# Ghost shape in TikZ/pgf

My question

I can easily draw the normal distribution thanks to this answer by Jake. What about the ghost ?

Context

This image always breaks the ice when teaching probabilities :)

(Not that I care so much about it, but Halloween is getting closer too)

I presume it would be possible with Inkscape (but I am not familiar with it).

This answer by Paul Gaborit uses the hobby package I tried to adapt (poorly as you'll see, far too manual to be honnest) in my MWE.

I'd be happy to see different approaches too (pure tikz, pgfplot, other libraries...).

\documentclass[tikz]{standalone}
\usetikzlibrary{hobby}
\usetikzlibrary{calc}
\begin{document}
\begin{tikzpicture}[use Hobby shortcut]

\draw[
help lines,
line width=0.1pt,
blue,
] (-20, -20) grid[step={($(5, 5) - (0, 0)$)}] (60, 100);

\path
(0,0) coordinate (z0)
(10,10) coordinate (z1)
(20,0) coordinate (z2)
(30,10) coordinate (z3)
(40,0) coordinate (z4)
(50,10) coordinate (z5)
(30,90) coordinate (z6)
(0,70) coordinate (z7)
(0,60) coordinate (z8)
;
\draw[closed,black, line width= 3mm] (z0) .. (z1) .. (z2)  .. (z3) .. (z4) .. (z5).. (z6).. (z7).. (z8);
\end{tikzpicture}
\end{document}


• Seeing that it's been 11 hours and no one else has nitpicked yet, I just had to remark that putting the two images side by side, could be seen as implying that the "Paranormal distribution" is also expected to be a 2d plot of a single variable probability density function, but of course it's not a function, with multiple y values for the same x. Therefore, to avoid any such confusion, I would recommend that we instead treat the "Paranormal Distribution" as a joint (bivariate) density function, which then has the added benefit of giving you a good reason to include colors ;) Commented Oct 8, 2021 at 10:08
• @yoniLavi a pgf answer that looks promising!
– JeT
Commented Oct 8, 2021 at 10:26
• @yoniLavi Geogebra gives an idea on how to a a achieve an answer with pgfplot.
– JeT
Commented Oct 9, 2021 at 10:15

This is my attempt, using TikZ and a lot of to[out=...,in=...]s.

\documentclass[border=2mm,tikz]{standalone}

\begin{document}
\begin{tikzpicture}[thick,line cap=round]
% grid
%\draw[gray] (-5,0) grid[step=0.5] (5,13);
% ghost 'body'
\draw[line width=0.75mm] (0,1.5) to[out=0,in=180] (1.5,0)
to[out=0  ,in=180] (3,2) to[out=0,in=135] (4,1.5)
to[out=-45,in=-45,looseness=2] (4.5,2)
to[out=135,in=270] (3,8)
to[out=90 ,in=90 ,looseness=2.5] (-3,8)
to[out=270,in=45] (-4.5,2)
to[out=225,in=225,looseness=2] (-4,1.5)
to[out=45 ,in=180] (-3,2)
to[out=0  ,in=180] (-1.5,0)
to[out=0  ,in=180] (0,1.5);
% ghost eyes
\foreach\i in {-1,1}
{%
\begin{scope}[shift={(\i-0.3,8.5)},rotate=\i*10]
\fill ellipse (0.3 cm and 0.6 cm);
\end{scope}}
% axis
\draw (-5.5,-1) -- (5.5,-1);
\foreach\i in {-5,...,5}
\draw (\i,-1) --++ (0,-0.2);
\node at (0,-2) {\huge\bfseries Paranormal Distribution};
\end{tikzpicture}
\end{document}


And the ghost:

Edit. An animated ghost:

\documentclass    {beamer}
\usepackage       {tikz}

\begin{document}
\begin{frame}
\begin{figure}\centering
\begin{tikzpicture}[thick,line cap=round,scale=0.5]
\useasboundingbox (-8,0) rectangle (8,14);
% fake normal distribution
\foreach\j in {1,...,5}
{%
\pgfmathtruncatemacro\jj{20-\j}
\only<\j,\jj>
{%
\pgfmathsetmacro\y{0.2*(10-\j)}
\draw plot[domain=-8:8,samples=81,smooth] (\x*\y,{13/(1+0.07*\x*\x)});
}
}
% ghost
\foreach\j in {6,...,14}
{%
\only<\j>
{%
\pgfmathsetmacro\y{0.05*abs(10-\j)}
% ghost 'body'
\coordinate (A) at (0,1.5+\y);
\coordinate (B) at (1.5,0);
\coordinate (C) at (3,2+\y);
\coordinate (D) at (4,1.5);
\coordinate (E) at (4.5,2);
\coordinate (F) at (-4.5,2);
\coordinate (G) at (-4,1.5);
\coordinate (H) at (-3,2+\y);
\coordinate (I) at (-1.5,0);
\draw[line width=0.5mm] (A) to[out=0,in=180] (B)
to[out=0  ,in=180] (C) to[out=0,in=135] (D)
to[out=-45,in=-45,looseness=2] (E)
to[out=135,in=270] (3,8)
to[out=90 ,in=90,looseness=2.5] (-3,8)
to[out=270,in=45] (F)
to[out=225,in=225,looseness=2] (G)
to[out=45 ,in=180] (H)
to[out=0  ,in=180] (I)
to[out=0  ,in=180] (A);
% ghost eyes
\foreach\i in {-1,1}
{%
\begin{scope}[shift={(\i-3*\y,8.5)},rotate=\i*10]
\fill ellipse (0.3cm and 0.6cm);
\end{scope}
}
}
}
% axis
\draw (-8.5,-1) -- (8.5,-1);
\foreach\i in {-8,...,8}
\draw (\i,-1) --++ (0,-0.2);
\node at (0,-2) {\huge\bfseries\strut
\only<8-12>{p}%
\only<7-13>{a}%
\only<6-14>{r}%
\only<5-15>{a}%
normal distribution\strut};
\end{tikzpicture}
\end{figure}
\end{frame}
\end{document}


• Nice !!!! really...
– JeT
Commented Oct 8, 2021 at 9:31
• This is exceptional work!! +1 Commented Oct 8, 2021 at 10:27
• How does the ghost look sad without even a mouth (or is it just me)? Also we need a ghost for TikZpeople Commented Oct 8, 2021 at 15:55
• 👍👍 for your edit :)
– JeT
Commented Oct 8, 2021 at 20:12
• @ChrisH It is sad on the question as well lol. Commented Oct 10, 2021 at 13:36

You could use the ghost from halloweenmath

\documentclass{article}
\usepackage{halloweenmath,graphicx}
\begin{document}
\resizebox{4cm}{!}{$\mathghost$}

\end{document}


• Thanks! Funny font indeed. I'd be happy to see how TikZ can actually handle this ghosty shape :) As an exercice I could work on.
– JeT
Commented Oct 7, 2021 at 22:24
• do you know how to compile the same ghost but without the eyes? Commented Oct 12, 2023 at 8:56
• @ÁlvaroA.Gutiérrez-Vargas there is no interface, but you can do \makeatletter \resizebox{4cm}{!}{\def\@HwM@symm@ghost@eyes#1#2#3{}$\mathghost$} \makeatother Commented Oct 12, 2023 at 10:04

A quick suggestion with pure tikz:

\documentclass[border=6.66mm]{standalone}
\usepackage{tikz}

\begin{document}

\begin{tikzpicture}[smooth cycle]

\draw[] plot[tension=1]
coordinates{(0,0)  (1,1) (2,0) (3,1) (4,0) (4,4) (3,9) (0,2) (0,1)};

%eyes
\draw[fill=black,rotate around={-45:(2.3,7)}] (2.3,7) ellipse (2mm and 3.5mm);
\draw[fill=black,rotate around={-45:(3.3,7)}] (3.3,7) ellipse (2mm and 3.5mm);

%mouth [optional]
\draw[fill=black,rotate around={-10:(3,5)}] (3,5) arc (0:-180:0.5cm and 3mm);

\end{tikzpicture}

\end{document}


With four parameters I can fit an elephant, and with five I can make him wiggle his trunk. John von Neumann

The trick with hobby is to start with a few points on the shape and then add more points where the curve deviates from the one wanted. The more points, the more specific the curve. With the ghost, the wiggly bottom edge clearly needs several points, and then there needs to be another on each side just above the bottom edge to get the sides under control, but the rest of the sides doesn't need any more points.

I used Drawing on an image with TikZ to define a coordinate system overlaying the original image to place the points. I've left this code in the document below (commented out). This does mean that the coordinates are specified on a small scale (since the coordinate system goes from (0,0) to (1,1)) but a suitable scale=20 fixes that.

\documentclass{article}
%\url{https://tex.stackexchange.com/q/618136/86}
\usepackage{tikz}
\usetikzlibrary{hobby}

\begin{document}

\begin{tikzpicture}[use Hobby shortcut]
%\node[anchor=south west,inner sep=0pt] at (0,0) (ghost) {\includegraphics{ghost.png}};
%\begin{scope}[x={(ghost.south east)},y={(ghost.north west)}]
%\draw[blue,ultra thin] (.3,.1) grid[step=.01] (.7,.6);
%\draw[blue,ultra thick] (0,0) grid[step=.1] (1,1);
\begin{scope}[scale=20]
\draw[ultra thick]
([closed].5,.52) ..
(.6,.28) ..
(.625,.22) ..
(.6,.21) ..
(.58,.22) ..
(.55,.17) ..
(.5,.21) ..
(.45,.17) ..
(.43,.21) ..
(.39,.195) ..
(.4,.26)
;

\end{scope}
\end{tikzpicture}
\end{document}


To make the top a little more curved, add points at (.53,.51) and (.47,.51) either side of the point at (.5,.52).

• Nice nice....very nice...ghost....LOL :-) Commented Oct 8, 2021 at 21:08
• @Andrew Impressive. Very clear explations. The TikZ over an image solves my poor attempt. I steal your VN quote :)
– JeT
Commented Oct 8, 2021 at 21:12

A crazy ghost from the hell of the package twemojis.

\documentclass[12pt]{article}
\usepackage{twemojis,scalerel}
\begin{document}
\scaleobj{15}{\twemoji{ghost}}
\end{document}


• +1 I like yours too!!! XD Commented Oct 8, 2021 at 12:35
• @JuanCastaño Your ghost is simply excellent. LOL :-))))) Commented Oct 8, 2021 at 12:36
• @Sebastiano Merci ! I think your addenda deserves a separate answer :)
– JeT
Commented Oct 8, 2021 at 15:37
• @JeT I provide now :-)...you're very welcome. Commented Oct 8, 2021 at 15:38

Other ghost symbols from fontawesome5 and another done with TikZ.

\documentclass[a4paper,12pt]{article}
\usepackage{anyfontsize}
\usepackage{fontawesome5}
\usepackage[svgnames]{xcolor}

\begin{document}
\textcolor{GhostWhite}{\fontsize{70}{60}\selectfont \faGhost}
\end{document}


\documentclass[a4paper,12pt]{article}
\usepackage{tikz}
\usepackage{xcolor}

\newcommand{\ghost}[1]{\tikz[baseline=.2em,scale=8]{
\draw [fill=#1] (0,0) -- (0,.5) arc (+180:0:.3) -- (.6,0) --
(.5,.15) -- (.4,0) -- (.3,.15) -- (.2,0) -- (.1,.15) -- cycle;
\coordinate (visual) at (360*rand:.03);
\foreach \x in {.15,.4}{
\fill[black] (\x,.5) ++(visual) circle[radius=.07];
}}}

\begin{document}
\ghost{white}
\end{document}


• That second one is just begging for a pac-man. Commented Oct 9, 2021 at 5:01
• @Hearth Hi.....yes you're right...I have thought to the Pac-Man game :-))))) See this link: en.wikipedia.org/wiki/Ghosts_(Pac-Man) Commented Oct 9, 2021 at 19:23

My (very) improvable attempt with pgfplot.

Thanks to all the great previous answers and Geogebra, It helped me having a more precise idea.

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{shapes}
\pgfplotsset{compat=1.17}

\begin{document}
\begin{tikzpicture}[
countour/.style={line width=1.5pt,domain=-2.5:2.95},
eyes/.style={scale=0.6,ellipse,fill=black,minimum height=10pt,,rotate=90},
declare function={
wave(\x) = 0.05 * sin(260*\x) -0.03 ;
Gauss(\x) = 1/(sqrt(2*pi))*exp(-0.5*(pow(\x,2)));
}
]
\begin{axis}[samples = 100]
\node[eyes]  at (axis cs:-0.4, 0.23) {aa} ;
\node[eyes]  at (axis cs:0.4, 0.23) {aa} ;
\end{axis}
\end{tikzpicture}
\end{document}


• Very very nice :-)))) Commented Oct 10, 2021 at 19:40

Another suggestion is to convert your ghost in .svg and export in LaTeX making some changes: https://products.aspose.app/pdf/it/conversion/svg-to-tex. Here I have improved a bit the (very long) original code:

\documentclass[12pt]{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[overlay]
\path (0,0);
\filldraw[black][nonzero rule]
(176.7pt, -0.499985pt) .. controls (186.5pt, -5.399994pt) and (194.8pt, -17.09999pt) .. (198.3pt, -30.99998pt)
-- (198.3pt, -30.99998pt)
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;
\filldraw[black][nonzero rule]
(149.4pt, -35.49998pt) .. controls (147pt, -39.2pt) and (146pt, -45.89999pt) .. (147.1pt, -50.29999pt)
-- (147.1pt, -50.29999pt)
-- (147.1pt, -50.29999pt)
-- (147.1pt, -50.29999pt) .. controls (149.1pt, -57.89999pt) and (153.9pt, -55.5pt) .. (156.1pt, -45.59999pt)
-- (156.1pt, -45.59999pt)
-- (156.1pt, -45.59999pt)
-- (156.1pt, -45.59999pt) .. controls (158.2pt, -35.89999pt) and (153.7pt, -28.99998pt) .. (149.4pt, -35.49998pt) -- cycle
;
\filldraw[black][nonzero rule]
(172.6pt, -35.2pt) .. controls (169.3pt, -39.79999pt) and (171.6pt, -53.89999pt) .. (175.8pt, -55.5pt)
-- (175.8pt, -55.5pt)
-- (175.8pt, -55.5pt)
-- (175.8pt, -55.5pt) .. controls (180.1pt, -57.09999pt) and (182.4pt, -47.09999pt) .. (179.5pt, -39.49998pt)
-- (179.5pt, -39.49998pt)
-- (179.5pt, -39.49998pt)
-- (179.5pt, -39.49998pt) .. controls (177.3pt, -33.7pt) and (174.7pt, -32.09999pt) .. (172.6pt, -35.2pt) -- cycle
;
\draw    (15,233) -- (323,233) (46,229) -- (46,237)(77,229) -- (77,237)(108,229) -- (108,237)(139,229) -- (139,237)(170,229) -- (170,237)(201,229) -- (201,237)(232,229) -- (232,237)(263,229) -- (263,237)(294,229) -- (294,237) ;
\end{tikzpicture}
\end{document}