The Six-Cornered Snowflake PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Six-Cornered Snowflake PDF full book. Access full book title The Six-Cornered Snowflake by Johannes Kepler. Download full books in PDF and EPUB format.
Author: Johannes Kepler
Publisher: Paul Dry Books
ISBN: 1589882857
Category : Science
Languages : en
Pages : 160
Get Book
Book Description
"In 1611, Kepler wrote an essay wondering why snowflakes always had perfect, sixfold symmetry. It's a simple enough question, but one that no one had ever asked before and one that couldn't actually be answered for another three centuries. Still, in trying to work out an answer, Kepler raised some fascinating questions about physics, math, and biology, and now you can watch in wonder as a great scientific genius unleashes the full force of his intellect on a seemingly trivial question, complete with new illustrations and essays to put it all in perspective."—io9, from their list "10 Amazing Science Books That Reveal The Wonders Of The Universe" When snow began to fall while he was walking across the Charles Bridge in Prague late in 1610, the eminent astronomer Johannes Kepler asked himself the following question: Why do snowflakes, when they first fall, and before they are entangled into larger clumps, always come down with six corners and with six radii tufted like feathers? In his effort to answer this charming and never-before-asked question about snowflakes, Kepler delves into the nature of beehives, peapods, pomegranates, five-petaled flowers, the spiral shape of the snail's shell, and the formative power of nature itself. While he did not answer his original question—it remained a mystery for another three hundred years—he did find an occasion for deep and playful thought. "A most suitable book for any and all during the winter and holiday seasons is a reissue of a holiday present by the great mathematician and astronomer Johannes Kepler…Even the endnotes in this wonderful little book are interesting and educationally fun to read."—Jay Pasachoff, The Key Reporter —New English translation by Jacques Bromberg —Latin text on facing pages —An essay, "The Delights of a Roving Mind" by Owen Gingerich —An essay, "On The Six-Cornered Snowflake" by Guillermo Bleichmar —Snowflake illustrations by Capi Corrales Rodriganez —John Frederick Nims' poem "The Six-Cornered Snowflake" —Notes by Jacques Bromberg and Guillermo Bleichmar
Author: Johannes Kepler
Publisher: Paul Dry Books
ISBN: 1589882857
Category : Science
Languages : en
Pages : 160
Get Book
Book Description
"In 1611, Kepler wrote an essay wondering why snowflakes always had perfect, sixfold symmetry. It's a simple enough question, but one that no one had ever asked before and one that couldn't actually be answered for another three centuries. Still, in trying to work out an answer, Kepler raised some fascinating questions about physics, math, and biology, and now you can watch in wonder as a great scientific genius unleashes the full force of his intellect on a seemingly trivial question, complete with new illustrations and essays to put it all in perspective."—io9, from their list "10 Amazing Science Books That Reveal The Wonders Of The Universe" When snow began to fall while he was walking across the Charles Bridge in Prague late in 1610, the eminent astronomer Johannes Kepler asked himself the following question: Why do snowflakes, when they first fall, and before they are entangled into larger clumps, always come down with six corners and with six radii tufted like feathers? In his effort to answer this charming and never-before-asked question about snowflakes, Kepler delves into the nature of beehives, peapods, pomegranates, five-petaled flowers, the spiral shape of the snail's shell, and the formative power of nature itself. While he did not answer his original question—it remained a mystery for another three hundred years—he did find an occasion for deep and playful thought. "A most suitable book for any and all during the winter and holiday seasons is a reissue of a holiday present by the great mathematician and astronomer Johannes Kepler…Even the endnotes in this wonderful little book are interesting and educationally fun to read."—Jay Pasachoff, The Key Reporter —New English translation by Jacques Bromberg —Latin text on facing pages —An essay, "The Delights of a Roving Mind" by Owen Gingerich —An essay, "On The Six-Cornered Snowflake" by Guillermo Bleichmar —Snowflake illustrations by Capi Corrales Rodriganez —John Frederick Nims' poem "The Six-Cornered Snowflake" —Notes by Jacques Bromberg and Guillermo Bleichmar
Author: Johannes Kepler
Publisher: Oxford Classic Texts in the Ph
ISBN: 9780198712497
Category : Science
Languages : en
Pages : 0
Get Book
Book Description
Kepler's essay, On the Six-Cornered Snowflake, provides the first published evidence of the ideas of regular arrangements and close-packing which have proved fundamental to crystallography. In it, Kepler ponders on the problem of why snowflakes are hexagonal, two centuries before the first successful steps were taken towards its solution. The purpose of this volume is to display the historical, literary, scientific, and philosophical treasures of Kepler's essay. The book includes the modernized text of the 1611 Latin edition, with an English translation by Colin Hardie on the opposite pages. The text is accompanied by an introduction giving details of the history of the work, and two essays; Professor B. J. Mason's discussion of the scientific meaning and validity of Kepler's arguments and their relation to the history of crystallography and of space filling, and L. L. Whyte's examination of Kepler's facultas formatrix in relation to the history of philosophical and scientific ideas on the genesis of forms.
Author: John Frederick Nims
Publisher: New Directions Publishing
ISBN: 9780811211437
Category : Literary Criticism
Languages : en
Pages : 76
Get Book
Book Description
As a preeminent modernist poet and translator of the classics, John Frederick Nims's work is an elegant fusion of contemporary sensibility with formalist experimentation. But form, for this writer of meditative verse, is only a helpmeet to the quintessential content of the poem, the meaning that gives it value in our time and, one hopes, beyond. Concerning the formal elements of poetry, Nims comments: "One might say they are like the scaffolding at a construction site, meant to be thrown away and not regarded once the building is completed." In his newest collection, The Six-Cornered Snowflake, his poems range through an astonishing variety of complex structures: the shaped-poem of the title work, the sestina, the vocal "Pindar's lattice" of the "First Olympian Ode," the nervous galliambics of "Catullus 63"--just to name a few. As William Pritchard, writing for The New York Times Book Review, so aptly observed, "Mr. Nims has consistently had the nerve to be interested in what language could be made to do, rather than what the psyche would be made to reveal."
Author: Wilson Alwyn Bentley
Publisher:
ISBN:
Category : Crystallization
Languages : en
Pages : 242
Get Book
Book Description
Author: Ian Stewart
Publisher: Basic Books
ISBN: 0786723920
Category : Science
Languages : en
Pages : 176
Get Book
Book Description
"It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book."—Los Angeles Times
Author: C. Leon Wall
Publisher: [Phoenix, Ariz.] : United States Department of the Interior, Division of Education, Bureau of Indian Affairs
ISBN:
Category : Navajo language
Languages : en
Pages : 86
Get Book
Book Description
In response to a recent surge of interest in Native American history, culture, and lore, Hippocrene brings you a concise and straightforward dictionary of the Navajo tongue. The dictionary is designed to aid Navajos learning English as well as English speakers interested in acquiring knowledge of Navajo. The largest of all the Native American tribes, the Navajo number about 125,000 and live mostly on reservations in Arizona, New Mexico, and Utah. Over 9,000 entries; A detailed section on Navajo pronunciation; A comprehensive, modern vocabulary; Useful, everyday expressions.
Author: Patrick J. Boner
Publisher: BRILL
ISBN: 9004246096
Category : History
Languages : en
Pages : 201
Get Book
Book Description
The cosmology of Johannes Kepler remains a mystery. On the one hand, Kepler’s speculations on spiritual faculties are seen as the remnants of Renaissance philosophy. On the other, his comparison of the cosmos to a clock summons the mechanical metaphor that shaped modern science. This book explores the inseparable connections between Kepler’s vitalistic views and his more enduring accomplishments in astronomy. The key argument is that Kepler’s ‘celestial biology’ served as a bridge between his revolutionary astronomy and other ‘less scientific’ interests, particularly astrology. Kepler's Cosmological Synthesis sheds new light on one of the foundational figures of the Scientific Revolution. By uncovering a new form of coherence in Kepler’s world picture, it traces the unlikely intersections of mechanism and vitalism that transformed the fabric of the heavens.
Author: Jeffrey C. Lagarias
Publisher: Springer Science & Business Media
ISBN: 1461411297
Category : Mathematics
Languages : en
Pages : 456
Get Book
Book Description
The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.
Author: Nancy Campbell
Publisher:
ISBN: 9781471169342
Category : Arctic regions
Languages : en
Pages : 336
Get Book
Book Description
'A wonderful book: Nancy Campbell is a fine storyteller with a rare physical intelligence. The extraordinary brilliance of her eye confers the reader a total immersion in the rimy realms she explores. Glaciers, Arctic floe, verglas, frost and snow -- I can think of no better or warmer guide to the icy ends of the Earth' Dan Richards, author of Climbing Days A vivid and perceptive book combining memoir, scientific and cultural history with a bewitching account of landscape and place, which will appeal to readers of Robert Macfarlane, Roger Deakin and Olivia Laing. Long captivated by the solid yet impermanent nature of ice, by its stark, rugged beauty, acclaimed poet and writer Nancy Campbell sets out from the world's northernmost museum - at Upernavik in Greenland - to explore it in all its facets. From the Bodleian Library archives to the traces left by the great polar expeditions, from remote Arctic settlements to the ice houses of Calcutta, she examines the impact of ice on our lives at a time when it is itself under threat from climate change. The Library of Ice is a fascinating and beautifully rendered evocation of the interplay of people and their environment on a fragile planet, and of a writer's quest to define the value of her work in a disappearing landscape. 'The writer and poet offers reflections on ice and snow that draw on art, science and history... a dreamlike book.' - The Guardian 'It is a sparkling and wonderful meditation on a substance we must cherish' - The Independent 'It is a pleasant brew infused with elements not only of travel and history, but also of memoir and personal reflection'- Literary Review 'Ms Campbell, a penniless but intrepid traveller, braves miserable bus journeys, freezing rain, dark and intense cold, but still manages to write rapturously of the beauties of the Arctic'- The Economist
Author: Ukichirō Nakaya
Publisher:
ISBN:
Category : Snowflakes
Languages : en
Pages : 16
Get Book
Book Description
