no it doesn't ..
The Golden Ratio φ can be expressed as an infinite sum of the powers of its reciprocalpic.twitter.com/iI0Ka60HbC
-
New conversation
-
-
-
The Golden Ratio (ϕ²=ϕ+1) can be expressed as a 2x2 matrix.pic.twitter.com/MTTncwqNCv
-
Bonus fact: Multiplication by golden ratio matrix encodes how Fibonacci numbers are computed. Also its eigenvectors are [ϕ,1] and [1/ϕ,1]!pic.twitter.com/8L5y4GHL2i
- 1 more reply
New conversation -
-
-
Physics proof: multiply both sides by φ
-
It's not just a "physics" proof, since the series converges, you are allowed to assign it a value and do algebraic manipulations with it.
End of conversation
New conversation -
-
-
Multiply by phi and substitute, and you get the well known quadratic relationship.
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
1.618
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
-
-
Thanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.