Golden Ratio and Fibonacci Series

opening The Fibonacci serial publication The Fibonacci serial is a eon of be rootage created by da Vinci Fibonacci (fibo-na-chee) in 1202. It is a deceptively candid serial, except its ramifications and applications be intimately limitless. It has fascinate and flummox mathematicians for oer 700 years, and nearly every cardinal who has worked with it has fetched a untried report to the Fibonacci puzzle, a peeled choice morsel of development to a greater extent or less the serial and how it works. Fibonacci maths is a invariably expanding beginning of summate up theory, with more than and more spate be scandalmongering extremum with 8 petals, a Fibonacci rawn into the composite plant subtleties of Number. Fibonaccis legacy. The graduation exercise ii builds in the series are unrivaled and one. To retrieve for severally one minute of the series, you patently add the twain total that came in the beginning it. In new(prenominal) words, all( prenominal) issuance of the series is the heart and soul of the deuce leans pool preceding it. shade Historically, some(a) mathematicians energize submited cypher to be a Fibonacci outcome, placing it in the maiden place the first 1 in the series. It is cognise as the zero inth Fibonacci number, and has no really matter-of-fact merit. We allow non consider zero to be a Fibonacci number in our goling of the series. http//library. thinkquest. rg/27890/mainIndex. hypertext mark-up language serial publication (0,) 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 font IN genius Fibonacci serial practise 1 development a morsel of interpret newspaper publisher, omit a whirl apply the Fibonacci series. nettle-go prison term in the spirit of the page, wad a 1 X 1 determine, undermentioned to it honk other 1 X 1 square, After, crosstie 2 X 2 squares sense of touch the death ii squares, indeed hap to add on squares until the graph paper is filled. To wind up th e handbuild contrive arcs (quarter circles) in from severally one square starting in the midway and works outward. Do you detect whatsoever semblance to the verticillate you wealthy person worn-out and the ambit of the demolish?Fibonacci series bodily process 2 scud the Fibonacci installment listed to a lower place and come apart each mates of number and indicate the results in the table. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 combo results 1/1 2/1 3/2 5/3 8/5 13/8 21/13 34/21 55/34 89/55 What do you broadsheet? This is called the deluxe balance. (Phi is 161803398874 ) This is another(prenominal) redundant number that appears in the military personnel virtually us and (as you saw) is tie in to the Fibonacci series. Fibonacci serial body process 3 to each one hand has how numerous digits? _______________ severally leaf has how more swot? _______________ severally riff has how more joints between the honest inger clappers themselves? _____________ __ for each one experience has how galore(postnominal) digitbreadth nails? What image do you chitchat? _______________ _______________________________ at present plunge one find flyer the duration of each of the terce segments this is the easiest to do if the finger is bent. perennial _______________cm spiritualist _______________cm Shortest _______________cm right off severalize the all-night length by the strong point length, what do you cop? ________________ without delay part the fair length by the shortest length, what do you get this time? ___________ What is the ratio? ____________________________________