Keywords: Mexican hat potential polar.svg en This is a graph of the Mexican wavelet function in polar coordinates It illustrates en spontaneous symmetry breaking It is intended to supersede File Spontaneous symmetry breaking jpg which was tagged as a bad jpeg This is a surface of revolution obtained by rotating <math>y x 2-1 2</math> about the y axis The script for en gnuplot follows <pre> /usr/bin/gnuplot -persist G N U P L O T Version 4 2 patchlevel 4 last modified Sep 2008 System Linux 2 6 28-15-generic Copyright C 1986 - 1993 1998 2004 2007 2008 Thomas Williams Colin Kelley and many others Type `help` to access the on-line reference manual The gnuplot FAQ is available from http //www gnuplot info/faq/ Send bug reports and suggestions to <http //sourceforge net/projects/gnuplot> set terminal wxt 0 set output unset clip points set clip one unset clip two set bar 1 000000 unset border set xdata set ydata set zdata set x2data set y2data set timefmt x d/ m/ y H M set timefmt y d/ m/ y H M set timefmt z d/ m/ y H M set timefmt x2 d/ m/ y H M set timefmt y2 d/ m/ y H M set timefmt cb d/ m/ y H M set boxwidth set style fill empty border set style rectangle back fc lt -3 fillstyle solid 1 00 border -1 set dummy x y set format x g set format y g set format x2 g set format y2 g set format z g set format cb g set angles radians unset grid set key title unset key unset label unset arrow set style increment default unset style line unset style arrow set style histogram clustered gap 2 title offset character 0 0 0 unset logscale set offsets 0 0 0 0 set pointsize 1 set encoding default unset polar unset parametric unset decimalsign set view 52 253 1 1 set samples 40 40 set isosamples 40 40 set surface set contour base set clabel ' 8 3g' set mapping cartesian set datafile separator whitespace set hidden3d offset 0 trianglepattern 3 undefined 1 altdiagonal bentover set cntrparam order 4 set cntrparam linear set cntrparam levels incremental 0 1 4 1 4 set cntrparam points 5 set size ratio 0 1 1 set origin 0 0 set style data points set style function lines set xzeroaxis linetype -2 linewidth 1 000 set yzeroaxis linetype -2 linewidth 1 000 set zzeroaxis linetype -2 linewidth 1 000 set x2zeroaxis linetype -2 linewidth 1 000 set y2zeroaxis linetype -2 linewidth 1 000 set ticslevel 0 5 set mxtics default set mytics default set mztics default set mx2tics default set my2tics default set mcbtics default set noxtics set noytics set noztics set nox2tics set noy2tics set cbtics border in scale 1 0 5 mirror norotate offset character 0 0 0 set cbtics autofreq set title set title offset character 0 0 0 font norotate set timestamp bottom set timestamp set timestamp offset character 0 0 0 font norotate set rrange noreverse nowriteback currently 0 00000 10 0000 set trange noreverse nowriteback currently -5 00000 5 00000 set urange noreverse nowriteback currently -5 00000 5 00000 set vrange noreverse nowriteback currently -5 00000 5 00000 set xlabel set xlabel offset character 0 0 0 font textcolor lt -1 norotate set x2label set x2label offset character 0 0 0 font textcolor lt -1 norotate set xrange -1 00000 1 00000 noreverse nowriteback set x2range -3 29206 3 34697 noreverse nowriteback set ylabel set ylabel offset character 0 0 0 font textcolor lt -1 rotate by 90 set y2label set y2label offset character 0 0 0 font textcolor lt -1 rotate by 90 set yrange -1 00000 1 00000 noreverse nowriteback set y2range 853 321 878 574 noreverse nowriteback set zlabel set zlabel offset character 0 0 0 font textcolor lt -1 norotate set zrange 1 50000 noreverse nowriteback currently -1 80000 set cblabel set cblabel offset character 0 0 0 font textcolor lt -1 rotate by 90 set cbrange noreverse nowriteback currently -10 0000 10 0000 set zero 1e-08 set lmargin -1 set bmargin -1 set rmargin -1 set tmargin -1 set locale C set pm3d explicit at s set pm3d scansautomatic set pm3d interpolate 1 1 flush begin noftriangles nohidden3d corners2color mean set palette positive nops_allcF maxcolors 0 gamma 1 5 color model RGB set palette rgbformulae 7 5 15 set colorbox default set colorbox vertical origin screen 0 9 0 2 0 size screen 0 05 0 6 0 front bdefault set loadpath set fontpath set fit noerrorvariables set terminal svg set parametric set urange -pi pi set vrange 0 1 25 set xrange set yrange set zrange set hidden3d offset 1 set style line 1 lt rgb black lw 1 set style line 2 lt rgb bbbbbb lw 1 splot cos u v sin u v v 2 - 1 2 ls 1 pause -1 EOF </pre> Own work by uploader with gnuplot RupertMillard 2009-09-11 Gnuplot diagrams Images with Gnuplot source code Spontaneous symmetry breaking |