File:Record pi approximations.svg

Any autoconfirmed user can overwrite this file from the same source. Please ensure that overwrites comply with the guideline. Category:Files allowed to be overwritten by everyone

Summary

Description
English: Graph showing how the record precision of numerical approximations to pi, measured in decimal places (depicted on a logarithmic scale), evolved in human history. The time before 1400 is compressed. Based on data from Chronology of computation of π.
Esperanto: Grafeo kiu montras kiel la rekorda precizeco de ciferaj alproksimiĝoj al pi, mezurataj en dekumaj pozicioj (bildigataj laŭ logaritma skalo), evoluis dum la homa historio. La tempo antaŭ 1400 estas kunpremita. Bazita sur datumoj el Chronology of computation of π.
Deutsch: Graph, der die Entwicklung von immer besseren numerischen Annäherungen an Pi im Laufe der Menschheitsgeschichte anzeigt, gemessen in Dezimalstellen anhand einer logarithmischen Skala. Die Zeit vor 1400 ist verkürzt dargestellt. Basierend auf Daten aus Chronology of computation of π.
Português: Gráfico que mostra como o recorde da precisão das aproximações numéricas de pi, medidas em casas decimais (representadas em uma escala logarítmica), evoluiu na história da humanidade. O tempo antes de 1400 é compactado. Com base em dados de Chronology of computation of π.
Русский: График, показывающий, как развивалась рекордная точность числовых приближений к числу пи, указанная по количеству десятичных знаках (по оси ординат логарифмический масштаб). Время на оси до 1400 года н. э. сжато.
Date
Source Own work
Author Nageh
Other versions

[edit]

.svg:

.png:


Derivative works of this file:  Record pi approximations (vi).svgCategory:Files with derivative versions
SVG development
InfoField
 The SVG code is valid.
 This trigonometry was created with gnuplot.
Category:Valid SVG created with Gnuplot:Trigonometry#Record%20pi%20approximations.svg
  Category:Translation possible - SVG (switch)This trigonometry is translated using SVG switch elements: all translations are stored in the same file.

This vector image was constructed using gnuplot and is based on the design of Rekordaj alproksimighoj al pi.png by Marcoscramer. The gnuplot script below was used to design the image. Input file "pi.dat" consists of two white-space separated columns, the first containing year data and the latter the number of decimal digits.

 #!/gnuplot
 # set terminal svg size 1024,528 dynamic enhanced fname 'Verdana' fsize 11 name "Record_pi_approximations"
 # set output "Record_pi_approximations.svg"
 set terminal win enhanced
 set key off
 set title "Record approximations of pi" 
 set title font "Verdana Bold,20"
 set border linecolor rgb "gray"
 set grid linetype -1 linecolor rgb "gray"
 set xlabel "Year" 
 set xlabel offset 0,-0.5 font "Verdana Bold,16"
 set xrange [ 1200.00 : 2011.00 ]
 set xtics border out nomirror
 set xtics 1400.00,50 font "Verdana,13" textcolor rgb "black" 
 set xtics add ("2000\nBCE" 1230.00, "250   \nBCE   " 1317.00, "480" 1354.00)
 set nomxtics
 set logscale y 100
 set format y "10^{%T}"
 set ylabel "Number of decimal digits" 
 set ylabel offset -2,0 font "Verdana Bold,16"
 set yrange [ 1.00000 : 1.00000e+014 ]
 set ytics border out nomirror
 set ytics 10000,100 font "Verdana,13" textcolor rgb "black" 
 set ytics add ("1" 1.00000, "100" 100.000)
 set nomytics
 plot [1230:2011] "pi.dat" with steps linewidth 2 linecolor rgb "blue"
 #    EOF

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-3.0#Record%20pi%20approximations.svgCategory:Self-published work
Category:Approximation of pi Category:English-language SVG Category:History of mathematics Category:Images with Gnuplot source code Category:Mathematical diagrams
Category:Approximation of pi Category:CC-BY-SA-3.0 Category:English-language SVG Category:Files allowed to be overwritten by everyone Category:Files with derivative versions Category:History of mathematics Category:Images with Gnuplot source code Category:Mathematical diagrams Category:Self-published work Category:Translation possible - SVG (switch) Category:Valid SVG created with Gnuplot:Trigonometry