Built-in Mathematica Symbol

TreeForm

TreeForm[expr]
displays expr as a tree with different levels at different depths.

TreeForm[expr, n]
displays expr as a tree only down to level n.

MORE INFORMATION

With a notebook front end, TreeForm displays as a graphical tree in StandardForm and TraditionalForm.

TreeForm takes the same options as TreePlot.

VertexLabeling->Automatic does not display expression fragments at each node, but still gives subtree expression as tooltips.

VertexLabeling->False does not give expression fragments or tooltips.

EXAMPLES

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Basic Examples (3)

A symbolic expression formatted as a tree:

Show the tree form for the first two levels in the expression:

A graphics expression formatted as a tree:

A symbolic expression formatted as a tree:

In[1]:=

Out[1]//TreeForm=

Show the tree form for the first two levels in the expression:

In[1]:=

Out[1]=

In[2]:=

Out[2]//TreeForm=

A graphics expression formatted as a tree:

In[1]:=

Out[1]//TreeForm=

Scope (9)

A formatted symbolic expression with mathematical constants:

A formatted expression with symbolic, exact and inexact values:

A nested list:

An expression containing subscripted variables:

A formatted expression with a special superscript and OverBar:

A graphic object:

A Series expression:

An expression containing Hold:

Limit the levels shown:

Options (14)

By default a suitable aspect ratio is calculated for good visual appearance:

Change the aspect ratio:

Show directed edges:

Draw edges using blue arrows set back by 30%:

Draw vertices only:

Draw a tree with the first level of height 1, the second level 2, etc.:

Use different PlotRangePadding around the drawing:

Specify an overall style for the drawing:

PlotStyle can be combined with VertexRenderingFunction, which has higher priority:

PlotStyle can be combined with EdgeRenderingFunction, which has higher priority:

Display subtree expressions as tooltips:

Show no vertices:

Render vertices using a predefined graphic:

Explicitly specify all vertex coordinates:

Properties & Relations (4)

FullForm gives a linear expression similar to TreeForm:

OutputForm of TreeForm gives a textual display of the expression:

Use TreePlot to plot a tree graph:

Use GraphPlot or GraphPlot3D for general undirected graphs:

Use LayeredGraphPlot for hierarchical-style drawing of directed graphs:

Possible Issues (1)

Compound heads are not laid out as trees:

Neat Examples (2)

A complete binary tree:

A complete ternary tree:

A symmetric tree:

An asymmetric tree: