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diff --git a/buch/chapters/80-wahrscheinlichkeit/images/positiv.pov b/buch/chapters/80-wahrscheinlichkeit/images/positiv.pov
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+//
+// diffusion.pov
+//
+// (c) 2021 Prof Dr Andreas Müller, OST Ostscheizer Fachhochschule
+//
+#version 3.7;
+#include "colors.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 {
+        <40, 20, -10> 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(<0,0,0>, <3,0,0>, r, White)
+arrow(<0,0,0>, <0,3,0>, r, White)
+arrow(<0,0,0>, <0,0,3>, r, White)
+
+#macro quadrant(A, B, C)
+intersection {
+	sphere { <0, 0, 0>, 1 
+		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<0.8,1,1,0.7>
+		color rgb<0.8,1,1>
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+#end
+
+#macro eigenvektor(E)
+union {
+	cylinder { -E, 8 * E, r }
+	#declare r0 = 0.7 * r;
+
+	sphere { 3 * <   0, E.y, E.z >, r0 }
+	sphere { 3 * < E.x,   0, E.z >, r0 }
+	sphere { 3 * < E.x, E.y,   0 >, r0 }
+	sphere { 3 * E, r0 }
+
+	cylinder { 3*< E.x,   0,   0 >, 3*< E.x,   0, E.z >, r0 }
+	cylinder { 3*< E.x,   0,   0 >, 3*< E.x, E.y,   0 >, r0 }
+	cylinder { 3*<   0, E.y,   0 >, 3*< E.x, E.y,   0 >, r0 }
+	cylinder { 3*<   0, E.y,   0 >, 3*<   0, E.y, E.z >, r0 }
+	cylinder { 3*<   0,   0, E.z >, 3*<   0, E.y, E.z >, r0 }
+	cylinder { 3*<   0,   0, E.z >, 3*< E.x,   0, E.z >, r0 }
+
+	cylinder { 3*< E.x, E.y,   0 >, 3*E, r0 }
+	cylinder { 3*<   0, E.y, E.z >, 3*E, r0 }
+	cylinder { 3*< E.x,   0, E.z >, 3*E, r0 }
+	pigment {
+		color rgb<1,0.6,1>*0.6
+	}
+	finish {
+		specular 0.9
+		metallic
+	}
+}
+#end
+
+#include "quadrant.inc"
+
+//union {
+//	pigment {
+//		color rgb<0.8,1,1>*0.6
+//	}
+//	finish {
+//		specular 0.9
+//		metallic
+//	}
+//}
+