File:Contravariant Coordinates.svg

Summary

Description
English: Illustration of oblique, rectilinear, contravariant coordinates.
Date Original program and PNG version uploaded 22:01, 6 February 2005
Source SVG rendering of the program used to generate the bitmap image Image:Contravariant_Coordinates.png
Author
  • Original MetaPost program by en:User:Lupin
  • Copied to Wikimedia Commons by User:Maksim
  • Program tweaked to solve clipping problem and rendered as SVG by Qef
Other versions Bitmap rendering of almost identical program: Image:Contravariant_Coordinates.png
SVG development
InfoField
Source code
InfoField

PostScript code

prologues := 3;
input boxes

beginfig(1);
h=5cm;
w=8cm;
theta=60;
xlength=1.7;
ylength=1.3;
pair temp[];
pair w[];
picture lab[];

z0=(0,0);
z1=dir 0 scaled h/2;
z2=dir theta scaled h/2;

w1= xlength*z1;
w2= ylength*z2;
w3= w1+w2;

draw= -0.3xlength*z1--1.8*xlength*z1;
temp1=(0,ylength*y2);
draw -0.3xlength*z1+temp1--1.8*xlength*z1+temp1;

draw= -0.3ylength*z2--1.6*ylength*z2;
temp2=(xlength*x1,0);
draw -0.3ylength*z2+temp2--1.6*ylength*z2+temp2;

drawarrow z0--z1 withpen pencircle scaled 2bp;
drawarrow z0--z2 withpen pencircle scaled 2bp;
drawarrow z0--w3 withpen pencircle scaled 2bp withcolor red;

draw z0 withpen pencircle scaled 4bp;
draw w1 withpen pencircle scaled 4bp;
draw w2 withpen pencircle scaled 4bp;
draw w3 withpen pencircle scaled 4bp;

label.llft(btex $(0,0)\,\,$ etex, z0); 
label.lrt (btex $(x^1,0)$ etex, w1);
label.ulft(btex $(0,x^2)$ etex, w2);
label.urt (btex $\,\,(x^1,x^2)$ etex, w3);
label.lrt (btex head etex, w3);
label.lrt (btex $\!\!$tail etex, z0);
label.ulft(btex $P$ etex, w3);
label.bot (btex $(1,0)$ etex, z1);
label.lft (btex $(0,1)$ etex, z2);

label.urt (btex $x^1$ axis etex, 1.4 w1);
label.rt  (btex $x^2$ axis etex, 1.4 w2);

xx=h/2*xlength; yy=h/2*ylength;

endfig;
end

Data

mpost fig.mp
ps2pdf -dEPSCrop fig.1 fig.pdf
pstoedit -page 1 -dt -xscale 2 -yscale 2 -f sk fig.pdf fig.sk
inkscape -z --vacuum-defs -f fig.sk -l fig.svg

Licensing

Lupin at the English Wikipedia, the copyright holder of this work, hereby publishes it under the following license:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
Attribution:
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.
This licensing tag was added to this file as part of the GFDL licensing update.
Category:CC-BY-SA-3.0-migrated#Contravariant%20Coordinates.svgCategory:License migration completed#Contravariant%20Coordinates.svgCategory:GFDL#Contravariant%20Coordinates.svgCategory:Self-published workCategory:User-created GFDL images#Contravariant%20Coordinates.svg
Category:Differential topology Category:Basis (linear algebra) Category:Decomposition of vectors
Category:Basis (linear algebra) Category:CC-BY-SA-3.0-migrated Category:Decomposition of vectors Category:Differential topology Category:GFDL Category:License migration completed Category:Self-published work Category:User-created GFDL images Category:Valid SVG created with MetaPost code