From 78a408188971844605dc913dc2a5ddcb99023150 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Sat, 30 Jan 2021 12:39:53 +0100
Subject: add more algebra stuff

---
 .../chapters/10-vektorenmatrizen/images/ideale.tex | 72 ++++++++++++++++++++++
 1 file changed, 72 insertions(+)
 create mode 100644 buch/chapters/10-vektorenmatrizen/images/ideale.tex

(limited to 'buch/chapters/10-vektorenmatrizen/images/ideale.tex')

diff --git a/buch/chapters/10-vektorenmatrizen/images/ideale.tex b/buch/chapters/10-vektorenmatrizen/images/ideale.tex
new file mode 100644
index 0000000..9793c8e
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/images/ideale.tex
@@ -0,0 +1,72 @@
+%
+% ideale.tex -- Ideale in den ganzen Gaussschen Zahlen
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\begin{tikzpicture}[>=latex,thick,scale=0.35]
+\begin{scope}[xshift=-9.5cm]
+\begin{scope}
+\clip (-8.3,-8.3) rectangle (8.3,8.3);
+	\foreach \x in {-8,...,8}{
+		\foreach \y in {-8,...,8}{
+			\fill (\x,\y) circle[radius=0.08];
+		}
+	}
+	\foreach \x in {-8,...,8}{
+		\foreach \y in {-8,...,8}{
+			\fill[color=blue]
+				({\x-2*\y},{2*\x+\y}) circle[radius=0.12];
+		}
+	}
+	\foreach \x in {-8,...,8}{
+		\draw[color=blue,line width=0.5pt]
+			({\x-2*(-8)},{2*\x+(-8)}) 
+			--
+			({\x-2*8},{2*\x+8});
+	}
+	\foreach \y in {-8,...,8}{
+		\draw[color=blue,line width=0.5pt]
+			({(-8)-2*\y},{2*(-8)+\y}) 
+			--
+			({8-2*\y},{2*8+\y});
+	}
+\end{scope}
+	\draw[->] (-8.3,0) -- (9.1,0) coordinate[label={$\Re z$}];
+	\draw[->] (0,-8.3) -- (0,8.9) coordinate[label={right:$\Im z$}];
+\end{scope}
+
+\begin{scope}[xshift=9.5cm]
+\begin{scope}
+\clip (-8.3,-8.3) rectangle (8.3,8.3);
+	\foreach \x in {-8,...,8}{
+		\foreach \y in {-8,...,8}{
+			\fill[color=red] ({\x-\y},{\x+\y}) circle[radius=0.12];
+		}
+	}
+	\foreach \x in {-8,...,8}{
+		\foreach \y in {-8,...,8}{
+			\fill (\x,\y) circle[radius=0.08];
+		}
+	}
+	\foreach \x in {-8,...,8}{
+		\draw[color=red,line width=0.5pt]
+			({\x+8},{\x-8}) -- ({\x-8},{\x+8});
+		\draw[color=red,line width=0.5pt]
+			({-8-\x},{-8+\x}) -- ({8-\x},{8+\x});
+	}
+\end{scope}
+	\draw[->] (-8.3,0) -- (9.1,0) coordinate[label={$\Re z$}];
+	\draw[->] (0,-8.3) -- (0,8.9) coordinate[label={right:$\Im z$}];
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
-- 
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