Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical constant
|
| gptkbp:alsoKnownAs |
gptkb:Golden_ratio
|
| gptkbp:appearsIn |
gptkb:Fibonacci_spiral
Pentagon geometry |
| gptkbp:category |
gptkb:Irrational_number
Algebraic number Mathematical constant Surd |
| gptkbp:complement |
gptkb:silver_ratio
|
| gptkbp:continuedFraction |
[1;1,1,1,...]
|
| gptkbp:decimalExpansion |
1.618033988749894...
|
| gptkbp:definedIn |
(1 + sqrt(5)) / 2
|
| gptkbp:estimatedCost |
1.6180339887
|
| gptkbp:firstDescribed |
gptkb:Euclid
|
| gptkbp:greekLetter |
gptkb:Phi
|
| https://www.w3.org/2000/01/rdf-schema#label |
Phi
|
| gptkbp:irrationalNumber |
true
|
| gptkbp:namedAfter |
Greek letter phi
|
| gptkbp:property |
most irrational number
appears in Binet's formula for Fibonacci numbers appears in Lucas numbers appears in Penrose tiling appears in continued fractions appears in dodecahedron appears in golden rectangle appears in golden spiral appears in golden triangle appears in icosahedron appears in plastic number (as a related concept) appears in regular pentagon appears in regular pentagram conjugate is (1 - sqrt(5))/2 limit of ratio of consecutive Fibonacci numbers phi - 1 = 1/phi phi = 1 + 1/phi phi^2 = phi + 1 ratio of diagonal to side in regular pentagon solution to x = 1 + 1/x sum of infinite series 1 + 1/(1+1/(1+...)) unique positive solution to x^2 = x + 1 |
| gptkbp:reciprocal |
0.6180339887...
|
| gptkbp:relatedTo |
gptkb:Fibonacci_sequence
|
| gptkbp:solvedBy |
x^2 = x + 1
|
| gptkbp:symbol |
φ
|
| gptkbp:unicodeBlock |
U+03C6
|
| gptkbp:usedIn |
gptkb:architecture
gptkb:art gptkb:geometry nature |
| gptkbp:bfsParent |
gptkb:transformation
gptkb:Greek_alphabet |
| gptkbp:bfsLayer |
5
|