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gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:alsoKnownAs
|
gptkb:Divine_Proportion
gptkb:Extreme_and_Mean_Ratio
gptkb:Golden_Ratio
|
|
gptkbp:appearsIn
|
gptkb:Nature
gptkb:art
gptkb:geometry
Architecture
|
|
gptkbp:category
|
gptkb:Mathematics
gptkb:geometry
gptkb:Number_theory
Aesthetics
Art history
|
|
gptkbp:continuedFraction
|
[1;1,1,1,...]
|
|
gptkbp:decimalExpansion
|
1.618033988749894...
|
|
gptkbp:definedIn
|
(a+b)/a = a/b = φ
|
|
gptkbp:firstDescribed
|
gptkb:Euclid
|
|
gptkbp:hasEquation
|
x^2 - x - 1 = 0
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Golden Section
|
|
gptkbp:notableAppearance
|
gptkb:Parthenon
gptkb:Nautilus_shell
Human body proportions (claimed)
Leonardo da Vinci's works
Pentagon and pentagram
Pinecones
Sunflower seed patterns
|
|
gptkbp:positiveSolution
|
(1+√5)/2
|
|
gptkbp:property
|
gptkb:Irrational_number
Algebraic number
Transcendental number (not)
|
|
gptkbp:ratioBetween
|
Two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller
|
|
gptkbp:relatedTo
|
gptkb:Fibonacci_Sequence
|
|
gptkbp:scientificName
|
gptkb:Sectio_Aurea
|
|
gptkbp:studiedBy
|
gptkb:Johannes_Kepler
gptkb:Leonardo_da_Vinci
gptkb:Luca_Pacioli
|
|
gptkbp:symbol
|
gptkb:Phi
φ
|
|
gptkbp:usedIn
|
Design
Music
Aesthetics
Financial markets (technical analysis)
Proportions of rectangles (Golden Rectangle)
Spirals (Golden Spiral)
|
|
gptkbp:valuation
|
1.6180339887...
|
|
gptkbp:英文名
|
gptkb:χρυσή_τομή
|
|
gptkbp:bfsParent
|
gptkb:Section_d'Or
|
|
gptkbp:bfsLayer
|
6
|