File:Sylvester-square.svg

Summary

Description

Graphical demonstration of the sum of the reciprocals of Sylvester's sequence,

The first row of 2 squares has side length 1/2, for total area 1/2, the second row of 3 squares has side length 1/3, for total area 1/3, etc. All the squares together fill out the area of a unit square, showing that the total area is 1. Only the first four rows are shown; the bottom row is at distance 1/1806 from the bottom side of the unit square, a distance too small to easily be seen in the figure.
Date 5 December 2006 (original upload date)
Source Transferred from en.wikipedia to Commons.
Author David Eppstein at English Wikipedia
Other versions File:Znam-2-3-11-23-31.svg

Licensing

Public domain This work has been released into the public domain by its author, David Eppstein at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
David Eppstein grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:PD-user#Sylvester-square.svg

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2006-12-05 01:23 David Eppstein 256×256×0 (3909 bytes) Graphical demonstration of the sum of the reciprocals of [[Sylvester's sequence]], :<math>1 = \frac12 + \frac13 + \frac17 + \frac1{43} + \frac1{1807} + \cdots</math> The first row of 2 squares has side length 1/2, for total area 1/2, the second row of 3 s
Category:Number theory Category:Files by User:David Eppstein from en.wikipedia Category:Order 4
Category:Files by User:David Eppstein from en.wikipedia Category:Number theory Category:Order 4 Category:PD-user