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gptkbp:instanceOf
|
gptkb:Mathematical_constant
|
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gptkbp:algebraicEquation
|
x^2 - x - 1 = 0
|
|
gptkbp:alternativeName
|
gptkb:Golden_Section
gptkb:Golden_Mean
gptkb:Divine_Proportion
|
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gptkbp:appearsIn
|
gptkb:Fibonacci_sequence
|
|
gptkbp:category
|
gptkb:Mathematics
gptkb:geometry
gptkb:Number_theory
Aesthetics
|
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gptkbp:continuedFraction
|
[1;1,1,1,...]
|
|
gptkbp:decimalExpansion
|
1.618033988749894...
|
|
gptkbp:definedIn
|
(a+b)/a = a/b
|
|
gptkbp:designer
|
0.6180339887
|
|
gptkbp:discoveredBy
|
gptkb:Euclid
|
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gptkbp:estimatedCost
|
1.6180339887
|
|
gptkbp:firstMentioned
|
gptkb:Euclid's_Elements
|
|
gptkbp:hasUnicodeSymbol
|
U+03D5
|
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gptkbp:irrationalNumber
|
true
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gptkbp:positiveSolutionOf
|
x^2 - x - 1 = 0
|
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gptkbp:property
|
1/φ = φ - 1
φ = 1 + 1/φ
φ = 2cos(π/5)
φ^2 = φ + 1
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|
gptkbp:ratioOf
|
longer part to shorter part in golden section
|
|
gptkbp:reciprocal
|
Golden Ratio - 1
|
|
gptkbp:relatedTo
|
gptkb:Fibonacci_numbers
gptkb:Lucas_numbers
|
|
gptkbp:symbol
|
φ
|
|
gptkbp:usedIn
|
gptkb:Nature
gptkb:art
gptkb:photographer
gptkb:Modern_architecture
gptkb:DNA_structure
Architecture
Design
Music
Renaissance art
Biology
Pentagon geometry
Stock market analysis
Logo design
Book design
Galaxy spirals
Human body proportions
Plant growth patterns
Shell spirals
Spiral patterns
|
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gptkbp:bfsParent
|
gptkb:Golden_Section
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Golden Ratio
|