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Silver ratio

In mathematics, the silver ratio is a geometrical proportion with exact value 1 + √2, the positive solution of the equation x2 = 2x + 1.

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Algebraic form
1 + 2 {\displaystyle 1+{\sqrt {2}}}
Continued fraction
2 + 1 2 + 1 2 + 1 ⋱ {\displaystyle 2+{\cfrac {1}{2+{\cfrac {1}{2+{\cfrac {1}{\ddots }}}}}}} purely periodic infinite
Decimal
2.41421356237309504880...
Rationality
irrational algebraic
Symbol
σ

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Overview

Definition

Properties

Pell sequences

Geometry

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Map overview Semantic statistics

Silver ratio

Nodes124
Edges123
Triples43
Avg. degree1.98
Density0.016129
Components1

How this topic connects Entity context

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Silver ratio

Top relations

related to Silver rectangle and regular octagon · 9
Silver ratio → An ISO, Considered, Fold, It, Japanese, Lichtenberg, Rabatment, The, Yamato-hi
related to Ammann–Beenker tiling · 8
Silver ratio → Ammann, Ammann A5-tiles, Beenker, Discovered, Frans Beenker, If, Robert Ammann, The
related to Definition · 6
Silver ratio → A014176, If, It, OEIS, Substituting, The
related to External links · 4
Silver ratio → Giorgio Pietrocola, Pell, Tartapelago, YouTube
related to Pell sequences · 4
Silver ratio → Fibonacci, Lucas, The, These
see also · 4
Silver ratio → Golden, Metallic, Solutions, Supersilver
is a · 2
Silver ratio → geometrical proportion with exact value 1, positive solution of quadratic equation σ 2
Algebraic form · 1
Silver ratio → 1 + 2 {\displaystyle 1+{\sqrt {2}}}
Continued fraction · 1
Silver ratio → 2 + 1 2 + 1 2 + 1 ⋱ {\displaystyle 2+{\cfrac {1}{2+{\cfrac {1}{2+{\cfrac {1}{\ddots }}}}}}} purely periodic infinite
Decimal · 1
Silver ratio → 2.41421356237309504880...

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Important terminology

displaystyle sigma silver ratio -1 sqrt tfrac frac right numbers octagon diagonal left text triangles edge rectangle square sequence positive

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Silver ratioAlgebraic form1 + 2 {\displaystyle 1+{\sqrt {2}}}1.00infobox
Silver ratioContinued fraction2 + 1 2 + 1 2 + 1 ⋱ {\displaystyle 2+{\cfrac {1}{2+{\cfrac {1}{2+{\cfrac {1}{\ddots }}}}}}} purely periodic infinite1.00infobox
Silver ratioDecimal2.41421356237309504880...1.00infobox
Silver ratioRationalityirrational algebraic1.00infobox
Silver ratioSymbolσ1.00infobox
Silver ratiois ageometrical proportion with exact value 10.90text
Silver ratiois apositive solution of quadratic equation σ 20.90text
Silver ratiorelated to Ammann–Beenker tilingThe0.60section
Silver ratiorelated to Ammann–Beenker tilingAmmann0.60section
Silver ratiorelated to Ammann–Beenker tilingBeenker0.60section
Silver ratiorelated to Ammann–Beenker tilingDiscovered0.60section
Silver ratiorelated to Ammann–Beenker tilingRobert Ammann0.60section

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    Min side: 3
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