Products
  • Wolfram|One

    The definitive Wolfram Language and notebook experience

  • Mathematica

    The original technical computing environment

  • Notebook Assistant + LLM Kit

    All-in-one AI assistance for your Wolfram experience

  • Compute Services
  • System Modeler
  • Finance Platform
  • Wolfram|Alpha Notebook Edition
  • Application Server
  • Enterprise Private Cloud
  • Wolfram Engine
  • Wolfram Player
  • Wolfram Cloud App
  • Wolfram Player App

More mobile apps

Core Technologies of Wolfram Products

  • Wolfram Language
  • Computable Data
  • Wolfram Notebooks
  • AI & Linguistic Understanding

Deployment Options

  • Wolfram Cloud
  • wolframscript
  • Wolfram Engine Community Edition
  • Wolfram LLM API
  • WSTPServer
  • Wolfram|Alpha APIs

From the Community

  • Function Repository
  • Community Paclet Repository
  • Example Repository
  • Neural Net Repository
  • Prompt Repository
  • Wolfram Demonstrations
  • Data Repository
  • Group & Organizational Licensing
  • All Products
Consulting & Solutions

We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

  • Data & Computational Intelligence
  • Model-Based Design
  • Algorithm Development
  • Wolfram|Alpha for Business
  • Blockchain Technology
  • Education Technology
  • Quantum Computation

Wolfram Consulting

Wolfram Solutions

  • Data Science
  • Artificial Intelligence
  • Biosciences
  • Healthcare Intelligence
  • Sustainable Energy
  • Control Systems
  • Enterprise Wolfram|Alpha
  • Blockchain Labs

More Wolfram Solutions

Wolfram Solutions For Education

  • Research Universities
  • Colleges & Teaching Universities
  • Junior & Community Colleges
  • High Schools
  • Educational Technology
  • Computer-Based Math

More Solutions for Education

  • Contact Us
Learning & Support

Get Started

  • Wolfram Language Introduction
  • Fast Intro for Programmers
  • Fast Intro for Math Students
  • Wolfram Language Documentation

More Learning

  • Highlighted Core Areas
  • Demonstrations
  • YouTube
  • Daily Study Groups
  • Wolfram Schools and Programs
  • Books

Grow Your Skills

  • Wolfram U

    Courses in computing, science, life and more

  • Community

    Learn, solve problems and share ideas.

  • Blog

    News, views and insights from Wolfram

  • Resources for

    Software Developers

Tech Support

  • Contact Us
  • Support FAQs
  • Support FAQs
  • Contact Us
Company
  • About Wolfram
  • Career Center
  • All Sites & Resources
  • Connect & Follow
  • Contact Us

Work with Us

  • Student Ambassador Initiative
  • Wolfram for Startups
  • Student Opportunities
  • Jobs Using Wolfram Language

Educational Programs for Adults

  • Summer School
  • Winter School

Educational Programs for Youth

  • Middle School Camp
  • High School Research Program
  • Computational Adventures

Read

  • Stephen Wolfram's Writings
  • Wolfram Blog
  • Wolfram Tech | Books
  • Wolfram Media
  • Complex Systems

Educational Resources

  • Wolfram MathWorld
  • Wolfram in STEM/STEAM
  • Wolfram Challenges
  • Wolfram Problem Generator

Wolfram Initiatives

  • Wolfram Science
  • Wolfram Foundation
  • History of Mathematics Project

Events

  • Stephen Wolfram Livestreams
  • Online & In-Person Events
  • Contact Us
  • Connect & Follow
Wolfram|Alpha
  • Your Account
  • User Portal
  • Wolfram Cloud
  • Products
    • Wolfram|One
    • Mathematica
    • Notebook Assistant + LLM Kit
    • Compute Services
    • System Modeler
    • Finance Platform
    • Wolfram|Alpha Notebook Edition
    • Application Server
    • Enterprise Private Cloud
    • Wolfram Engine
    • Wolfram Player
    • Wolfram Cloud App
    • Wolfram Player App

    More mobile apps

    • Core Technologies
      • Wolfram Language
      • Computable Data
      • Wolfram Notebooks
      • AI & Linguistic Understanding
    • Deployment Options
      • Wolfram Cloud
      • wolframscript
      • Wolfram Engine Community Edition
      • Wolfram LLM API
      • WSTPServer
      • Wolfram|Alpha APIs
    • From the Community
      • Function Repository
      • Community Paclet Repository
      • Example Repository
      • Neural Net Repository
      • Prompt Repository
      • Wolfram Demonstrations
      • Data Repository
    • Group & Organizational Licensing
    • All Products
  • Consulting & Solutions

    We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

    WolframConsulting.com

    Wolfram Solutions

    • Data Science
    • Artificial Intelligence
    • Biosciences
    • Healthcare Intelligence
    • Sustainable Energy
    • Control Systems
    • Enterprise Wolfram|Alpha
    • Blockchain Labs

    More Wolfram Solutions

    Wolfram Solutions For Education

    • Research Universities
    • Colleges & Teaching Universities
    • Junior & Community Colleges
    • High Schools
    • Educational Technology
    • Computer-Based Math

    More Solutions for Education

    • Contact Us
  • Learning & Support

    Get Started

    • Wolfram Language Introduction
    • Fast Intro for Programmers
    • Fast Intro for Math Students
    • Wolfram Language Documentation

    Grow Your Skills

    • Wolfram U

      Courses in computing, science, life and more

    • Community

      Learn, solve problems and share ideas.

    • Blog

      News, views and insights from Wolfram

    • Resources for

      Software Developers
    • Tech Support
      • Contact Us
      • Support FAQs
    • More Learning
      • Highlighted Core Areas
      • Demonstrations
      • YouTube
      • Daily Study Groups
      • Wolfram Schools and Programs
      • Books
    • Support FAQs
    • Contact Us
  • Company
    • About Wolfram
    • Career Center
    • All Sites & Resources
    • Connect & Follow
    • Contact Us

    Work with Us

    • Student Ambassador Initiative
    • Wolfram for Startups
    • Student Opportunities
    • Jobs Using Wolfram Language

    Educational Programs for Adults

    • Summer School
    • Winter School

    Educational Programs for Youth

    • Middle School Camp
    • High School Research Program
    • Computational Adventures

    Read

    • Stephen Wolfram's Writings
    • Wolfram Blog
    • Wolfram Tech | Books
    • Wolfram Media
    • Complex Systems
    • Educational Resources
      • Wolfram MathWorld
      • Wolfram in STEM/STEAM
      • Wolfram Challenges
      • Wolfram Problem Generator
    • Wolfram Initiatives
      • Wolfram Science
      • Wolfram Foundation
      • History of Mathematics Project
    • Events
      • Stephen Wolfram Livestreams
      • Online & In-Person Events
    • Contact Us
    • Connect & Follow
  • Wolfram|Alpha
  • Wolfram Cloud
  • Your Account
  • User Portal
Wolfram Language & System Documentation Center
Low-Level Notebook Structure
  • Functions
    • AdjustmentBox
    • AutoDelete
    • BoxData
    • Cell
    • CellGroupData
    • CopyFunction
    • DisplayFunction
    • ErrorBox
    • FormBox
    • FractionBox
    • FrameBox
    • GridBox
    • InterpretationBox
    • InterpretationFunction
    • LabeledGraphicsBox
    • Notebook
    • OverscriptBox
    • RadicalBox
    • RawData
    • RowBox
    • SqrtBox
    • StripWrapperBoxes
    • StyleBox
    • StyleData
    • SubscriptBox
    • SubsuperscriptBox
    • SuperscriptBox
    • SyntaxForm
    • TagBox
    • TemplateBox
    • TextData
    • UnderoverscriptBox
    • UnderscriptBox
  • Related Guides
    • Low-Level Notebook Programming
    • Mathematical Typesetting
    • Converting between Expressions & Strings
  • Tech Notes
    • Input Syntax
    • Representing Textual Forms by Boxes
    • String Representation of Boxes
    • Functions
      • AdjustmentBox
      • AutoDelete
      • BoxData
      • Cell
      • CellGroupData
      • CopyFunction
      • DisplayFunction
      • ErrorBox
      • FormBox
      • FractionBox
      • FrameBox
      • GridBox
      • InterpretationBox
      • InterpretationFunction
      • LabeledGraphicsBox
      • Notebook
      • OverscriptBox
      • RadicalBox
      • RawData
      • RowBox
      • SqrtBox
      • StripWrapperBoxes
      • StyleBox
      • StyleData
      • SubscriptBox
      • SubsuperscriptBox
      • SuperscriptBox
      • SyntaxForm
      • TagBox
      • TemplateBox
      • TextData
      • UnderoverscriptBox
      • UnderscriptBox
    • Related Guides
      • Low-Level Notebook Programming
      • Mathematical Typesetting
      • Converting between Expressions & Strings
    • Tech Notes
      • Input Syntax
      • Representing Textual Forms by Boxes
      • String Representation of Boxes
GUIDE
  • Functions
    • AdjustmentBox
    • AutoDelete
    • BoxData
    • Cell
    • CellGroupData
    • CopyFunction
    • DisplayFunction
    • ErrorBox
    • FormBox
    • FractionBox
    • FrameBox
    • GridBox
    • InterpretationBox
    • InterpretationFunction
    • LabeledGraphicsBox
    • Notebook
    • OverscriptBox
    • RadicalBox
    • RawData
    • RowBox
    • SqrtBox
    • StripWrapperBoxes
    • StyleBox
    • StyleData
    • SubscriptBox
    • SubsuperscriptBox
    • SuperscriptBox
    • SyntaxForm
    • TagBox
    • TemplateBox
    • TextData
    • UnderoverscriptBox
    • UnderscriptBox
  • Related Guides
    • Low-Level Notebook Programming
    • Mathematical Typesetting
    • Converting between Expressions & Strings
  • Tech Notes
    • Input Syntax
    • Representing Textual Forms by Boxes
    • String Representation of Boxes
    • Functions
      • AdjustmentBox
      • AutoDelete
      • BoxData
      • Cell
      • CellGroupData
      • CopyFunction
      • DisplayFunction
      • ErrorBox
      • FormBox
      • FractionBox
      • FrameBox
      • GridBox
      • InterpretationBox
      • InterpretationFunction
      • LabeledGraphicsBox
      • Notebook
      • OverscriptBox
      • RadicalBox
      • RawData
      • RowBox
      • SqrtBox
      • StripWrapperBoxes
      • StyleBox
      • StyleData
      • SubscriptBox
      • SubsuperscriptBox
      • SuperscriptBox
      • SyntaxForm
      • TagBox
      • TemplateBox
      • TextData
      • UnderoverscriptBox
      • UnderscriptBox
    • Related Guides
      • Low-Level Notebook Programming
      • Mathematical Typesetting
      • Converting between Expressions & Strings
    • Tech Notes
      • Input Syntax
      • Representing Textual Forms by Boxes
      • String Representation of Boxes

Low-Level Notebook Structure

Like everything else in the Wolfram Language, notebooks are ultimately symbolic expressions. When you edit notebooks—or apply high-level programmatic functions—the Wolfram Language automatically updates these expressions. But if you look at the lowest level—say by opening a notebook file as text—you will see the underlying expressions, in which formatting constructs are represented as a hierarchy of low-level symbolic "boxes".

— toggle between formatted display and underlying symbolic expression

Notebook — low-level symbolic representation for a notebook

Cell — low-level representation for a cell in a notebook

CellGroupData — low-level representation for a cell group in a notebook

BoxData — low-level representation of the contents of a typesetting cell

TextData  ▪  RawData  ▪  StyleData

RowBox — low-level representation for a row of arbitrary elements

GridBox — low-level representation of an arbitrary 2D layout

SuperscriptBox  ▪  SubscriptBox  ▪  SubsuperscriptBox

OverscriptBox  ▪  UnderscriptBox  ▪  UnderoverscriptBox

FractionBox  ▪  SqrtBox  ▪  RadicalBox

StyleBox — low-level wrapper specifying styles and style options to apply

FrameBox  ▪  AdjustmentBox  ▪  LabeledGraphicsBox

InterpretationBox — representation of arbitrary boxes with a specific interpretation

TagBox — representation of boxes with a tag expression to provide interpretation hints

TemplateBox — representation of parameters substituted into specific display and interpretation functions

FormBox — representation of boxes to be displayed and interpreted as a given form

ErrorBox — representation of uninterpretable box contents

DisplayFunction  ▪  InterpretationFunction  ▪  CopyFunction  ▪  AutoDelete  ▪  DeletionWarning  ▪  StripWrapperBoxes  ▪  SyntaxForm

Related Tech Notes

    ▪
  • Input Syntax
  • ▪
  • Representing Textual Forms by Boxes
  • ▪
  • String Representation of Boxes

Related Guides

    ▪
  • Low-Level Notebook Programming
  • ▪
  • Mathematical Typesetting
  • ▪
  • Converting between Expressions & Strings
Top
Introduction for Programmers
Introductory Book
Wolfram Function Repository | Wolfram Data Repository | Wolfram Data Drop | Wolfram Language Products
Top
  • Products
  • Wolfram|One
  • Mathematica
  • Notebook Assistant + LLM Kit
  • Compute Services
  • System Modeler

  • Wolfram|Alpha Notebook Edition
  • Wolfram|Alpha Pro
  • Mobile Apps

  • Wolfram Engine
  • Wolfram Player

  • Volume & Site Licensing
  • Server Deployment Options
  • Consulting
  • Wolfram Consulting
  • Repositories
  • Data Repository
  • Function Repository
  • Community Paclet Repository
  • Neural Net Repository
  • Prompt Repository

  • Wolfram Language Example Repository
  • Notebook Archive
  • Wolfram GitHub
  • Learning
  • Wolfram U
  • Wolfram Language Documentation
  • Webinars & Training
  • Educational Programs

  • Wolfram Language Introduction
  • Fast Introduction for Programmers
  • Fast Introduction for Math Students
  • Books

  • Wolfram Community
  • Wolfram Blog
  • Public Resources
  • Wolfram|Alpha
  • Wolfram Problem Generator
  • Wolfram Challenges

  • Computer-Based Math
  • Computational Thinking
  • Computational Adventures

  • Demonstrations Project
  • Wolfram Data Drop
  • MathWorld
  • Wolfram Science
  • Wolfram Media Publishing
  • Customer Resources
  • Store
  • Product Downloads
  • User Portal
  • Your Account
  • Organization Access

  • Support FAQ
  • Contact Support
  • Company
  • About Wolfram
  • Careers
  • Contact
  • Events
Wolfram Community Wolfram Blog
Legal & Privacy Policy
WolframAlpha.com | WolframCloud.com
© 2026 Wolfram
© 2026 Wolfram | Legal & Privacy Policy |
English