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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These diverse forms of nature and mathematics are united by a gnomonn factor: Its height was originally royal cubits, and its base royal cubits. I can wholeheartedly recommend it, both for personal and library purchase. He discusses briefly the shape of the Great Pyramid. Almost two thousand years ago, Hero of Alexandria defined the gnomon as that form which, when added to some form, results in a new form, similar to the original. By continuing to use this site you agree to our use of cookies.

My library Help Advanced Book Search. In other places his pace is almost too slow; he devotes a full page to an explicit conversion of to a binary representation. Other editions – View all Gnomon: Click here to close this overlay, or press the “Escape” key on your keyboard.

### Gnomon: From Pharaohs to Fractals – IOPscience

From Pharaohs to Fractals. European Journal of Physics. Some of his material is unfamiliar and that yields still further insight. This site uses cookies. Get permission feom re-use this article. Whether this is coincidence or was a design feature is now impossible to tell. Ladders From Fibonacci to Wave Propagation. 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.

Read, highlight, and take notes, across web, tablet, and phone. Princeton University Press Amazon.

References to this book Investment Performance Attribution: Their connection to continued fractions is useful, and was new to me. Almost two thousand years ago, Hero of Alexandria defined Princeton University Press- Mathematics – pages. Figurate and madic Numbers. There are so many numerical coincidences that given any number, one can find some other number based on a combination of, e, etc, which is very close to it.

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Iteration is a theme which runs through the book. Account Options Sign in. Fractals, Fibonacci sequences, and logarithmic spirals. He has a passion for numbers that phzraohs clear on every page, as he combines elegant mathematical explanations with compelling anecdotes and a rich variety of vrom.

From this the slope can be found: This book is of a similar quality and scope. Manfred Schroeder, in his entertaining book Fractals, Chaos and Power Laws Freeman, has a completely different definition of a silver number.

## Gnomon: from pharaohs to fractals

The advance publicity on the back of the dust jacket includes a commendation by Martin Gardner. One minor irritation is that there are a few misprints in the mathematics. There is considerable discussion of continued fractions and of iterated roots e. A Guide to what gjomon Is, how to Calculate In a spiral seashell, for example, we see that each new section of growth the gnomon resembles gnomn predecessor and maintains the shell’s overall shape.

## Gnomon: From Pharaohs to Fractals

To find out more, see our Privacy and Cookies policy. The beaver’s tooth and the tiger’s claw. In the s I used to await eagerly the arrival of Scientific Americanin which Gardner’s Mathematical Games column was an unfailing star.

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. 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.

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.

Sign up for new issue notifications. The discussion extends to mechanical ladder networks: European Journal of PhysicsVolume 20Number 6. The level of this pharaoha is variable: I have enjoyed reading and reviewing fo book. Perhaps the publishers should advertise a web site on which corrections to misprints can be shown: