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Inventing the Circle: The Geometry of Nature
  
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Inventing the Circle: The Geometry of Nature [Paperback]

Johan Gielis (Author)
5.0 out of 5 stars  See all reviews (3 customer reviews)


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Book Description

November 2003
Nature has covered the earth with an endless variety of shapes, the most fascinating of which have always been the most basic and most fundamental: the symmetry of a perfectly formed orange, a five-pointed starfish, a honeycomb polygon, an oval egg. To biologists, each natural shape seems somehow unique, but to a mathematician, they are but a close representation of a true circle, or star, or oval, or hexagon.

For centuries, biology and mathematics have existed on separate planes – geometry defined precise formulas for creating a circle, square, star, or any other shape; yet in nature, there is no true shape because all natural shapes are inexact.

But why? If all life forms evolved from single cells, could not all shapes derive from a single geometric equation, a single mathematical formula? And if we could identify this superformula, wouldn’t it change how we visualize virtually everything in our environment? Wouldn’t it revolutionize computer graphics and engineering design?

In 1998, Belgian Botanist Johan Gielis happened upon precisely that equation – that Superformula. Since then, the sheer elegance and simplicity of his discovery has driven Gielis to ask himself again and again, "How could this be? What could be wrong with this idea? How could such a basic and important mathematical concept have gone undiscovered by so many and for so long – literally thousands of years?

Inventing the Circle: The geometry of Nature is a landmark scientific work that takes the reader on an essential journey, exploring the beauty of nature with new eyes through magnificent images, and discovering a fundamental, yet extraordinary concept that may well be the most important mathematical discovery of our time – the Superformula.


Editorial Reviews

Review

I would love to see your work read and admired by plant biologists worldwide -- Prof. Karl Niklas, Cornell Univ., Editor in Chief, American Journal of Botany

This equation will unveil new aspects of nature and will lead to a large number of new technological applications. -- Prof. Tom Gerats, Catholic University of Nijmegen

Very instructive and fascinating. A gateway is opened to a "higher level" of awareness about the geometrical foundations of nature. -- Dr. René Scurbecq , Math teacher

About the Author

Johan Gielis is founder and managing director of Genicap, a software firm involved in developing computer applications of the Superformula. He holds a degree in industrial engineering with an unusual combination of specialties in plant biotechnology and mathematics. Since 1986, he has been responsible for Research and Development and Technology Transfer at Oprins Plant NV, Belgium. Among his accomplishments is the development of a state of the art propagation technology for bamboo which allowed the firm to become the market leader in bamboo production worldwide. He is also coordinator of the Bamboo Thematic Network, an EU-funded worldwide network. The discovery of the Superformula led Johan to found his own companies, Geniaal bvba, in 1999 to develop his ideas further for various applications in education, science, and technology, and Genicap in 2002,

Product Details

  • Paperback: 188 pages
  • Publisher: Geniaal Press (November 2003)
  • ISBN-10: 9080775614
  • ISBN-13: 978-9080775619
  • Product Dimensions: 11.9 x 8.5 x 0.6 inches
  • Shipping Weight: 2.3 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #7,010,488 in Books (See Top 100 in Books)

 

Customer Reviews

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Average Customer Review
5.0 out of 5 stars (3 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

3 of 3 people found the following review helpful:
5.0 out of 5 stars Inventing the circle, review, November 21, 2003
This review is from: Inventing the Circle: The Geometry of Nature (Paperback)
This book is a very visual one with many pictures of astonishing examples on how a simple formula can model a whole range of shapes that are applied by mother Nature.

The math behind it all is represented in a very accessible way with nice illustrations, making the book readable for a wide range of people. I would recommend this one to anyone who has even the slightest interest in plants, flowers and likes to see how (next to engineers and architects) even mother Nature uses mathematical models in its shape design.

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5.0 out of 5 stars The Shape of Things to Come, February 3, 2004
This review is from: Inventing the Circle: The Geometry of Nature (Paperback)
For centuries, scientists have sought to define natural forms through mathematical terms. Johan Gielis has created an elegantly simple equation that connects circles, polygons, and patterns in nature such as spider's webs, shells, and plants.

Discovered in 1999 by Johan Gielis, the Superformula has won universal acclaim from the scientific and mathematic community and has been featured in publications by American Mathematical Society and Nature.

Knowledge of advanced math is not needed in order to understand the Superformula; a grasp of high school level math, geometry, and the Pythagorean Theorem is sufficient. Even better, this formula appeals to creative minds that think out of the box when seeking solutions to problems. With use of this formula, untold new technologies, design, art, and inventions are conceivable.

One of Tony Crow's soul enriching Sonoran Sunsets photograph, "Serendipity - Serenity", is befittingly showcased in this beautifully designed book.

It's the shape of things to come.

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1 of 4 people found the following review helpful:
5.0 out of 5 stars Knowingness is content, November 29, 2005
This review is from: Inventing the Circle: The Geometry of Nature (Paperback)
My friend , Johan Gielis, who discovered this formula asked me what was "missing."
I replied that "content" was the missing piece.
What I real eyes is that form has knowingness.
Knowingness is the content in form.
When I pick up a sea shell and look upon the form, I&I attempt to grok Hir-knowingness.
But if I&I really grok the knowingness of this shell I would have to be that shell Hir-Self.
But I am that I am, and I am the shell THAT IS part of me THAT IS THAT!

So, I always in all ways know the knowingness of the shell, I simply do not have the tuned kieu of mind to "allow" me the I&I&I to Know-to-Grok! Ah So!
In the peaceful gaze of fluttering sunset light one finds THAT!

http://leapingrealeyes.blogspot.com/2005/11/other-council-fires-were-here-before.html
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