|
gptkbp:instanceOf
|
Mathematical constant
|
|
gptkbp:algebraicDegree
|
2
|
|
gptkbp:category
|
gptkb:Mathematics
gptkb:Number_theory
Proportion
|
|
gptkbp:continuedFraction
|
[1;1,1,1,...]
|
|
gptkbp:decimalExpansion
|
1.618033988749894...
|
|
gptkbp:definedIn
|
(1 + sqrt(5)) / 2
|
|
gptkbp:designer
|
φ - 1 = 1/φ
|
|
gptkbp:estimatedCost
|
1.6180339887
|
|
gptkbp:firstDescribed
|
gptkb:Euclid
gptkb:Elements
|
|
gptkbp:hasGoldenAngle
|
true
|
|
gptkbp:hasGoldenEllipse
|
true
|
|
gptkbp:hasGoldenParallelogram
|
true
|
|
gptkbp:hasGoldenRatioBase
|
true
|
|
gptkbp:hasGoldenRatioConjugate
|
true
|
|
gptkbp:hasGoldenRectangle
|
true
|
|
gptkbp:hasGoldenRhombus
|
true
|
|
gptkbp:hasGoldenSectionSearch
|
true
|
|
gptkbp:hasGoldenSpiral
|
true
|
|
gptkbp:hasGoldenTriangle
|
true
|
|
gptkbp:hasProperty
|
self-similarity
appears in pentagon and pentagram
|
|
gptkbp:hasWikidataID
|
Q208042
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Golden ratio
|
|
gptkbp:irrationalNumber
|
true
|
|
gptkbp:limitation
|
ratio of consecutive Fibonacci numbers
|
|
gptkbp:namedFor
|
gptkb:Euclid
|
|
gptkbp:occurredIn
|
gptkb:architecture
gptkb:art
gptkb:geometry
nature
|
|
gptkbp:otherName
|
gptkb:golden_mean
gptkb:divine_proportion
gptkb:golden_section
|
|
gptkbp:reciprocal
|
0.6180339887...
|
|
gptkbp:relatedTo
|
gptkb:Fibonacci_sequence
|
|
gptkbp:solvedBy
|
x^2 - x - 1 = 0
|
|
gptkbp:symbol
|
φ
|
|
gptkbp:usedIn
|
gptkb:design
gptkb:music
aesthetics
modern architecture
photography
visual arts
classical architecture
logo design
nature patterns
|
|
gptkbp:bfsParent
|
gptkb:Penrose_tiling
|
|
gptkbp:bfsLayer
|
5
|