Basic lattice definitions, approaches

3 files changed, 48 insertions, 9 deletions

diff --git a/img/multi_domain_plain.tikz b/img/multi_domain_plain.tikz
new file mode 100644
index 0000000..29c0276
--- /dev/null
+++ b/img/multi_domain_plain.tikz
@@ -0,0 +1,38 @@
+\begin{tikzpicture}[
+	scale=0.4,
+	coarse/.style={circle,draw=black,inner sep=2pt},
+	fine/.style={circle,draw=black,inner sep=1pt}
+]
+
+\foreach \x in {0,...,3}
+	\foreach \y in {0,...,7}
+		\node[coarse] at (\x,\y){ };
+\foreach \x in {4,...,7}
+	\foreach \y in {0,...,2}
+		\node[coarse] at (\x,\y){ };
+\foreach \x in {4,...,7}
+	\foreach \y in {5,...,7}
+		\node[coarse] at (\x,\y){ };
+
+\draw (9,3.5) node[cross out,draw=black,line width=0.5mm,rotate=45]{};
+
+\foreach \x in {0,...,8}
+	\foreach \y in {0,...,6}
+		\node[fine] at (11+0.5*\x,2+0.5*\y){ };
+
+\draw[->,line width=0.5mm] (17.5,3.5) -- (19.5,3.5);
+
+\foreach \x in {22,...,25}
+	\foreach \y in {0,...,7}
+		\node[coarse] at (\x,\y){ };
+\foreach \x in {26,...,29}
+	\foreach \y in {0,...,2}
+		\node[coarse] at (\x,\y){ };
+\foreach \x in {26,...,29}
+	\foreach \y in {5,...,7}
+		\node[coarse] at (\x,\y){ };
+
+\foreach \x in {0,...,8}
+	\foreach \y in {0,...,6}
+		\node[fine] at (25+0.5*\x,2+0.5*\y){ };
+\end{tikzpicture}
diff --git a/img/multi_grid.tikz b/img/multi_grid.tikz
index 28661c5..b58b609 100644
--- a/img/multi_grid.tikz
+++ b/img/multi_grid.tikz
@@ -11,15 +11,16 @@
 \draw (9,3.5) node[cross out,draw=black,line width=0.5mm,rotate=45]{};
 
 \foreach \x in {0,...,8}
-	\foreach \y in {0,...,8}
-		\node[fine] at (11+0.5*\x,1+0.5*\y){ };
+	\foreach \y in {0,...,6}
+		\node[fine] at (11+0.5*\x,2+0.5*\y){ };
 
-\draw[->,line width=0.5mm] (18,3.5) -- (20,3.5);
+\draw[->,line width=0.5mm] (17.5,3.5) -- (19.5,3.5);
 
-\foreach \x in {0,...,7}
+\foreach \x in {22,...,29}
 	\foreach \y in {0,...,7}
-		\node[coarse] at (22+\x,\y){ };
+		\node[coarse] at (\x,\y){ };
+
 \foreach \x in {0,...,8}
-	\foreach \y in {0,...,8}
-		\node[fine] at (24+0.5*\x,1+0.5*\y){ };
+	\foreach \y in {0,...,6}
+		\node[fine] at (25+0.5*\x,2+0.5*\y){ };
 \end{tikzpicture}
diff --git a/img/overlap_zone.tikz b/img/overlap_zone.tikz
index a491292..15b9fda 100644
--- a/img/overlap_zone.tikz
+++ b/img/overlap_zone.tikz
@@ -16,8 +16,8 @@
 \draw[dashed,thick] (1.8,-0.2) rectangle (2.2,2.2);
 \draw[dashed,thick] (2.8,-0.2) rectangle (3.2,2.2);
 
-\draw[arrow] (2,3.3) node[right] {Übertragung von grob nach fein} -- (2,2.3);
-\draw[arrow] (3,2.8) node[right] {Übertragung von fein nach grob} -- (3,2.3);
+\draw[arrow] (2,3.3) node[right] {Übertragung von grob nach fein, \(U_{g \to f}\)} -- (2,2.3);
+\draw[arrow] (3,2.8) node[right] {Übertragung von fein nach grob, \(U_{f \to g}\)} -- (3,2.3);
 
 \draw[decorate,decoration={brace,amplitude=10pt,mirror},line width=1pt]
 (1.8,-0.4) -- (3.2,-0.4) node[midway,below,yshift=-6pt] {Übergangsbereich};