Ask mathematician Midhat J. Gazale, then brace yourself for a heady ride through the wilds of self-similar geometry in Gnomon: From Pharaohs to Fractals, his. Gnomon: From Pharaohs to Fractals by Midhat Gazale and a great selection of related books, art and collectibles available now at Gnomon: from pharaohs to fractals, by Midhat J. Gazalé. Pp. £ ISBN 0 1 (Princeton University Press). – Volume

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Princeton University Press- Mathematics – pages.

There is considerable discussion of continued fractions and of iterated roots e. Perhaps the publishers should advertise a web site on which corrections to misprints can be shown: Figurate and madic Numbers.

The discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates. This is an erudite, engaging, and beautifully produced work that will appeal to anyone interested in the wonders of geometry and mathematics, as well as to enthusiasts of mathematical puzzles and recreations.

He begins by explaining the basic properties of gnomons and tracing the term–which originally meant “that which allows one to know”–to ancient Egyptian and Greek timekeeping. By continuing to use this site you agree to our use of cookies. European Journal of PhysicsVolume 20Number 6. He introduces us to continued fractions and guides us through the intricacies of Fibonacci sequences, ladder networks, whorled figures, the famous “golden number,” logarithmic spirals, and fractals.


Get permission to re-use this article. He discusses briefly the shape of the Great Pyramid.

Gnomon: From Pharaohs to Fractals – Midhat J. Gazalé – Google Books

The level of this book is variable: My library Help Advanced Book Search. Princeton University Press Amazon.

There are so many numerical coincidences that given pharaohw number, one can find some other number based on a combination of, e, etc, which is very close to it. The beaver’s tooth and the tiger’s claw.

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Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number. I have enjoyed reading and reviewing this book.

Gnomon: From Pharaohs to Fractals – IOPscience

Their connection to continued fractions is useful, and was new to me. Fractals, Fibonacci sequences, and logarithmic spirals. In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star.


A Guide to what it Is, how to Calculate European Journal of Physics. These diverse forms of nature and mathematics are united by a common factor: The discussion extends to mechanical ladder networks: He has a passion for numbers that is clear on every page, as he combines elegant mathematical explanations with compelling anecdotes and a rich variety of illustrations.

Gnomon: From Pharaohs to Fractals

In a spiral seashell, for example, we see that each new section of growth the gnomon resembles its predecessor and maintains the shell’s overall shape. However, from this little diversion we learn that a royal cubit the Latin cubitum means elbow was divided into 7 palms, each of which was further divided into 4 fingers. To find out more, see our Privacy and Cookies policy.

Almost two thousand years ago, Hero of Alexandria defined References to this book Investment Performance Attribution: One minor irritation is that there are a few misprints in the mathematics. From Pharaohs to Fractals.

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