diff --git a/presentation/diagrams/halfspaces.tex b/presentation/diagrams/halfspaces.tex
new file mode 100644
index 0000000..70d9c09
--- /dev/null
+++ b/presentation/diagrams/halfspaces.tex
@@ -0,0 +1,34 @@
+\begin{tikzpicture}
+    \draw[
+        fill,
+        kit-green100
+    ] (-2,0) -- (3,0) -- (-0.5,-6) -- (-2,-6) -- cycle;
+
+
+    \draw[
+        fill,
+        kit-red100
+    ] (-2, -3) -- (-2,-4) -- (2,-6) -- (4.3,-6) -- (4.3,-4) -- cycle;
+
+    \draw[
+        -to,
+        line width = 1.5pt,
+    ] (3,-1) -- (4.3,-1);
+
+    \draw[
+        fill,
+        kit-blue100
+    ]  (1.7,-2) circle (15pt);
+
+    \draw[
+        fill,
+        kit-blue100
+    ]  (0.4,-4.2) circle (15pt);
+
+    \node (fu) at (1.4,-1) {\LARGE $f_u$ $(+)$};
+
+    \node (fl) at (2.4,-3) {\LARGE $f_l$ $(-)$};
+
+    \node (nocontrin) at (2,-4.5) {\LARGE $f_u=f_l$};
+
+\end{tikzpicture}
\ No newline at end of file
diff --git a/presentation/prototyper.tex b/presentation/prototyper.tex
index d793dec..6abec74 100644
--- a/presentation/prototyper.tex
+++ b/presentation/prototyper.tex
@@ -14,6 +14,6 @@ arrows.meta}
 \begin{document}
 \begin{frame}
     \centering
-    \input{diagrams/edge_sampling.tex}
+    \input{diagrams/halfspaces.tex}
 \end{frame}
 \end{document}
\ No newline at end of file