From 123a5f4a7d5afb554d17a6ffc795a7bf1921abf0 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Sun, 22 Aug 2021 11:16:26 +0200
Subject: add additional image

---
 buch/papers/clifford/images/spiegelung.m | 66 ++++++++++++++++++++++++++++++++
 1 file changed, 66 insertions(+)
 create mode 100644 buch/papers/clifford/images/spiegelung.m

(limited to 'buch/papers/clifford/images/spiegelung.m')

diff --git a/buch/papers/clifford/images/spiegelung.m b/buch/papers/clifford/images/spiegelung.m
new file mode 100644
index 0000000..a086cb5
--- /dev/null
+++ b/buch/papers/clifford/images/spiegelung.m
@@ -0,0 +1,66 @@
+#
+# spiegelung.m
+#
+#
+fn = fopen("punkte.tex", "w");
+
+
+a = [ 2.3; 1.7 ];
+b = [ 4.3; 2.5 ];
+c = [ 2.8; 2.7 ];
+s = (a + b + c)/3;
+
+fprintf(fn, "\\coordinate (A) at (%.3f,%.3f);\n", a(1, 1), a(2, 1));
+fprintf(fn, "\\coordinate (B) at (%.3f,%.3f);\n", b(1, 1), b(2, 1));
+fprintf(fn, "\\coordinate (C) at (%.3f,%.3f);\n", c(1, 1), c(2, 1));
+fprintf(fn, "\\coordinate (S) at (%.3f,%.3f);\n", s(1, 1), s(2, 1));
+
+n1 = [ -2.5; 1.4 ];
+n1 = n1 / norm(n1);
+S1 = eye(2) - 2 * (n1 * n1');
+g1 = [ n1(2,1); -n1(1,1) ];
+
+fprintf(fn, "\\coordinate (G1) at (%.3f,%.3f);\n", g1(1,1), g1(2,1));
+fprintf(fn, "\\coordinate (G1oben) at (%.3f,%.3f);\n", 10*g1(1,1), 10*g1(2,1));
+fprintf(fn, "\\coordinate (G1unten) at (%.3f,%.3f);\n", -10*g1(1,1), -10*g1(2,1));
+
+n2 = [ 1.4; 0.5 ];
+n2 = n2 / norm(n2);
+S2 = eye(2) - 2 * (n2 * n2');
+g2 = [ n2(2,1); -n2(1,1) ];
+
+fprintf(fn, "\\coordinate (G2) at (%.3f,%.3f);\n", g2(1,1), g2(2,1));
+fprintf(fn, "\\coordinate (G2oben) at (%.3f,%.3f);\n", 10*g2(1,1), 10*g2(2,1));
+fprintf(fn, "\\coordinate (G2unten) at (%.3f,%.3f);\n", -10*g2(1,1), -10*g2(2,1));
+
+D = S2 * S1;
+
+a1 = S1 * a;
+b1 = S1 * b;
+c1 = S1 * c;
+s1 = S1 * s;
+
+fprintf(fn, "\\coordinate (A1) at (%.3f,%.3f);\n", a1(1, 1), a1(2, 1));
+fprintf(fn, "\\coordinate (B1) at (%.3f,%.3f);\n", b1(1, 1), b1(2, 1));
+fprintf(fn, "\\coordinate (C1) at (%.3f,%.3f);\n", c1(1, 1), c1(2, 1));
+fprintf(fn, "\\coordinate (S1) at (%.3f,%.3f);\n", s1(1, 1), s1(2, 1));
+
+a2 = D * a;
+b2 = D * b;
+c2 = D * c;
+s2 = D * s;
+
+fprintf(fn, "\\coordinate (A2) at (%.3f,%.3f);\n", a2(1, 1), a2(2, 1));
+fprintf(fn, "\\coordinate (B2) at (%.3f,%.3f);\n", b2(1, 1), b2(2, 1));
+fprintf(fn, "\\coordinate (C2) at (%.3f,%.3f);\n", c2(1, 1), c2(2, 1));
+fprintf(fn, "\\coordinate (S2) at (%.3f,%.3f);\n", s2(1, 1), s2(2, 1));
+
+winkel1 = atan2(g1(2,1), g1(1,1)) * (180 / pi);
+winkel2 = acosd(g1' * g2);
+
+fprintf(fn, "\\def\\winkela{%.4f}\n", winkel1);
+fprintf(fn, "\\def\\winkelb{%.4f}\n", 180 - winkel2);
+
+fprintf(fn, "\\coordinate (G) at (%.3f,%.3f);\n", g1(1,1), g1(2,1));
+
+fclose(fn);
-- 
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