The Fractal Geometry of Nature

Book Review:

The Fractal Geometry of Nature
by Benoit B. Mandelbrot

The Fractal Geometry of Nature

The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, shines the main Mandelbrot’s point: that somewhere in mathematics, While most of it is about the mathematics behind fractals (wouldn’t be so much a book of mathematics if it wasn’t), it does adress the philosophical aspects. It says clearly that there is an explanation for nature.

So much into nature, It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

There is a difference between quoting a book because it is famous, and actually reading it, as in having enlightenment for our own sake! In this book, Mandelbrot does explain most of the concepts practically “ab initio”, from the very scratch, including etymology and history related to the fractal mathematics.

While the book does have all the needed graphics to grasp the concepts, it does not do justice to the beauty of fractals at all, especially considering the advances in printing technologies since the book was first published.

“A rarity: a picture book of sophisticated contemporary research ideas in mathematics.”–Douglas Hofstadter, author of Godel, Escher, Bach

“Mandelbrot presents unique and infinitely deep look at nature. The emerging theory of interaction shows that his notion of fractal turned to be more fruitful than anyone could guess. Savov’s theory of interaction rigorously proves that nature is one self-reproducing and therefore self-similar fractal like interaction. Its oscillating sources remain always finite and synchronize to eject smaller similar ones.” –Patrick Gorn

For more information on Fractals Theory click here : http://en.wikipedia.org/wiki/Fractal

For more information on “Eugene Savov’s Theory of Interaction” – The Final Theory !!! – click Here : http://www.thefinaltheory.com/pages/8/index.htm

Chaos Theory نظرية الفوضى

ما تقوله حقاً نظرية الفوضى، هو أن ما يبدو فوضوياً ولا يضبطه شيئ في الظاهر ، هو في الحقيقة امر منظم و منضبط تماماً و تتحكم به قوانين طبيعية في غاية الصرامة والدقّة . وان لا وجود لأحداث أو أشياء عشوائية خبط عمياء ، من وجهة نظر القوانين الطبيعيةهذا يعني أن الفيزياء مثلاً تحكم بقوانينها الدقيقة الصارمة المحكمة اموراً مثل كيفية سقوط حجر النرد على رقعة لعب طاولة زهرة، أي أن ليس هناك في العلم شيئ اسمه صدفة بحته

سوف اكتب المزيد فيما بعد عن نظرية الفوضى غير أن ما دفعني الآن للكتابة في هذا الموضوع هو هذا الشرح البسيط الرائع للنظرية

“What exactly is chaos? The name “chaos theory” comes from the fact that the systems that the theory describes are apparently disordered, but chaos theory is really about finding the underlying order in apparently random data.”

إقرأ المزيد هنا : http://www.imho.com/grae/chaos/chaos.html

Old Eur0pe Wins The 2005 UCSB International Capture The Flag

The UCSB International Capture The Flag (also known as the iCTF) is a distributed, wide-area security exercise, whose goal is to test the security skills of the participants from both the attack and defense viewpoints.The Capture The Flag contest is a multi-site, multi-team hacking contest in which a number of teams compete independently against each other.Each team is given a virtualized server installation (for example, a virtual Linux server). The server provides a number of services. The services have a number of undisclosed vulnerabilities, which have been included in the server’s software by the contest organizers.The goal of each team is to maintain the set of services available and uncompromised throughout the contest phase. Each team can (and should) attempt to compromise other teams’ services. Since all the teams receive an identical copy of the virtual server, the task of each team is to find vulnerabilities in their copy of the server and possibly fix the vulnerabilities without disrupting the services. At the same time, the teams have to leverage their knowledge about the vulnerabilities they found to compromise the servers run by other teams. Compromising a service will allow a team to bypass the service security mechanisms and to “capture the flag” associated with a service.During the contest a scoring system keeps track, for each team, of which services are available, and which services have been compromised.The 2005 iCTF was scheduled Friday, December 9, 2005, from 8am to 4pm, PST (note: this was changed from the initial date of December 7th).The winner of the last edition of the competition (which was held in June 2005) was the team “The Tower of Hanoi”, from Politecnico di Milano, Italy.Read more at www.cs.ucsb.edu/~vigna/…