Merge pull request #1 from AndreasFMueller/master

update

1 files changed, 203 insertions, 0 deletions

diff --git a/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pov b/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pov
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index 0000000..e696481
--- /dev/null
+++ b/buch/chapters/80-wahrscheinlichkeit/images/vergleich.pov
@@ -0,0 +1,203 @@
+//
+// diffusion.pov
+//
+// (c) 2021 Prof Dr Andreas Müller, OST Ostscheizer Fachhochschule
+//
+#version 3.7;
+#include "colors.inc"
+#include "textures.inc"
+#include "transforms.inc"
+
+global_settings {
+	assumed_gamma 1
+}
+
+#declare imagescale = 0.077;
+#declare N = 30;
+#declare vscale = 10;
+#declare r = 0.04;
+
+camera {
+        location <43, 20, -20>
+        look_at <1, 0.83, 2.5>
+        right 16/9 * x * imagescale
+        up y * imagescale
+}
+
+light_source {
+        <20, 60, -80> color White
+        area_light <1,0,0> <0,0,1>, 40, 40
+        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
+
+#declare O = <0,0,0>;
+#declare Ex = <1,0,0>;
+#declare Ey = <0,1,0>;
+#declare Ez = <0,0,1>;
+#declare s = 3;
+
+#declare A_transformation = Matrix_Trans(<1.0300,0.2050,0.1050>,<0.4100,1.0250,0.1100>,<0.4200,0.2200,1.0150>,<0,0,0>);
+//#declare A_transformation = Matrix_Trans(<1.0300,0.2050,0.1050>,<0.4100,1.0250,0.1100>,<0.4200,0.2200,0.5150>,<0,0,0>);
+
+arrow(O, s * Ex, r, rgb<0.6,0.2,0.4>)
+arrow(O, s * Ez, r, rgb<0.2,0.4,0.2>)
+arrow(O, s * Ey, r, rgb<0.2,0.2,0.4>)
+
+#declare A = vtransform(Ex, A_transformation);
+#declare B = vtransform(Ey, A_transformation);
+#declare C = vtransform(Ez, A_transformation);
+
+#macro quadrant(rad)
+intersection {
+	sphere { <0, 0, 0>, rad
+		//A_transformation
+		matrix <A.x, A.y, A.z,
+			B.x, B.y, B.z,
+			C.x, C.y, C.z,
+			0,   0,   0    >
+	}
+	plane { vnormalize(-vcross(A, B)), 0 }
+	plane { vnormalize(-vcross(B, C)), 0 }
+	plane { vnormalize(-vcross(C, A)), 0 }
+	pigment {
+		color rgbf<0.8,1,1,0.5>
+		//color rgb<0.8,1,1>
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+union {
+	cylinder { O, s*A, 0.3*r }
+	sphere { s*A, 0.3*r }
+	cylinder { O, s*B, 0.3*r }
+	sphere { s*B, 0.3*r }
+	cylinder { O, s*C, 0.3*r }
+	sphere { s*C, 0.3*r }
+	pigment {
+		color White
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+#end
+
+#declare d = 3;
+//union {
+//	plane { <0, 1, 0>, -d }
+//	plane { <1, 0, 0>, -d }
+//	pigment {
+//		color Gray
+//	}
+//	finish {
+//		specular 0.9
+//	}
+//}
+
+quadrant(s)
+
+#declare V = < 1, 1, 0 >;
+#declare U = < 1.3, 2.5, 0 >;
+
+#declare VV = vtransform(V, A_transformation);
+#declare Vx = vtransform(<V.x, 0, 0>, A_transformation);
+#declare Vy = vtransform(<0, V.y, 0>, A_transformation);
+#declare UU = vtransform(U, A_transformation);
+#declare Ux = vtransform(<U.x, 0, 0>, A_transformation);
+#declare Uy = vtransform(<0, U.y, 0>, A_transformation);
+
+union {
+	sphere { V, r }
+	sphere { U, r }
+	cylinder { U, V, 0.5*r }
+	pigment {
+		color Red
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+
+union {
+	cylinder { < U.x,   0, 0 >, < U.x, U.y,   0>, 0.3 * r }
+	cylinder { < V.x,   0, 0 >, < V.x, V.y,   0>, 0.3 * r }
+	cylinder { <   0, U.y, 0 >, < U.x, U.y,   0>, 0.3 * r }
+	cylinder { <   0, V.y, 0 >, < V.x, V.y,   0>, 0.3 * r }
+	pigment {
+		color rgb<1, 0.6, 1>
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+
+union {
+	sphere { VV, r }
+	sphere { UU, r }
+	cylinder { UU, VV, 0.5*r }
+	pigment {
+		color Yellow
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+
+union {
+	cylinder { Ux, UU, 0.3 * r }
+	cylinder { Uy, UU, 0.3 * r }
+	cylinder { Vx, VV, 0.3 * r }
+	cylinder { Vy, VV, 0.3 * r }
+	pigment {
+		color rgb<1, 1, 0.6>
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}