The Mathematical Magic of the Fibonacci numbers looks at the patterns in the Fibonacci numbers themselves, the Fibonacci numbers in Pascal's Triangle and using Fibonacci series to generate all rightangled triangles with integers sides based on Pythagoras Theorem. The Intriguing Mathematical World of Fibonacci and Phi The golden section numbers are also written using the greek letters Phi
Will there be a the golden compass 2 professional#
The Puzzling World of Fibonacci Numbers A pair of pages with plenty of playful problems to perplex the professional and the parttime puzzler! The Easier Fibonacci Puzzles page has the Fibonacci numbers in brick wall patterns, Fibonacci bee lines, seating people in a row and the Fibonacci numbers again, giving change and a game with match sticks and even with electrical resistance and lots more puzzles all involve the Fibonacci numbers! The Harder Fibonacci Puzzles page still has problems where the Fibonacci numbers are the answers - well, all but ONE, but WHICH one? If you know the Fibonacci Jigsaw puzzle where rearranging the 4 wedge-shaped pieces makes an additional square appear, did you know the same puzzle can be rearranged to make a different shape where a square now disappears? For these puzzles, I do not know of any simple explanations of why the Fibonacci numbers occur - and that's the real puzzle - can you supply a simple reason why? The Golden section in Nature Continuing the theme of the first page but with specific reference to why the golden (1 of 8) All involve the Fibonacci numbers - and here's how and why. Please can you re-send your email if you've had no reply - sorry!įibonacci Numbers and Golden sections in Nature Fibonacci Numbers and Nature Fibonacci and the original problem about rabbits where the series first appears, the family trees of cows and bees, the golden ratio and the Fibonacci series, the Fibonacci Spiral and sea shell shapes, branching plants, flower petal and seeds, leaves and petal arrangements, on pineapples and in apples, pine cones and leaf arrangements. The rest of this page is a brief introduction to all the web pages at this site on Fibonacci Numbers the Golden Section and the Golden String together with their many applications.Ī recent back-up error means that I've just lost all emails sent to me during March and April. There is a large amount of information at this site (more than 200 pages if it was printed), so if all you want is a quick introduction then the first link takes you to an introductory page on the Fibonacci numbers and where they appear in Nature. a sequence of 0s and 1s which is closely related to the Fibonacci numbers and the golden section. Fibonacci Numbers, the Golden section and the Golden Stringįibonacci Numbers and the Golden Section This is the Home page for the Fibonacci numbers, the Golden section and the Golden string.ġ, 1, 2, 3, 5, 8, 13.
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