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Transcript

Presentation

SILVER RATIO

Index

1. Presentation

2. Pell's sequence

3. Silver ratio in real life

4. Conclusion

1 - Presentation

2a+b
a

=

a
b

Let a and b be two integers such as a>b

δS

=

1+√2

=

2+√8
2

1+√2 ≈2.414

1 - Presentation

2 - PELL'S SEQUENCE

un+2= 2(un+1)+un
u0= 0
u1=1

Second order recursive sequence (un+2)

{

Hence:

- (1 + √2)n
- 0 ; 1 ; 169
- If n prime , un prime

2 - PELL'S SEQUENCE

3 - SILVER RATIO IN LIFE

δS→"Yamato-hi"

Tokyo Skytree, Japan

Hōryū-ji Temple, Japan

3 - SILVER RATIO IN LIFE

The golden ratio is also used in other fields:

4 - Conclusion

Golden ratio

Silver ratio

Bronze ratio

4 - Conclusion