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»
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Mathematics and Algorithms
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Mathematical Functions
>
Mathematical Constants
>
GoldenRatio
>
BUILT-IN MATHEMATICA SYMBOL
Mathematical Constants
Tutorials »
|
Fibonacci
ContinuedFraction
LucasL
AspectRatio
See Also »
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Mathematical Constants
More About »
GoldenRatio
GoldenRatio
is the golden ratio
, with numerical value
.
MORE INFORMATION
Mathematical constant treated as numeric by
NumericQ
and as a constant by
D
.
GoldenRatio
can be evaluated to any numerical precision using
N
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Numerical value:
Numerical value:
In[1]:=
Out[1]=
Scope
(4)
Evaluate to any precision:
Do exact computations:
Simplify
GoldenRatio
expressions:
TraditionalForm
formatting:
Applications
(7)
Golden ratio rectangle:
Make a phyllotaxis pattern ("simulated sunflower head"):
Compute the Fibonacci numbers:
Corners of an icosahedron:
Position of 1s in a Fibonacci substitution system :
Compute the effective "inverse" of the Fibonacci numbers:
Properties & Relations
(3)
Neat Examples
(1)
Simulated palm tree trunk:
SEE ALSO
Fibonacci
ContinuedFraction
LucasL
AspectRatio
TUTORIALS
Mathematical Constants
MORE ABOUT
Mathematical Constants
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
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)
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