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Golden Ratio

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

The golden ratio equals the ratio of the longer side to the shorter side. It also equals the ratio of the sum of the side lengths to the longer side.

Formula

{QuantityVariable["a+b", "Length"]/QuantityVariable["a", "Length"] == GoldenRatio, QuantityVariable["a", "Length"]/QuantityVariable["b", "Length"] == GoldenRatio}

symbol description physical quantity
a longer side length "Length"
a+b combined length "Length"
b shorter side length "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Golden Ratio"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Golden Ratio"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Golden Ratio"], {QuantityVariable["a","Length"] -> 42}]
Out[3]=

Publisher Information