Fully Automated Graph Layout
Mathematica 6 integrates fully automated graph layout, for the first time allowing visualization of arbitrary graphs to become part of routine computational work. Using original algorithms developed at Wolfram Research, Mathematica 6 automatically creates compelling and aesthetic graph layouts that usually far exceed what is achieved even by painstaking human effort—and can be scaled to multimillion-vertex graphs.
Directed and undirected graphs and multigraphs, with visible, tooltip, or other labeling.

Immediate visualization of symbolic structures as graphs.

Fully integrated with dynamic interactivity, allowing real-time interactive graphs.

Full range of existing and original algorithms supported for expert users.

Support for standard graph and matrix import/export formats.

Extensive built-in library of standard named graphs, each with over 100 properties.

Immediately Generate Easy-to-Understand Graphs	Add Labels to Graphs	3D Graph Layout
Automatically Arrange Multiple Components	Automatic Flowcharting	Create Social Network Graphics
Put Arbitrary Graphics at Each Vertex	Large-Scale Graph Layout	Lay Out Arbitrary Trees
Create Dynamic Sequences of Networks	Expression Trees	Rearrange Graphs Interactively

Real-Time 3D Graphics
Mathematica 6 for the first time brings full state-of-the-art, real-time 3D graphics directly into scrollable documents. Efficiently supporting graphics primitives such as spheres, cylinders and arbitrary polygonal meshes, as well as opacity and smooth shading, Mathematica 6 allows immediate real-time rotation and control, all integrated into Mathematica's standard graphics language, as well as new dynamic annotation features.

Real-time 3D graphics can be included anywhere in expressions, tables, lists or other graphics. >>

Immediate support for full 3D control using 2D and 3D mice and other human interface devices. »

Support for general light sources, surface specularity, geometrically correct transparency, etc. »

Seamless optimization with graphics hardware on all computer platforms.

Immediate integration with all standard 3D import and export formats. »

Automatic support for full-resolution printing.

Rotate or Zoom 3D Graphics Anywhere	Attach Arbitrary Tooltips to 3D Graphics	Full Support for Opacity
Arbitrary Camera Models	Arbitrary Lighting Models	Full Real-Time Lighting Models
Use Real-Time 3D Graphics as Input

Immediately Generate Easy-to-Understand Graphs	Add Labels to Graphs	3D Graph Layout
Automatically Arrange Multiple Components	Automatic Flowcharting	Create Social Network Graphics
Put Arbitrary Graphics at Each Vertex	Large-Scale Graph Layout	Lay Out Arbitrary Trees
Create Dynamic Sequences of Networks	Expression Trees	Rearrange Graphs Interactively

Automated Table Layout
Mathematica 6 introduces a powerful new symbolic language for specifying table layout allowing immediate creation of sophisticated information displays and user interface structures, fully integrated with the rest of the Mathematica system.
Table entries can contain arbitrary data, text, graphics and dynamic elements.

Direct editing of entries, with automatic table resizing.

General language for specifying backgrounds, dividers, spacings, etc.

Support for arbitrary spanning rows and columns.

Support for flowing text in fixed, scaled or resizable table entries.

Support for styling of arbitrary subtables.

Tables can appear directly inside flowing text, graphics and other tables.

Publication-quality output, with immediate printing, PDF export, etc.

Immediately Create a Styled Tabular Layout	Make a Grid of Graphics Images	Arbitrary Tabular User Interface Layout
Entries Automatically Resize to Fit	Annotate Tables of Any Kind	Spanning Rows and Columns
Automatically Allocate Space and Wrap Lines	Arbitrarily Nested Tables

Dynamic Interactivity
Mathematica 6 brings a revolution in the concept of interactive computing—for the first time allowing dynamic interfaces to be created instantly as a routine part of everyday work. Based on a series of inventions at Wolfram Research, Mathematica 6 builds on Mathematica's powerful core symbolic architecture to allow sophisticated interactive interfaces to be created from single lines of input—as easily as getting answers to simple calculations.
Manipulate function for creating full-function dynamic interfaces for arbitrary objects. »

Uniform support for manipulating 2D and 3D graphics, math, tables, text, etc.

Immediate creation of active 1D and 2D sliders, menus, checkboxes, buttons, etc. »

Full integration of controls with graphics objects.

Real-time computation based on parameter values defined by interactive controls.

Full integration of all interfaces into scrollable Mathematica notebook documents.

Automatic support for gamepads and other human interface devices. »

Fully scalable underlying symbolic dynamic Mathematica language system. »

Threaded support for dynamic dependency tracking and updating. »

Immediately Make Any Computation Dynamic	Manipulate Parameters in 3D Graphics	Use Any Number of Controls
Make Any Type of Graphics Dynamic	Use All Standard Forms of Controls	Quickly Create Easy-to-Understand Interfaces
Immediately Visualize Classic Phenomena	Immediately Create Complex Dynamic Graphics	Manipulate Text or Algebra
Create Dynamic Tables	Dynamically Move Points in Graphics	Quickly Create a Sophisticated Interface
Get New Forms of Mechanical Intuition	Interactively Explore New Frontiers	Create Compelling Educational Content
Immediately Interact with Real-World Data	Find Sample Code in The Wolfram Demonstrations Project