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authorNao Pross <np@0hm.ch>2022-08-16 17:16:27 +0200
committerNao Pross <np@0hm.ch>2022-08-16 17:18:37 +0200
commit1cd844f0459df9d264c5552047af320b378df8ba (patch)
tree32dfe238c3887bb7f51f6ee4e049502f281df1d0 /buch/papers/kugel/images/curvature.pov
parentMerge remote-tracking branch 'manuel/master' (diff)
downloadSeminarSpezielleFunktionen-1cd844f0459df9d264c5552047af320b378df8ba.tar.gz
SeminarSpezielleFunktionen-1cd844f0459df9d264c5552047af320b378df8ba.zip
kugel: Reorganize figures directory, add tikz spherical coordinates and flux
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-rw-r--r--buch/papers/kugel/images/curvature.pov139
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diff --git a/buch/papers/kugel/images/curvature.pov b/buch/papers/kugel/images/curvature.pov
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-//
-// curvature.pov
-//
-// (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
-//
-
-#version 3.7;
-#include "colors.inc"
-
-global_settings {
- assumed_gamma 1
-}
-
-#declare imagescale = 0.09;
-
-camera {
- location <10, 10, -40>
- look_at <0, 0, 0>
- right 16/9 * x * imagescale
- up y * imagescale
-}
-
-light_source {
- <-10, 10, -40> color White
- area_light <1,0,0> <0,0,1>, 10, 10
- adaptive 1
- jitter
-}
-
-sky_sphere {
- pigment {
- color rgb<1,1,1>
- }
-}
-
-//
-// draw an arrow from <from> to <to> with thickness <arrowthickness> with
-// color <c>
-//
-#macro arrow(from, to, arrowthickness, c)
-#declare arrowdirection = vnormalize(to - from);
-#declare arrowlength = vlength(to - from);
-union {
- sphere {
- from, 1.1 * arrowthickness
- }
- cylinder {
- from,
- from + (arrowlength - 5 * arrowthickness) * arrowdirection,
- arrowthickness
- }
- cone {
- from + (arrowlength - 5 * arrowthickness) * arrowdirection,
- 2 * arrowthickness,
- to,
- 0
- }
- pigment {
- color c
- }
- finish {
- specular 0.9
- metallic
- }
-}
-#end
-
-arrow(<-3.1,0,0>, <3.1,0,0>, 0.01, White)
-arrow(<0,-1,0>, <0,1,0>, 0.01, White)
-arrow(<0,0,-2.1>, <0,0,2.1>, 0.01, White)
-
-#include "curvature.inc"
-
-#declare sigma = 1;
-#declare s = 1.4;
-#declare N0 = 0.4;
-#declare funktion = function(r) {
- (exp(-r*r/(sigma*sigma)) / sigma
- -
- exp(-r*r/(2*sigma*sigma)) / (sqrt(2)*sigma)) / N0
-};
-#declare hypot = function(xx, yy) { sqrt(xx*xx+yy*yy) };
-
-#declare Funktion = function(x,y) { funktion(hypot(x+s,y)) - funktion(hypot(x-s,y)) };
-#macro punkt(xx,yy)
- <xx, Funktion(xx, yy), yy>
-#end
-
-#declare griddiameter = 0.006;
-union {
- #declare xmin = -3;
- #declare xmax = 3;
- #declare ymin = -2;
- #declare ymax = 2;
-
-
- #declare xstep = 0.2;
- #declare ystep = 0.02;
- #declare xx = xmin;
- #while (xx < xmax + xstep/2)
- #declare yy = ymin;
- #declare P = punkt(xx, yy);
- #while (yy < ymax - ystep/2)
- #declare yy = yy + ystep;
- #declare Q = punkt(xx, yy);
- sphere { P, griddiameter }
- cylinder { P, Q, griddiameter }
- #declare P = Q;
- #end
- sphere { P, griddiameter }
- #declare xx = xx + xstep;
- #end
-
- #declare xstep = 0.02;
- #declare ystep = 0.2;
- #declare yy = ymin;
- #while (yy < ymax + ystep/2)
- #declare xx = xmin;
- #declare P = punkt(xx, yy);
- #while (xx < xmax - xstep/2)
- #declare xx = xx + xstep;
- #declare Q = punkt(xx, yy);
- sphere { P, griddiameter }
- cylinder { P, Q, griddiameter }
- #declare P = Q;
- #end
- sphere { P, griddiameter }
- #declare yy = yy + ystep;
- #end
-
- pigment {
- color rgb<0.8,0.8,0.8>
- }
- finish {
- metallic
- specular 0.8
- }
-}
-