six cornered snowflake

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The Six Cornered Snowflake

Author : Johannes Kepler
ISBN : 9781589882850
Genre : Science
File Size : 69. 9 MB
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"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

The Six Cornered Snowflake And Other Poems

Author : John Frederick Nims
ISBN : 0811211444
Genre : Poetry
File Size : 77. 14 MB
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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.

The Six Cornered Snowflake Edited And Translated By Colin Hardie With Essays By L L Whyte And B J Mason With Illustrations Lat Eng

Author : Johannes Kepler
ISBN : OCLC:561173092
Genre :
File Size : 85. 33 MB
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The Six Cornered Snowflake

Author : Johannes Kepler
ISBN : UCAL:B4253643
Genre : Science
File Size : 65. 73 MB
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The Six Cornered Snowflake

Author : Johannes Kepler
ISBN : OCLC:1075340953
Genre :
File Size : 23. 1 MB
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Structure Of Materials

Author : Marc De Graef
ISBN : 9780521651516
Genre : Science
File Size : 23. 31 MB
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Highly illustrated, self-contained textbook covering the fundamentals of crystallography, symmetry and diffraction, providing a full appreciation of material structure for advanced undergraduate or graduate courses within materials science and engineering. Includes over 430 illustrations and 400 homework problems. Solutions, data files for crystal structures, and appendices, available from www.cambridge.org/9780521651516.

Johann Kepler Oxford Bibliographies Online Research Guide

Author : Oxford University Press
ISBN : 0199809569
Genre : History
File Size : 28. 13 MB
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This ebook is a selective guide designed to help scholars and students of Islamic studies find reliable sources of information by directing them to the best available scholarly materials in whatever form or format they appear from books, chapters, and journal articles to online archives, electronic data sets, and blogs. Written by a leading international authority on the subject, the ebook provides bibliographic information supported by direct recommendations about which sources to consult and editorial commentary to make it clear how the cited sources are interrelated related. This ebook is a static version of an article from Oxford Bibliographies Online: Renaissance and Reformation, a dynamic, continuously updated, online resource designed to provide authoritative guidance through scholarship and other materials relevant to the study of European history and culture between the 14th and 17th centuries. Oxford Bibliographies Online covers most subject disciplines within the social science and humanities, for more information visit www.oxfordbibliographies.com.

To Breathe With Birds

Author : Vaclav Cilek
ISBN : 9780812246810
Genre : Architecture
File Size : 69. 16 MB
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Just as there is love at first sight between people, Václav Cílek writes, there can be love at first sight between a person and a place. A landscape is more than a location, it is one party in a relationship—even when the spirit of a certain setting is not perceptible to those who visit. But whether we travel to experience rapture or excitement, to discover truth and beauty, or to be dazzled, we search for the essence of faraway landscapes to gain perspective on our own place within the world. To Breathe with Birds delves into the imaginative and emotional bonds we form with landscapes and how human existence—a recent development, geologically speaking—shapes and is shaped by a sense of place. In subtle and lyrical prose, renowned geologist and author Václav Cílek explores topics from the history of asphalt to the spirits we imagine in trees, from geodiversity to the mathematics of snowflakes. Weaving earth science and environmentalism together with memoir and myth, his chapters visit resonant locations from India to Massachusetts, though most are deeply rooted in the river-laced, war-scarred landscape of Cílek's Czech homeland. These reflections are accompanied by Morna Livingston's evocative photographs, which capture the beauty and strangeness of natural and human-made forms. The first book-length appearance of Cílek's work in English translation, To Breathe with Birds offers insightful perspectives on the symbolism of landscapes as we struggle to conserve and protect the depleted earth.

What Galileo Saw

Author : Lawrence Lipking
ISBN : 9780801454844
Genre : Science
File Size : 83. 87 MB
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The Scientific Revolution of the seventeenth century has often been called a decisive turning point in human history. It represents, for good or ill, the birth of modern science and modern ways of viewing the world. In What Galileo Saw, Lawrence Lipking offers a new perspective on how to understand what happened then, arguing that artistic imagination and creativity as much as rational thought played a critical role in creating new visions of science and in shaping stories about eye-opening discoveries in cosmology, natural history, engineering, and the life sciences. When Galileo saw the face of the Moon and the moons of Jupiter, Lipking writes, he had to picture a cosmos that could account for them. Kepler thought his geometry could open a window into the mind of God. Francis Bacon's natural history envisioned an order of things that would replace the illusions of language with solid evidence and transform notions of life and death. Descartes designed a hypothetical "Book of Nature" to explain how everything in the universe was constructed. Thomas Browne reconceived the boundaries of truth and error. Robert Hooke, like Leonardo, was both researcher and artist; his schemes illuminate the microscopic and the macrocosmic. And when Isaac Newton imagined nature as a coherent and comprehensive mathematical system, he redefined the goals of science and the meaning of genius. What Galileo Saw bridges the divide between science and art; it brings together Galileo and Milton, Bacon and Shakespeare. Lipking enters the minds and the workshops where the Scientific Revolution was fashioned, drawing on art, literature, and the history of science to reimagine how perceptions about the world and human life could change so drastically, and change forever.

The Basics Of Crystallography And Diffraction

Author : Christopher Hammond
ISBN : 9780191567711
Genre : Science
File Size : 78. 36 MB
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This book provides a clear introduction to topics which are essential to students in a wide range of scientific disciplines but which are otherwise only covered in specialised and mathematically detailed texts. It shows how crystal structures may be built up from simple ideas of atomic packing and co-ordination, it develops the concepts of crystal symmetry, point and space groups by way of two dimensional examples of patterns and tilings, it explains the concept of the reciprocal lattice in simple terms and shows its importance in an understanding of light, X-ray and electron diffraction. Practical examples of the applications of these techniques are described and also the importance of diffraction in the performance of optical instruments. The book is also of value to the general reader since it shows, by biographical and historical references, how the subject has developed and thereby indicates some of the excitement of scientific discovery.

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