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). РVolume

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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. There is considerable discussion of continued fractions and of iterated roots e.

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. Whether this is coincidence or was a design feature is now impossible to tell. Almost two thousand years ago, Hero of Alexandria defined 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.

There appear to be several silver numbers.

Pnaraohs 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 Figurate and madic Numbers. By continuing to use this site you agree to our use of cookies.

Gnomon: from pharaohs to fractals – PDF Free Download

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. I can wholeheartedly recommend it, both for personal and library purchase. Its height was originally royal cubits, and its base royal cubits. The advance publicity on the back of the dust jacket includes a commendation by Martin Gardner.


This book is of a similar quality and scope. Read, highlight, and take notes, across web, tablet, and phone. Other editions – View all Gnomon: In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation. Sign up for new issue notifications.

The discussion extends to mechanical ladder networks: Princeton University Press Amazon. Their connection to continued fractions is useful, and was new to me. My library Help Advanced Book Search. To find out more, see our Privacy and Cookies policy. I have enjoyed reading and reviewing this book.

Some of his material is unfamiliar and that yields still further insight. Fractals, Fibonacci sequences, and logarithmic spirals. These diverse forms of nature and mathematics are united by a common factor: This site uses cookies.

Gnomon: From Pharaohs to Fractals

From this the slope can be found: Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number. Almost two thousand years ago, Hero of Alexandria defined the gnomon as that form which, too added to some form, results in a new form, similar to the original.

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Gnomon: from pharaohs to fractals

From Pharaohs to Fractals Midhat J. References to this book Investment Performance Attribution: One minor irritation is that there are a few misprints in the mathematics. The level of this book is variable: Get permission to re-use this article.


Pharaohd discussion is enhanced by geometric interpretations, leading to spirals and fractals which are shown in many good figures and a few colour plates.

David Spaulding Snippet view – 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. Iteration is a theme which runs through the book.

There is an interesting discussion on electrical ladder networks as used, for example, in digital to analogue converters. Ladders From Fibonacci to Wave Propagation. He discusses briefly the shape of the Great Pyramid.

Click here to close this overlay, pharaihs press the “Escape” key on your keyboard. Perhaps the publishers should advertise a web site on which corrections to misprints can be shown: The beaver’s tooth and the tiger’s claw. Gnomoh Journal of PhysicsVolume 20Number 6. There are so many numerical coincidences that given any number, one can find some other number based on a combination of vnomon,e, etc, which is very close to it. European Journal of Physics. Princeton University Press- Mathematics – pages.

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.