOI 10.2307/2691062, 10.1080/0025570X.1990.11977491, DOI 10.1080/0025570X.1990.11977491]

[8]

Knowles Middleton William Edgar, 1961, ISIS, V52, P533

[9]

Pack Stephen F., 1966, THESIS MCGILL U

[10]

Russell Frances., 1967, The World of Durer

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