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authorAndreas Müller <andreas.mueller@ost.ch>2022-05-21 12:46:02 +0200
committerAndreas Müller <andreas.mueller@ost.ch>2022-05-21 12:46:02 +0200
commit50a85dc3d19cb91dfc99aa8157cc20f9d6ee32bc (patch)
tree5ff821ce23b5a193032747b583481e2a0cee3c07 /buch/papers/nav
parentcurvature graph (diff)
parentadd dreieck3d9.pov (diff)
downloadSeminarSpezielleFunktionen-50a85dc3d19cb91dfc99aa8157cc20f9d6ee32bc.tar.gz
SeminarSpezielleFunktionen-50a85dc3d19cb91dfc99aa8157cc20f9d6ee32bc.zip
Merge branch 'master' of github.com:AndreasFMueller/SeminarSpezielleFunktionen
Diffstat (limited to '')
-rw-r--r--buch/papers/nav/images/Makefile7
-rw-r--r--buch/papers/nav/images/common.inc60
-rw-r--r--buch/papers/nav/images/dreieck3d9.pov66
3 files changed, 111 insertions, 22 deletions
diff --git a/buch/papers/nav/images/Makefile b/buch/papers/nav/images/Makefile
index bbdea2f..da4defa 100644
--- a/buch/papers/nav/images/Makefile
+++ b/buch/papers/nav/images/Makefile
@@ -114,3 +114,10 @@ dreieck3d8.jpg: dreieck3d8.png
dreieck3d8.pdf: dreieck3d8.tex dreieck3d8.jpg
pdflatex dreieck3d8.tex
+dreieck3d9.png: dreieck3d9.pov common.inc
+ povray +A0.1 $(POVRAYOPTIONS) -Odreieck3d9.png dreieck3d9.pov
+dreieck3d9.jpg: dreieck3d9.png
+ convert dreieck3d9.png -density 300 -units PixelsPerInch dreieck3d9.jpg
+dreieck3d9.pdf: dreieck3d9.tex dreieck3d9.jpg
+ pdflatex dreieck3d9.tex
+
diff --git a/buch/papers/nav/images/common.inc b/buch/papers/nav/images/common.inc
index e2a1ed0..2c0ae6e 100644
--- a/buch/papers/nav/images/common.inc
+++ b/buch/papers/nav/images/common.inc
@@ -12,6 +12,7 @@ global_settings {
#declare imagescale = 0.034;
+#declare O = <0, 0, 0>;
#declare A = vnormalize(< 0, 1, 0>);
#declare B = vnormalize(< 1, 2, -8>);
#declare C = vnormalize(< 5, 1, 0>);
@@ -102,8 +103,8 @@ union {
#declare pp = vnormalize(p - vdot(n, p) * n);
#declare qq = vnormalize(q - vdot(n, q) * n);
intersection {
- sphere { <0, 0, 0>, 1 + staerke }
- cone { <0, 0, 0>, 0, 1.2 * vnormalize(w), r }
+ sphere { O, 1 + staerke }
+ cone { O, 0, 1.2 * vnormalize(w), r }
plane { -vcross(n, qq) * vdot(vcross(n, qq), pp), 0 }
plane { -vcross(n, pp) * vdot(vcross(n, pp), qq), 0 }
}
@@ -132,6 +133,35 @@ union {
}
#end
+#macro ebenerwinkel(a, p, q, s, r, farbe)
+ #declare n = vnormalize(-vcross(p, q));
+ #declare np = vnormalize(-vcross(p, n));
+ #declare nq = -vnormalize(-vcross(q, n));
+// arrow(a, a + n, 0.02, White)
+// arrow(a, a + np, 0.01, Red)
+// arrow(a, a + nq, 0.01, Blue)
+ intersection {
+ cylinder { a - (s/2) * n, a + (s/2) * n, r }
+ plane { np, vdot(np, a) }
+ plane { nq, vdot(nq, a) }
+ pigment {
+ farbe
+ }
+ finish {
+ metallic
+ specular 0.5
+ }
+ }
+#end
+
+#macro komplement(a, p, q, s, r, farbe)
+ #declare n = vnormalize(-vcross(p, q));
+// arrow(a, a + n, 0.015, Orange)
+ #declare m = vnormalize(-vcross(q, n));
+// arrow(a, a + m, 0.015, Pink)
+ ebenerwinkel(a, p, m, s, r, farbe)
+#end
+
#declare fett = 0.015;
#declare fein = 0.010;
@@ -143,29 +173,15 @@ union {
#declare gruen = rgb<0,0.6,0>;
#declare blau = rgb<0.2,0.2,0.8>;
+#declare kugelfarbe = rgb<0.8,0.8,0.8>;
+#declare kugeltransparent = rgbt<0.8,0.8,0.8,0.5>;
+
+#macro kugel(farbe)
sphere {
<0, 0, 0>, 1
pigment {
- color rgb<0.8,0.8,0.8>
+ color farbe
}
}
+#end
-//union {
-// sphere { A, 0.02 }
-// sphere { B, 0.02 }
-// sphere { C, 0.02 }
-// sphere { P, 0.02 }
-// pigment {
-// color Red
-// }
-//}
-
-//union {
-// winkel(A, B, C)
-// winkel(B, P, C)
-// seite(B, C, 0.01)
-// seite(B, P, 0.01)
-// pigment {
-// color rgb<0,0.6,0>
-// }
-//}
diff --git a/buch/papers/nav/images/dreieck3d9.pov b/buch/papers/nav/images/dreieck3d9.pov
new file mode 100644
index 0000000..24d3843
--- /dev/null
+++ b/buch/papers/nav/images/dreieck3d9.pov
@@ -0,0 +1,66 @@
+//
+// dreiecke3d8.pov
+//
+// (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+//
+#include "common.inc"
+
+//union {
+// seite(A, B, fein)
+// seite(B, C, fein)
+// seite(A, C, fein)
+// seite(A, P, fein)
+// seite(B, P, fett)
+// seite(C, P, fett)
+// punkt(A, fein)
+// punkt(B, fett)
+// punkt(C, fett)
+// punkt(P, fett)
+// pigment {
+// color dreieckfarbe
+// }
+// finish {
+// specular 0.95
+// metallic
+// }
+//}
+
+//dreieck(A, B, C, White)
+
+kugel(kugeltransparent)
+
+ebenerwinkel(O, C, P, 0.01, 1.001, rot)
+ebenerwinkel(P, C, P, 0.01, 0.3, rot)
+komplement(P, C, P, 0.01, 0.3, Yellow)
+
+ebenerwinkel(O, B, P, 0.01, 1.001, blau)
+ebenerwinkel(P, B, P, 0.01, 0.3, blau)
+komplement(P, B, P, 0.01, 0.3, Green)
+
+arrow(B, 1.5 * B, 0.015, White)
+arrow(C, 1.5 * C, 0.015, White)
+arrow(P, 1.5 * P, 0.015, White)
+
+union {
+ cylinder { O, P, 0.7 * fein }
+
+ cylinder { P, P + 3 * B, 0.7 * fein }
+ cylinder { O, B + 3 * B, 0.7 * fein }
+
+ cylinder { P, P + 3 * C, 0.7 * fein }
+ cylinder { O, C + 3 * C, 0.7 * fein }
+
+ pigment {
+ color White
+ }
+}
+
+#declare imagescale = 0.044;
+
+camera {
+ location <40, 20, -20>
+ look_at <0, 0.24, -0.20>
+ right x * imagescale
+ up y * imagescale
+}
+