diff options
Diffstat (limited to 'vorlesungen/slides/7/images')
68 files changed, 385 insertions, 0 deletions
diff --git a/vorlesungen/slides/7/images/Makefile b/vorlesungen/slides/7/images/Makefile new file mode 100644 index 0000000..9de1c34 --- /dev/null +++ b/vorlesungen/slides/7/images/Makefile @@ -0,0 +1,19 @@ +#
+# Makefile -- Illustrationen zu
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+all: rodriguez.jpg
+
+rodriguez.png: rodriguez.pov
+ povray +A0.1 -W1920 -H1080 -Orodriguez.png rodriguez.pov
+
+rodriguez.jpg: rodriguez.png
+ convert -extract 1740x1070+135+10 rodriguez.png rodriguez.jpg
+
+commutator: commutator.ini commutator.pov common.inc
+ povray +A0.1 -W1920 -H1080 -Oc/c.png commutator.ini
+jpg:
+ for f in c/c*.png; do convert $${f} c/`basename $${f} .png`.jpg; done
+
+
diff --git a/vorlesungen/slides/7/images/c/c01.jpg b/vorlesungen/slides/7/images/c/c01.jpg Binary files differnew file mode 100644 index 0000000..b2dbdb2 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c01.jpg diff --git a/vorlesungen/slides/7/images/c/c02.jpg b/vorlesungen/slides/7/images/c/c02.jpg Binary files differnew file mode 100644 index 0000000..9b45ba3 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c02.jpg diff --git a/vorlesungen/slides/7/images/c/c03.jpg b/vorlesungen/slides/7/images/c/c03.jpg Binary files differnew file mode 100644 index 0000000..882be40 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c03.jpg diff --git a/vorlesungen/slides/7/images/c/c04.jpg b/vorlesungen/slides/7/images/c/c04.jpg Binary files differnew file mode 100644 index 0000000..5d26572 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c04.jpg diff --git a/vorlesungen/slides/7/images/c/c05.jpg b/vorlesungen/slides/7/images/c/c05.jpg Binary files differnew file mode 100644 index 0000000..458f565 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c05.jpg diff --git a/vorlesungen/slides/7/images/c/c06.jpg b/vorlesungen/slides/7/images/c/c06.jpg Binary files differnew file mode 100644 index 0000000..cd40cda --- /dev/null +++ b/vorlesungen/slides/7/images/c/c06.jpg diff --git a/vorlesungen/slides/7/images/c/c07.jpg b/vorlesungen/slides/7/images/c/c07.jpg Binary files differnew file mode 100644 index 0000000..3349795 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c07.jpg diff --git a/vorlesungen/slides/7/images/c/c08.jpg b/vorlesungen/slides/7/images/c/c08.jpg Binary files differnew file mode 100644 index 0000000..65048cf --- /dev/null +++ b/vorlesungen/slides/7/images/c/c08.jpg diff --git a/vorlesungen/slides/7/images/c/c09.jpg b/vorlesungen/slides/7/images/c/c09.jpg Binary files differnew file mode 100644 index 0000000..000d502 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c09.jpg diff --git a/vorlesungen/slides/7/images/c/c10.jpg b/vorlesungen/slides/7/images/c/c10.jpg Binary files differnew file mode 100644 index 0000000..064c96b --- /dev/null +++ b/vorlesungen/slides/7/images/c/c10.jpg diff --git a/vorlesungen/slides/7/images/c/c11.jpg b/vorlesungen/slides/7/images/c/c11.jpg Binary files differnew file mode 100644 index 0000000..c67bc5d --- /dev/null +++ b/vorlesungen/slides/7/images/c/c11.jpg diff --git a/vorlesungen/slides/7/images/c/c12.jpg b/vorlesungen/slides/7/images/c/c12.jpg Binary files differnew file mode 100644 index 0000000..f2174de --- /dev/null +++ b/vorlesungen/slides/7/images/c/c12.jpg diff --git a/vorlesungen/slides/7/images/c/c13.jpg b/vorlesungen/slides/7/images/c/c13.jpg Binary files differnew file mode 100644 index 0000000..3cb5ae6 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c13.jpg diff --git a/vorlesungen/slides/7/images/c/c14.jpg b/vorlesungen/slides/7/images/c/c14.jpg Binary files differnew file mode 100644 index 0000000..6985e4f --- /dev/null +++ b/vorlesungen/slides/7/images/c/c14.jpg diff --git a/vorlesungen/slides/7/images/c/c15.jpg b/vorlesungen/slides/7/images/c/c15.jpg Binary files differnew file mode 100644 index 0000000..5bb5aed --- /dev/null +++ b/vorlesungen/slides/7/images/c/c15.jpg diff --git a/vorlesungen/slides/7/images/c/c16.jpg b/vorlesungen/slides/7/images/c/c16.jpg Binary files differnew file mode 100644 index 0000000..cc77fa1 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c16.jpg diff --git a/vorlesungen/slides/7/images/c/c17.jpg b/vorlesungen/slides/7/images/c/c17.jpg Binary files differnew file mode 100644 index 0000000..a60e2e9 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c17.jpg diff --git a/vorlesungen/slides/7/images/c/c18.jpg b/vorlesungen/slides/7/images/c/c18.jpg Binary files differnew file mode 100644 index 0000000..1d08c29 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c18.jpg diff --git a/vorlesungen/slides/7/images/c/c19.jpg b/vorlesungen/slides/7/images/c/c19.jpg Binary files differnew file mode 100644 index 0000000..9210c60 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c19.jpg diff --git a/vorlesungen/slides/7/images/c/c20.jpg b/vorlesungen/slides/7/images/c/c20.jpg Binary files differnew file mode 100644 index 0000000..8951883 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c20.jpg diff --git a/vorlesungen/slides/7/images/c/c21.jpg b/vorlesungen/slides/7/images/c/c21.jpg Binary files differnew file mode 100644 index 0000000..5169c7e --- /dev/null +++ b/vorlesungen/slides/7/images/c/c21.jpg diff --git a/vorlesungen/slides/7/images/c/c22.jpg b/vorlesungen/slides/7/images/c/c22.jpg Binary files differnew file mode 100644 index 0000000..bdeb90b --- /dev/null +++ b/vorlesungen/slides/7/images/c/c22.jpg diff --git a/vorlesungen/slides/7/images/c/c23.jpg b/vorlesungen/slides/7/images/c/c23.jpg Binary files differnew file mode 100644 index 0000000..fa3eac7 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c23.jpg diff --git a/vorlesungen/slides/7/images/c/c24.jpg b/vorlesungen/slides/7/images/c/c24.jpg Binary files differnew file mode 100644 index 0000000..52adc13 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c24.jpg diff --git a/vorlesungen/slides/7/images/c/c25.jpg b/vorlesungen/slides/7/images/c/c25.jpg Binary files differnew file mode 100644 index 0000000..d557497 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c25.jpg diff --git a/vorlesungen/slides/7/images/c/c26.jpg b/vorlesungen/slides/7/images/c/c26.jpg Binary files differnew file mode 100644 index 0000000..f825f49 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c26.jpg diff --git a/vorlesungen/slides/7/images/c/c27.jpg b/vorlesungen/slides/7/images/c/c27.jpg Binary files differnew file mode 100644 index 0000000..0de6c3e --- /dev/null +++ b/vorlesungen/slides/7/images/c/c27.jpg diff --git a/vorlesungen/slides/7/images/c/c28.jpg b/vorlesungen/slides/7/images/c/c28.jpg Binary files differnew file mode 100644 index 0000000..d9f89a4 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c28.jpg diff --git a/vorlesungen/slides/7/images/c/c29.jpg b/vorlesungen/slides/7/images/c/c29.jpg Binary files differnew file mode 100644 index 0000000..937f692 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c29.jpg diff --git a/vorlesungen/slides/7/images/c/c30.jpg b/vorlesungen/slides/7/images/c/c30.jpg Binary files differnew file mode 100644 index 0000000..45901cc --- /dev/null +++ b/vorlesungen/slides/7/images/c/c30.jpg diff --git a/vorlesungen/slides/7/images/c/c31.jpg b/vorlesungen/slides/7/images/c/c31.jpg Binary files differnew file mode 100644 index 0000000..eb52bec --- /dev/null +++ b/vorlesungen/slides/7/images/c/c31.jpg diff --git a/vorlesungen/slides/7/images/c/c32.jpg b/vorlesungen/slides/7/images/c/c32.jpg Binary files differnew file mode 100644 index 0000000..a011640 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c32.jpg diff --git a/vorlesungen/slides/7/images/c/c33.jpg b/vorlesungen/slides/7/images/c/c33.jpg Binary files differnew file mode 100644 index 0000000..ecbb8bd --- /dev/null +++ b/vorlesungen/slides/7/images/c/c33.jpg diff --git a/vorlesungen/slides/7/images/c/c34.jpg b/vorlesungen/slides/7/images/c/c34.jpg Binary files differnew file mode 100644 index 0000000..8a624d1 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c34.jpg diff --git a/vorlesungen/slides/7/images/c/c35.jpg b/vorlesungen/slides/7/images/c/c35.jpg Binary files differnew file mode 100644 index 0000000..33765a1 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c35.jpg diff --git a/vorlesungen/slides/7/images/c/c36.jpg b/vorlesungen/slides/7/images/c/c36.jpg Binary files differnew file mode 100644 index 0000000..e38a448 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c36.jpg diff --git a/vorlesungen/slides/7/images/c/c37.jpg b/vorlesungen/slides/7/images/c/c37.jpg Binary files differnew file mode 100644 index 0000000..9f823f4 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c37.jpg diff --git a/vorlesungen/slides/7/images/c/c38.jpg b/vorlesungen/slides/7/images/c/c38.jpg Binary files differnew file mode 100644 index 0000000..19c96fc --- /dev/null +++ b/vorlesungen/slides/7/images/c/c38.jpg diff --git a/vorlesungen/slides/7/images/c/c39.jpg b/vorlesungen/slides/7/images/c/c39.jpg Binary files differnew file mode 100644 index 0000000..c00482b --- /dev/null +++ b/vorlesungen/slides/7/images/c/c39.jpg diff --git a/vorlesungen/slides/7/images/c/c40.jpg b/vorlesungen/slides/7/images/c/c40.jpg Binary files differnew file mode 100644 index 0000000..de9fca4 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c40.jpg diff --git a/vorlesungen/slides/7/images/c/c41.jpg b/vorlesungen/slides/7/images/c/c41.jpg Binary files differnew file mode 100644 index 0000000..1b8a3d1 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c41.jpg diff --git a/vorlesungen/slides/7/images/c/c42.jpg b/vorlesungen/slides/7/images/c/c42.jpg Binary files differnew file mode 100644 index 0000000..6d4e5bc --- /dev/null +++ b/vorlesungen/slides/7/images/c/c42.jpg diff --git a/vorlesungen/slides/7/images/c/c43.jpg b/vorlesungen/slides/7/images/c/c43.jpg Binary files differnew file mode 100644 index 0000000..b39551f --- /dev/null +++ b/vorlesungen/slides/7/images/c/c43.jpg diff --git a/vorlesungen/slides/7/images/c/c44.jpg b/vorlesungen/slides/7/images/c/c44.jpg Binary files differnew file mode 100644 index 0000000..0fe56f6 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c44.jpg diff --git a/vorlesungen/slides/7/images/c/c45.jpg b/vorlesungen/slides/7/images/c/c45.jpg Binary files differnew file mode 100644 index 0000000..9196ad3 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c45.jpg diff --git a/vorlesungen/slides/7/images/c/c46.jpg b/vorlesungen/slides/7/images/c/c46.jpg Binary files differnew file mode 100644 index 0000000..a4f5823 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c46.jpg diff --git a/vorlesungen/slides/7/images/c/c47.jpg b/vorlesungen/slides/7/images/c/c47.jpg Binary files differnew file mode 100644 index 0000000..18474dd --- /dev/null +++ b/vorlesungen/slides/7/images/c/c47.jpg diff --git a/vorlesungen/slides/7/images/c/c48.jpg b/vorlesungen/slides/7/images/c/c48.jpg Binary files differnew file mode 100644 index 0000000..d839014 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c48.jpg diff --git a/vorlesungen/slides/7/images/c/c49.jpg b/vorlesungen/slides/7/images/c/c49.jpg Binary files differnew file mode 100644 index 0000000..3cb5cb0 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c49.jpg diff --git a/vorlesungen/slides/7/images/c/c50.jpg b/vorlesungen/slides/7/images/c/c50.jpg Binary files differnew file mode 100644 index 0000000..de32f8b --- /dev/null +++ b/vorlesungen/slides/7/images/c/c50.jpg diff --git a/vorlesungen/slides/7/images/c/c51.jpg b/vorlesungen/slides/7/images/c/c51.jpg Binary files differnew file mode 100644 index 0000000..4bbc224 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c51.jpg diff --git a/vorlesungen/slides/7/images/c/c52.jpg b/vorlesungen/slides/7/images/c/c52.jpg Binary files differnew file mode 100644 index 0000000..ebf1db6 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c52.jpg diff --git a/vorlesungen/slides/7/images/c/c53.jpg b/vorlesungen/slides/7/images/c/c53.jpg Binary files differnew file mode 100644 index 0000000..2ece537 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c53.jpg diff --git a/vorlesungen/slides/7/images/c/c54.jpg b/vorlesungen/slides/7/images/c/c54.jpg Binary files differnew file mode 100644 index 0000000..0ffbac2 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c54.jpg diff --git a/vorlesungen/slides/7/images/c/c55.jpg b/vorlesungen/slides/7/images/c/c55.jpg Binary files differnew file mode 100644 index 0000000..5f75419 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c55.jpg diff --git a/vorlesungen/slides/7/images/c/c56.jpg b/vorlesungen/slides/7/images/c/c56.jpg Binary files differnew file mode 100644 index 0000000..5c0f9ae --- /dev/null +++ b/vorlesungen/slides/7/images/c/c56.jpg diff --git a/vorlesungen/slides/7/images/c/c57.jpg b/vorlesungen/slides/7/images/c/c57.jpg Binary files differnew file mode 100644 index 0000000..9b61179 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c57.jpg diff --git a/vorlesungen/slides/7/images/c/c58.jpg b/vorlesungen/slides/7/images/c/c58.jpg Binary files differnew file mode 100644 index 0000000..81d2173 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c58.jpg diff --git a/vorlesungen/slides/7/images/c/c59.jpg b/vorlesungen/slides/7/images/c/c59.jpg Binary files differnew file mode 100644 index 0000000..0ae9bac --- /dev/null +++ b/vorlesungen/slides/7/images/c/c59.jpg diff --git a/vorlesungen/slides/7/images/c/c60.jpg b/vorlesungen/slides/7/images/c/c60.jpg Binary files differnew file mode 100644 index 0000000..2bc77e7 --- /dev/null +++ b/vorlesungen/slides/7/images/c/c60.jpg diff --git a/vorlesungen/slides/7/images/common.inc b/vorlesungen/slides/7/images/common.inc new file mode 100644 index 0000000..b028956 --- /dev/null +++ b/vorlesungen/slides/7/images/common.inc @@ -0,0 +1,70 @@ +//
+// common.inc
+//
+// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+//
+#version 3.7;
+#include "colors.inc"
+
+global_settings {
+ assumed_gamma 1
+}
+
+#declare imagescale = 0.025;
+#declare O = <0, 0, 0>;
+#declare at = 0.015;
+
+camera {
+ location <18, 15, -50>
+ look_at <0.0, 0.5, 0>
+ right 16/9 * x * imagescale
+ up y * imagescale
+}
+
+light_source {
+ <-40, 30, -50> color White
+ area_light <1,0,0> <0,0,1>, 10, 10
+ adaptive 1
+ jitter
+}
+
+sky_sphere {
+ pigment {
+ color rgb<1,1,1>
+ }
+}
+
+#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
+
+#declare l = 1.2;
+
+arrow(< -l, 0, 0 >, < l, 0, 0 >, at, White)
+arrow(< 0, 0, -l >, < 0, 0, l >, at, White)
+arrow(< 0, -l, 0 >, < 0, l, 0 >, at, White)
+
diff --git a/vorlesungen/slides/7/images/commutator.ini b/vorlesungen/slides/7/images/commutator.ini new file mode 100644 index 0000000..44a5ac5 --- /dev/null +++ b/vorlesungen/slides/7/images/commutator.ini @@ -0,0 +1,8 @@ +Input_File_Name=commutator.pov
+Initial_Frame=1
+Final_Frame=60
+Initial_Clock=1
+Final_Clock=60
+Cyclic_Animation=off
+Pause_when_Done=off
+
diff --git a/vorlesungen/slides/7/images/commutator.m b/vorlesungen/slides/7/images/commutator.m new file mode 100644 index 0000000..3f5ea17 --- /dev/null +++ b/vorlesungen/slides/7/images/commutator.m @@ -0,0 +1,111 @@ +#
+# commutator.m
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+X = [
+ 0, 0, 0;
+ 0, 0, -1;
+ 0, 1, 0
+];
+
+Y = [
+ 0, 0, 1;
+ 0, 0, 0;
+ -1, 0, 0
+];
+
+Z = [
+ 0, -1, 0;
+ 1, 0, 0;
+ 0, 0, 0
+];
+
+function retval = Dx(alpha)
+ retval = [
+ 1, 0, 0 ;
+ 0, cos(alpha), -sin(alpha);
+ 0, sin(alpha), cos(alpha)
+ ];
+end
+
+function retval = Dy(beta)
+ retval = [
+ cos(beta), 0, sin(beta);
+ 0, 1, 0 ;
+ -sin(beta), 0, cos(beta)
+ ];
+end
+
+t = 0.9;
+P = Dx(t) * Dy(t)
+Q = Dy(t) * Dx(t)
+P - Q
+(P - Q) * [0;0;1]
+
+function retval = kurven(filename, t)
+ retval = -1;
+ N = 20;
+ fn = fopen(filename, "w");
+ fprintf(fn, "//\n");
+ fprintf(fn, "// %s\n", filename);
+ fprintf(fn, "//\n");
+ fprintf(fn, "#macro XYkurve()\n");
+ for i = (0:N-1)
+ v1 = Dx(t * i / N) * [0;0;1];
+ v2 = Dx(t * (i+1) / N) * [0;0;1];
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1));
+ fprintf(fn, "cylinder { <%.4f,%.4f,%.4f>, <%.4f, %.4f, %.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1), v2(1,1), v2(3,1), v2(2,1));
+ end
+ for i = (0:N-1)
+ v1 = Dx(t) * Dy(t * i / N) * [0;0;1];
+ v2 = Dx(t) * Dy(t * (i+1) / N) * [0;0;1];
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1));
+ fprintf(fn, "cylinder { <%.4f,%.4f,%.4f>, <%.4f, %.4f, %.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1), v2(1,1), v2(3,1), v2(2,1));
+ end
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v2(1,1), v2(3,1), v2(2,1));
+ fprintf(fn, "#end\n");
+ fprintf(fn, "#declare finalXY = <%.4f, %.4f, %.4f>;\n",
+ v2(1,1), v2(3,1), v2(2,1));
+ fprintf(fn, "#macro YXkurve()\n");
+ for i = (0:N-1)
+ v1 = Dy(t * i / N) * [0;0;1];
+ v2 = Dy(t * (i+1) / N) * [0;0;1];
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1));
+ fprintf(fn, "cylinder { <%.4f,%.4f,%.4f>, <%.4f, %.4f, %.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1), v2(1,1), v2(3,1), v2(2,1));
+ end
+ for i = (0:N-1)
+ v1 = Dy(t) * Dx(t * i / N) * [0;0;1];
+ v2 = Dy(t) * Dx(t * (i+1) / N) * [0;0;1];
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1));
+ fprintf(fn, "cylinder { <%.4f,%.4f,%.4f>, <%.4f, %.4f, %.4f>, at }\n",
+ v1(1,1), v1(3,1), v1(2,1), v2(1,1), v2(3,1), v2(2,1));
+ end
+ fprintf(fn, "sphere { <%.4f,%.4f,%.4f>, at }\n",
+ v2(1,1), v2(3,1), v2(2,1));
+ fprintf(fn, "#end\n");
+ fprintf(fn, "#declare finalYX = <%.4f, %.4f, %.4f>;\n",
+ v2(1,1), v2(3,1), v2(2,1));
+
+ fclose(fn);
+ retval = 0;
+end
+
+function retval = kurve(i)
+ n = pi / 180;
+ filename = sprintf("f/%04d.inc", i);
+ kurven(filename, n * i);
+end
+
+for i = (1:60)
+ kurve(i);
+end
diff --git a/vorlesungen/slides/7/images/commutator.pov b/vorlesungen/slides/7/images/commutator.pov new file mode 100644 index 0000000..8229a06 --- /dev/null +++ b/vorlesungen/slides/7/images/commutator.pov @@ -0,0 +1,59 @@ +//
+// commutator.pov
+//
+// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+//
+#include "common.inc"
+
+sphere { O, 0.99
+ pigment {
+ color rgbt<1,1,1,0.5>
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
+#declare filename = concat("f/", str(clock, -4, 0), ".inc");
+
+#include filename
+
+#declare n1 = vcross(<0,1,0>, finalXY);
+#declare n2 = vcross(<0,1,0>, finalYX);
+
+intersection {
+ sphere { O, 1 }
+ plane { -n1, 0 }
+ plane { n2, 0 }
+ pigment {
+ color rgb<0,0.4,0.1>
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
+union {
+ XYkurve()
+ pigment {
+ color Red
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
+union {
+ YXkurve()
+ pigment {
+ color Blue
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
diff --git a/vorlesungen/slides/7/images/rodriguez.jpg b/vorlesungen/slides/7/images/rodriguez.jpg Binary files differnew file mode 100644 index 0000000..5c49700 --- /dev/null +++ b/vorlesungen/slides/7/images/rodriguez.jpg diff --git a/vorlesungen/slides/7/images/rodriguez.png b/vorlesungen/slides/7/images/rodriguez.png Binary files differnew file mode 100644 index 0000000..6d9e9e4 --- /dev/null +++ b/vorlesungen/slides/7/images/rodriguez.png diff --git a/vorlesungen/slides/7/images/rodriguez.pov b/vorlesungen/slides/7/images/rodriguez.pov new file mode 100644 index 0000000..62306f8 --- /dev/null +++ b/vorlesungen/slides/7/images/rodriguez.pov @@ -0,0 +1,118 @@ +//
+// rodriguez.pov
+//
+// (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+//
+#version 3.7;
+#include "colors.inc"
+
+global_settings {
+ assumed_gamma 1
+}
+
+#declare imagescale = 0.020;
+#declare O = <0, 0, 0>;
+#declare at = 0.015;
+
+camera {
+ location <8, 15, -50>
+ look_at <0.1, 0.475, 0>
+ right 16/9 * x * imagescale
+ up y * imagescale
+}
+
+light_source {
+ <-4, 20, -50> color White
+ area_light <1,0,0> <0,0,1>, 10, 10
+ adaptive 1
+ jitter
+}
+
+sky_sphere {
+ pigment {
+ color rgb<1,1,1>
+ }
+}
+
+#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
+
+#declare K = vnormalize(<0.2,1,0.1>);
+#declare X = vnormalize(<1.1,1,-1.2>);
+#declare O = <0,0,0>;
+
+#declare r = vlength(vcross(K, X)) / vlength(K);
+
+#declare l = 1.0;
+
+arrow(< -l, 0, 0 >, < l, 0, 0 >, at, White)
+arrow(< 0, 0, -l >, < 0, 0, l >, at, White)
+arrow(< 0, -l, 0 >, < 0, l, 0 >, at, White)
+
+arrow(O, X, at, Red)
+arrow(O, K, at, Blue)
+
+#macro punkt(H,phi)
+ ((H-vdot(K,H)*K)*cos(phi) + vcross(K,H)*sin(phi) + vdot(K,X)*K)
+#end
+
+cone { vdot(K, X) * K, r, O, 0
+ pigment {
+ color rgbt<0.6,0.6,0.6,0.5>
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
+
+union {
+ #declare phistep = pi / 100;
+ #declare phi = 0;
+ #while (phi < 2 * pi - phistep/2)
+ sphere { punkt(K, phi), at/2 }
+ cylinder {
+ punkt(X, phi),
+ punkt(X, phi + phistep),
+ at/2
+ }
+ #declare phi = phi + phistep;
+ #end
+ pigment {
+ color Orange
+ }
+ finish {
+ specular 0.9
+ metallic
+ }
+}
+
+arrow(vdot(K,X)*K, punkt(X, 0), at, Yellow)
+#declare Darkgreen = rgb<0,0.5,0>;
+arrow(vdot(K,X)*K, punkt(X, pi/2), at, Darkgreen)
|
