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Draw Overlapping Circles Tikz Latex

Written By Thornton Stowly Thursday, April 7, 2022 Add Comment Edit

TikZ/PGF is a flexible and powerful bundle for creating graphics in LaTeX. It's syntax tin can exist somewhat overwhelming at the first. In this postal service I prove the basics of tree drawing using TikZ and LuaLaTeX.


The following code but works with LuaLaTeX. Brand sure you utilize the lualatex engine rather than standard tex/latex for typesetting.


Setup

Starting time, nosotros load TikZ and it'south graphdrawing.copse library in the document preamble:

\usepackage{tikz} \usetikzlibrary{graphdrawing.copse}


In the document body, we prepare the figure surroundings. Here, we set nodes to be circles and edges to be directed vertices using the default pointer head.

\begin{tikzpicture}[nodes={draw, circumvolve}, ->]  	% Tree construction  \cease{tikzpicture}


With that, we are ready to start drawing trees.


Tree drawing syntax

We start with a root node r which has two children, node a and node b.

\node{r} 	child { node {a} } 	kid { node {b} };

simple-tree-latex

The library implements an algorithm which handles the distribution of children under each parent node. Therefore, nosotros don't have to worry virtually the placement of nodes in the tree.

Next, we might want to add extra levels, for example by adding three children under the child node a.

This is not really complicated, we just take to make sure that we place children of node a inside the child node.

\node{r} 	child { node {a}  		child { node {c} } 		child { node {d} } 		child { node {e} } 	} 	child { node {b} };

level-2-tree-latex

Obviously, there is not enough infinite to add another three children to node b. As a consequence, kid nodes would overlap. However, this can be fixed by calculation actress missing nodes and therefore increment the angle between child nodes. I will show how to do that in a moment.


Missing nodes

Missing nodes do just what they say, they add space for missing nodes. In the example below, node b from the previous example was replaced by a missing node. Therefore, node a is slightly shifted towards the left, leaving space for the 'missing' child node.

\node{r} 	child { node {a}  		child { node {c} } 		child { node {d} }	 	} 	child [ missing ];

missing-node-tree-latex


Using the concept of missing nodes, we can now add together extra children to node b, whereby we omit overlap with children of node a.

\node{r} 	child { node {a}  		child { node {c} } 		kid { node {d} } 		child { node {e} } 	} 	kid [missing] 	child [missing] 	child {node {b}  		child { node {c} } 		child { node {d} } 		child { node {eastward} } 	};

missing-nodes-whitespace-tree-latex


Directed and undirected edges

TikZ supports different types of edges. For trees, the following are frequently used types of edges:

-> % Directed edge <- % Contrary directed edge -- % Undirected border <-> % Bi-directed edge


We previously saw how to globally prepare the direction of edges. We tin locally change the direction of a specific vertex using the edge keyword. In the example below, we change edge a to a bi-directed edge.

\begin{tikzpicture}[nodes={draw, circle}, ->] \node{r} 	kid {  		node {a}  		edge from parent [<->] 	} 	child { node {b} }; \cease{tikzpicture}

multiple-edge-types-tree-latex


Node size and line thickness

The size of a node changes, depending on its content/text. The minimum size imposes a minimal size on each node. By adjusting the value depending on the longest text/largest node size, we tin ensure that all nodes accept roughly the aforementioned size.

\begin{tikzpicture}[nodes={draw, circle}, minimum size=1cm]


Nosotros can further arrange the line thickness using the keywords thick or very thick.

\begin{tikzpicture}[nodes={describe, circle}, thick]


In the example below, I increased the line thickness to thick and changed nodes to a minimum size of 0.7cm. Equally you can encounter, all nodes are of the same size now. Whereas earlier, node b was slightly bigger due to the size of the character.

thick-line-node-size-tree-latex


Further options

Below are a few more options that might be useful to improve the advent of the tree.

Irresolute the level distance (parent to child):

\begin{tikzpicture}[nodes={draw,circle}, level distance=2cm]


Changing the sibling distance (child to kid):

\begin{tikzpicture}[nodes={draw,circle}, sibling altitude=1cm]


Using rectangular rather than circular nodes:

\brainstorm{tikzpicture}[nodes={depict,rectangle}]


Colored nodes:

\begin{tikzpicture}[nodes={draw,circle,fill up=bluish!20}]

color-nodes-tree-latex


Tree layout and graph syntax

The TikZ tree layout and graph syntax make tree building fifty-fifty easier. Instead of kid and node keywords, curly brackets are used to point dependencies (edges). Siblings are separated past a comma and missing nodes are created by an empty node.

Here is the example from above in graph syntax:

\documentclass{commodity} \usepackage{tikz} \usetikzlibrary{graphs} \usetikzlibrary{graphdrawing} \usegdlibrary{copse}  \begin{document}  \tikz[tree layout]\graph[nodes={draw, circle}] { r ->  	{ a ->  		{ c, d }, 	% b missing 	} }; \cease{certificate}

graph-syntax-tree-latex


Using graph syntax, nosotros can change the direction of the tree. For case grow=0 lets the tree abound to the right rather than downwards.

\tikz[tree layout, grow=0]\graph[nodes={draw, circle}] { r ->  	{ a ->  		{ c, d }, 	% b missing 	} }; \terminate{document}

graph-syntax-grow-horizontal-tree-latex


For more details, please consider reading the documentation (folio 405+) or drop me a annotate beneath.

dinardocasere1951.blogspot.com

Source: https://texblog.org/2015/09/16/drawing-trees-with-tikzpgf-and-lualatex/

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