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5:00 AM
Some examples requested by Andrew Stacey with regards to the hobby package:
\begin{tikzpicture}[use Hobby shortcut]
\draw[help lines] (-5,-5) grid (5,5);
\draw (-5,0) -- (5,0) (0,-5) -- (0,5);
\draw[thick] ([tangent=150]-5,2) .. ([tangent=0]-3,3) .. (-1,1) .. (0,-1.3) .. %
([tangent=0]1,-2) .. ([tangent=45]2,-1.5) .. ([tangent=0]3,-2) .. ([tangent=-45]5,-4);

\tikzset{every path/.append style={yshift=-11cm}}
\draw[help lines] (-5,-5) grid (5,5);
\draw (-5,0) -- (5,0) (0,-5) -- (0,5);
\draw[thick] (-5,2) .. ([tangent=0]-3,3) .. (-1,1) .. (0,-1.3) .. %
([tangent=0]1,-2) .. ([tangent=45]2,-1.5) .. ([tangent=0]3,-2) .. (5,-4);
 
man, with pdflatex+microtype+1 in. margins+12pt text I'm 3 pages into a paper without a single hyphen
 
 
4 hours later…
9:05 AM
@CharlesStaata Thanks. Can you upload the output as well?
 
 
9 hours later…
5:48 PM
@AndrewStacey: Done. The first image shows tangent at the final point behaving as it should, but tangent at the initial point being overridden by tangent at the second point. The second image shows undesired tangent options being imposed at both the initial and final points. The third shows things behaving nicely when there are no tangent options specified for either the first two or the last two points.
 
@CharlesStaats Thanks, that's extremely useful.
 

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