The Fibonacci numbers with reciprocals

Fibonacci ratios and reciprocals

Fibonacci Series	ratios	Fibonacci Reciprocals	ratios
1/	1.0	1/	1.0
1		1

1/	0.5	2/	2.0
2		1

2/	0.6666666666667	3/	1.5
3		2

3/	0.6	5/	1.6666666666667
5		3

5/	0.625	8/	1.6
8		5

8/	0.6153846153846	13/	1.625
13		8

13/	0.6190476190476	21/	1.6153846153846
21		13

21/	0.6176470588235	34/	1.6190476190476
34		21

34/	0.6181818181818	55/	1.6176470588235
55		34

55/	0.6179775280899	89/	1.6181818181818
89		55

89/	0.6180555555556	144/	1.6179775280899
144		89

144/	0.618025751073	233/	1.6180555555556
233		144

233/	0.6180371352785	377/	1.618025751073
377		233

377/	0.6180327868852	610/	1.6180371352785
610		377

610/	0.6180344478217	987/	1.6180327868852
987		610

987/	0.6180338134001	1597/	1.6180344478217
1597		987

1597/	0.6180340557276	2584/	1.6180338134001
2584		1597

2584/	0.6180339631667	4181/	1.6180340557276
4181		2584

4181/	0.6180339985218	6765/	1.6180339631667
6765		4181

6765/	0.6180339850174	10946/	1.6180339985218
10946		6765

10946/	0.6180339901756	17711/	1.6180339850174
17711		10946

17711/	0.6180339882053	28657/	1.6180339901756
28657		17711

28657/	0.6180339889579	46368/	1.6180339882053
46368		28657

46368/	0.6180339886704	75025/	1.6180339889579
75025		46368

75025/	0.6180339887802	121393/	1.6180339886704
121393		75025

121393/	0.6180339887383	196418/	1.6180339887802
196418		121393

196418/	0.6180339887543	317811/	1.6180339887383
317811		196418

317811/	0.6180339887482	514229/	1.6180339887543
514229		317811

514229/	0.6180339887505	832040/	1.6180339887482
832040		514229

832040/	0.6180339887496	1346269/	1.6180339887505
1346269		832040

1346269/	0.6180339887500	2178309/	1.6180339887496
2178309		1346269

The above are the golden numbers winding along the self-refining path. All additive series collect on the spiral. The Fibonacci and Lucas numbers are simply the most direct manifestations of the spiral. This is the esoteric knowledge of phi as displayed in the pyramid of Giza. The spiral manifests itself in a multitude of natural phenomenon. Some examples are: Spiral galaxies, the arrangement of sunflower seeds, the phylotaxis of plants leaves, reproductive rates of rabbits, hurricanes, the double helix of human DNA, fossilized ammonites, pinecones, dying poinsettia leaf, etc.

It is this authors belief that all mass in motion, as the subject of time, tends to manifest itself as a refining curve. This is the "how" of balancing the center of swing with the periphery of swing. This does not explain "orbit" per se; it explains the movement from non-orbit to orbit.

Fibonacci and Lucas side by side
Lucas with reciprocals
True Gravity Numbers

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