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gptkbp:instanceOf
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Mathematical constant
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gptkbp:algebraicEquation
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x^2 - x - 1 = 0
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gptkbp:alternativeName
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gptkb:Golden_Section
gptkb:Golden_Mean
gptkb:Divine_Proportion
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gptkbp:appearsIn
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gptkb:Fibonacci_sequence
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gptkbp:category
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gptkb:Mathematics
gptkb:geometry
gptkb:Number_theory
Aesthetics
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gptkbp:continuedFraction
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[1;1,1,1,...]
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gptkbp:decimalExpansion
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1.618033988749894...
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gptkbp:definedIn
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(a+b)/a = a/b
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gptkbp:designer
|
0.6180339887
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gptkbp:discoveredBy
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gptkb:Euclid
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gptkbp:estimatedCost
|
1.6180339887
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gptkbp:firstMentioned
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gptkb:Euclid's_Elements
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gptkbp:hasUnicodeSymbol
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U+03D5
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https://www.w3.org/2000/01/rdf-schema#label
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Golden Ratio
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gptkbp:irrationalNumber
|
true
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gptkbp:positiveSolutionOf
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x^2 - x - 1 = 0
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gptkbp:property
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1/φ = φ - 1
φ = 1 + 1/φ
φ = 2cos(π/5)
φ^2 = φ + 1
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gptkbp:ratioOf
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longer part to shorter part in golden section
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gptkbp:reciprocal
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Golden Ratio - 1
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gptkbp:relatedTo
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gptkb:Fibonacci_numbers
gptkb:Lucas_numbers
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gptkbp:symbol
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φ
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gptkbp:usedIn
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gptkb:Nature
gptkb:art
gptkb:photographer
gptkb:Modern_architecture
Architecture
Design
Music
Renaissance art
Biology
DNA structure
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
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gptkb:Golden_Section
gptkb:Sacred_Geometry
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gptkbp:bfsLayer
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7
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