Johannes Kepler (1571-1630) was a German mathematician and astronomer, a central figure of the Scientific Revolution best known for his three laws of planetary motion, which showed that planets travel in elliptical rather than circular orbits. In his 1611 pamphlet on the six-cornered snowflake he gave the first mathematical treatment of the close packing of equal spheres, conjecturing that no arrangement packs spheres more densely than the cubic and hexagonal close packings; the claim, now the Kepler Conjecture, was not proved until Thomas Hales's work of 1998 and its 2014 formal verification. Kepler also advanced the practical use of Napier's new logarithms, publishing his own eight-figure logarithm tables with the Rudolphine Tables in 1628. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
BirthplaceWeil der Stadt, Holy Roman Empire (present-day Germany) 1 Death PlaceRegensburg, Holy Roman Empire (present-day Germany) 1 Nationality / Culture Defining ContributionCalculated tables of eight-figure logarithms, published with his Rudolphine Tables in 1628, helping to establish Napier's new method as a practical tool for astronomers. 2 Defining ContributionFirst stated, in 1611, the conjecture that no packing of equal spheres in space is denser than cubic or hexagonal close packing, now called the Kepler Conjecture. 3 Defining ContributionFormulated the three laws of planetary motion, establishing that planets move in elliptical orbits and overturning the assumption of circular orbits that had held since antiquity. 1 Defining ContributionGave the first mathematical treatment of the close packing of equal spheres, an analysis he connected to the hexagonal shape of honeycomb cells. 2 Connections
Attributed Works
Source Wolfram MathWorld: Great Stellated Dodecahedron
Conjectures Posed
Kepler first stated the conjecture in 1611; it was proved by Thomas Hales in 1998.
Source Kepler Conjecture (Wikipedia)
In Branch
In the Other Atlases
Same As
Also in Space and Astronomy Atlas: the same subject.
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Johannes Kepler (Wikipedia)Lead paragraph of the cited Wikipedia articletier 2Quote, Lead paragraph of the cited Wikipedia article
Johannes Kepler (27 December 1571 – 15 November 1630) was a German polymath who was an astronomer, mathematician, astrologer, natural philosopher and music theorist.
Sources
1. Johannes Kepler (Wikipedia)
Wikimedia FoundationLead section
a key figure in the 17th-century Scientific Revolution, best known for his laws of planetary motion
- Infobox
Lead section, gender reference
He is a key figure in the 17th-century Scientific Revolution, best known for his laws of planetary motion, and his books Astronomia nova, Harmonice Mundi, and Epitome Astronomiae Copernicanae.
View the Source 2. Johannes Kepler, Biography (MacTutor History of Mathematics)
MacTutor History of Mathematics Archive, University of St AndrewsPage text
He also did important work in optics (1604 , 1611) , discovered two new regular polyhedra (1619) , gave the first mathematical treatment of close packing of equal spheres ( leading to an explanation of the shape of the cells of a honeycomb, 1611) , gave the first proof of how logarithms worked (1624) , and devised a method of finding the volumes of solids of revolution that ( with hindsight! ) can be seen as contributing to the development of calculus (1615 , 1616) .
Page text
Kepler calculated tables of eight-figure logarithms, which were published with the Rudolphine Tables ( Ulm, 1628) .
View the Source 3. Kepler Conjecture (Wikipedia)
Wikimedia FoundationOrigins sectionQuote, Origins section
The conjecture was first stated by Johannes Kepler (1611) in his paper 'On the six-cornered snowflake'.
View the Source Wolfram MathWorld: Great Stellated Dodecahedron
Wolfram MathWorldAttributed Works: Great Stellated Dodecahedron, LeadQuote, Attributed Works: Great Stellated Dodecahedron, Lead
It was rediscovered by Kepler (and published in his work Harmonice Mundi in 1619), and again by Poinsot in 1809.
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