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Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 43

Inventing the Circle
































Read Johan’s Gielis Book about the Superformula, and how it relates to Nature. Definately worth reading!

Editorial Reviews

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

Product Description:
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.



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



45€ in Europe (shipping included)


55$ for US and rest of the world (shipping included)


Posted
Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-content/themes/sliding-door/functions.php on line 15
4 years, 7 months ago at
Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 35

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 107

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 109

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 111

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 112
3:43 pm.

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Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 35

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 43

Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 35

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 43

Superformula Group on Vimeo!

http://vimeo.com/groups/superformula

You are welcome to join and chek out these beautiful animations!

Posted
Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-content/themes/sliding-door/functions.php on line 15
4 years, 7 months ago at
Warning: strtotime(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 35

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 107

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 109

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 111

Warning: date(): It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected the timezone 'UTC' for now, but please set date.timezone to select your timezone. in /home/phizikl/public_html/superformula/wp-includes/functions.php on line 112
3:50 pm.

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