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Figures for Dirk Huylebroucks and Patrick Labarque's
More True Applications of the Golden Number

| Fig. 1 | Fig. 2 | Fig. 3 | Fig. 4 | Fig. 5 | Fig. 6 | Fig. 7 | Fig. 8 | Tab. 1 |

Table 1. Seven possibilities for gears in a common planetary wheel system.| top of page | back to text |

gear no.  gear 1 gear 2 gear 3 gear 4 gear 5 gear 6 gear 7
kind of gear backward increased backward decreased forward decreased forward decreased forward
direct		 forward increased forward increased
constellation
of the wheels		 A: result
B: fixed
C: drive		 A: drive
B: fixed
C: result		 A: drive
B: result
C: fixed		 A: fixed
B: result
C: drive		 A, B & C:
fixed to each other		 A: fixed
B: drive
C: result		 A: result
B: drive
C: fixed
gear -x -1/x 1/(1+x) x/(1+x) 1 (1+x)/x (1+x)/1

 x=1 -1 -1 0.5 0.5 1 2 2
x=1.25 -1.25 -0.8 0.444... 0.555... 1 1.8 2.25
x=1.5 -1.5 -0.0.666... 0.4 0.6 1 1.666... 2.5
x=1.618 -1.618... -0.618... 0.381... 0.618... 1 1.681... 2.618...
x=1.75 -1.75 -0.571... 0.364... 0.636... 1 1.571... 2.75
X=2 -2 -0.5 0.333... 0.666... 1 1.5 3

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