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GoldenAngle
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GoldenAngle

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is the golden angle , with numerical value .

Details

  • Mathematical constant treated as numeric by NumericQ and as a constant by D.
  • GoldenAngle can be evaluated to any numerical precision using N.

Examples

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Basic Examples  (1)Summary of the most common use cases

Approximate value of the golden angle constant in radians:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-ccsk8
Out[1]=1

Approximate value of the golden angle constant in degrees:

In[2]:=2
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https://wolfram.com/xid/0b0li9h6zsm-167tfi
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b0li9h6zsm-d8xpd
Out[3]=3

Scope  (4)Survey of the scope of standard use cases

GoldenAngle is a numeric constant :

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-3z0iyc
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0li9h6zsm-g1omre
Out[2]=2

Evaluate to any precision:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-lqd
Out[1]=1

Do exact computations:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-oo3
Out[1]=1

Expand into its exact value:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-dbc5fy
Out[1]=1

Applications  (1)Sample problems that can be solved with this function

Make a phyllotaxis pattern:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-ukzcpd
Out[1]=1

A 3D version:

In[2]:=2
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https://wolfram.com/xid/0b0li9h6zsm-z28l1b
Out[2]=2

Properties & Relations  (1)Properties of the function, and connections to other functions

Alternative expressions for GoldenAngle:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-58hsjv
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0b0li9h6zsm-tfkchd
Out[2]=2
In[3]:=3
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https://wolfram.com/xid/0b0li9h6zsm-5201ir
Out[3]=3
In[4]:=4
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https://wolfram.com/xid/0b0li9h6zsm-4g6jqn
Out[4]=4
In[5]:=5
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https://wolfram.com/xid/0b0li9h6zsm-h8p5yy
Out[5]=5

Neat Examples  (1)Surprising or curious use cases

Simulated sunflower head:

In[1]:=1
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https://wolfram.com/xid/0b0li9h6zsm-778jj7
Out[1]=1
Wolfram Research (2015), GoldenAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/GoldenAngle.html.
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Wolfram Research (2015), GoldenAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/GoldenAngle.html.

Text

Wolfram Research (2015), GoldenAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/GoldenAngle.html.

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Wolfram Research (2015), GoldenAngle, Wolfram Language function, https://reference.wolfram.com/language/ref/GoldenAngle.html.

CMS

Wolfram Language. 2015. "GoldenAngle." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GoldenAngle.html.

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Wolfram Language. 2015. "GoldenAngle." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GoldenAngle.html.

APA

Wolfram Language. (2015). GoldenAngle. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GoldenAngle.html

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Wolfram Language. (2015). GoldenAngle. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GoldenAngle.html

BibTeX

@misc{reference.wolfram_2025_goldenangle, author="Wolfram Research", title="{GoldenAngle}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GoldenAngle.html}", note=[Accessed: 06-April-2025 ]}

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@misc{reference.wolfram_2025_goldenangle, author="Wolfram Research", title="{GoldenAngle}", year="2015", howpublished="\url{https://reference.wolfram.com/language/ref/GoldenAngle.html}", note=[Accessed: 06-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_goldenangle, organization={Wolfram Research}, title={GoldenAngle}, year={2015}, url={https://reference.wolfram.com/language/ref/GoldenAngle.html}, note=[Accessed: 06-April-2025 ]}

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@online{reference.wolfram_2025_goldenangle, organization={Wolfram Research}, title={GoldenAngle}, year={2015}, url={https://reference.wolfram.com/language/ref/GoldenAngle.html}, note=[Accessed: 06-April-2025 ]}