סידרת פיבונאצ'י
description
Transcript of סידרת פיבונאצ'י
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www.geology-israel.co.il [email protected]
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, "'" 1170 1250.
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'0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,610, 987, 1597, 2584............ . .... "" .
: , ............ 1.6180339887498 , ...........0.6180339887498
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1/1=1, 2/1=2, 3/2=1.5, 5/3=1.6666, 8/5=1.6, 13/8=1.625
21/13=1.6153, 34/21=1.6190, 55/34=1.61764, 89/55=1.61818
144/89=1.617977, 233/144=1.618055, ..........1.618033988 : :
1/1=1, 1/2=0.5, 2/3=0.6666, 3/5=0.6, 5/8=0.625, 8/13=0.6153
13/21=0.61904, 21/34=0.61764, 34/55=0.61818, 55/89=0.61797
89/144=0.61805, 144/233=0.618025, ..........0.618033988 '
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32, 67, 99, 166, 265, 431 ,696, 1127, 1823, 2950, 4773, 7723 7723 4773 .......... 1.6180599 2 :17, 87, 104, 191, 295, 486, 781, 1267, 2048, 3315, 5363 5363 3315 ........... 1.6177978
' .. - ......1.6180339887
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: , 10 11, (!!) .
:32, 67, 99, 166, 265, 431 ,696, 1127, 1823, 2950, 4773, 772310 , , . 7656. 11, 696 .================================================== :
17, 87, 104, 191, 295, 486, 781, 1267, 2048, 3315, 5363 8591. 11, 781 .
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: = !!!!!FFFFFFFFFFFFFF
= 1= 1.618033989= 2.618033989= 4.236067977= 6.854101966= 11.09016994= 17.94427191= 29.03444185= 46.97871376= 76.01315562= 122.9918694 ===0
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) 2:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,
) 3:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946,17711,28657,63684,75025,121393
) 5:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,41816765,10946,17711,28657,46368,75025,121393,196418
) 8:1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,41816765,10946,17711,28657,46368,75025,121393,196418
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15 ' :00,01,01,02,03,05,08,13,21,34,55,89,144,233,377,610
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' 1 [( FIB(6) FIB(12 )] !!!!!!!!
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" '" . = P . = 1. = f = + . = P4. (A-H) = 2 (!!!) P:Pi '
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, , " ".: 3 12 , 3 , 220 [ ]. : - 12 ' 3 , .
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" . (!!!). ?? [[ = ]] !!!! '.:
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' 2 . . - 2 (A)2 - 3 (B)3 - 5 (C)4 8 (D) 13 ABCD' '....
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ABCDE
Fi=1.6180339887498948482. ' =Fi , ' '.Fi =AB/AH = AH/HJ = HJ/HP = HP/PL
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( ) 1 = 2XB(A+B) 2 =A(A+2B) : A = 2 , B = 3 1 = 2X3(2+3) = 6X5 = 30 2 = 2(2+(2X3)) = 2X8 = 16 = 1 + 2 = 900+256 = 1156 , = 34
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' " , ' = (13) ' . (: 13X21) := 34X55
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123456
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FECHNER , , ( ), . . ( 35%) , .
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. ( ) : a/b = 1.618033988. a A B.. b B C.. C S.. A S. . B S. CSB ( .). ASB ( ).. AC ( .:d/f = Fib = 1.618033988e/d = Fib = 1.618033988
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???5X13= 65=64 . !!! ??
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?? .125X13 = 658X8 = 64 ' ??
- . , 36 . 72 .. (AB) = 1, BC " " BC (X) = 0.61803398.
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" " " " " " ?[[ 20? ]] ' : 34,55,89,144 ( ).
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