From b14c64bda4efd8674f48d373eaeb41eb12e07c30 Mon Sep 17 00:00:00 2001
From: mathstoof <mathstoof@gmail.com>
Date: Sat, 29 Sep 2018 06:27:01 -0700
Subject: [PATCH] Update koch-snowflake.tex

---
 tikz/koch-snowflake/koch-snowflake.tex | 16 +++++++++++++++-
 1 file changed, 15 insertions(+), 1 deletion(-)

diff --git a/tikz/koch-snowflake/koch-snowflake.tex b/tikz/koch-snowflake/koch-snowflake.tex
index 9565ebd..4c86f1c 100644
--- a/tikz/koch-snowflake/koch-snowflake.tex
+++ b/tikz/koch-snowflake/koch-snowflake.tex
@@ -10,6 +10,20 @@
 % \draw[fill=gray!10] { { { decorate{ (0,0) -- (3,0) -- (1.5,-3) -- (0,0)}}}};
 % \draw[fill=gray!10] { { decorate{ decorate{ (0,0) -- (3,0) -- (1.5,-3) -- (0,0)}}}};
 % \draw[fill=gray!10] { decorate{ decorate{ decorate{ (0,0) -- (3,0) -- (1.5,-3) -- (0,0)}}}};
-\draw[fill=gray!10] decorate{ decorate{ decorate{ decorate{ (0,0) -- (3,0) -- (1.5,-3) -- (0,0)}}}};
+%\draw[fill=gray!10] decorate{ decorate{ decorate{ decorate{ (0,0) -- (3,0) -- (1.5,-3) -- (0,0)}}}};
+%(0,0) -- (3,0) -- (1.5,-3) -- (0,0) does not form an equilateral triangle, so the Koch curves along (3,0) -- (1.5,-3) and (1.5,-3) -- (0,0) are longer than they should be
+
+%using shifts and rotations makes an equilateral triangle easily without dealing explicitly with any irrational coordinates
+\draw decorate{ decorate{ decorate{ decorate{ (0,0) -- (1,0) }}}};
+\begin{scope}[shift={(1,0)}]
+\begin{scope}[rotate=-120]
+\draw decorate{ decorate{ decorate{ decorate{ (0,0) -- (1,0) }}}};
+\end{scope}
+\end{scope}
+\begin{scope}[shift={(-1,0)}]
+\begin{scope}[rotate around={120:(1,0)}]
+\draw decorate{ decorate{ decorate{ decorate{ (0,0) -- (1,0) }}}};
+\end{scope}
+\end{scope}
 \end{tikzpicture}
 \end{document}