Skip to main content

Search

My Visit
Donate
Home Smithsonian Institution

Site Navigation

  • Visit
    • Museums and Zoo
    • Entry and Guidelines
    • Maps and Brochures
    • Dine and Shop
    • Accessibility
    • Visiting with Kids
    • Group Visits
      • Group Sales
  • What's On
    • Exhibitions
      • Current
      • Upcoming
      • Past
    • Online Events
    • All Events
    • IMAX & Planetarium
  • Explore
    • - Art & Design
    • - History & Culture
    • - Science & Nature
    • Collections
      • Open Access
    • Research Resources
      • Libraries
      • Archives
        • Smithsonian Institution Archives
        • Air and Space Museum
        • Anacostia Community Museum
        • American Art Museum
        • Archives of American Art
        • Archives of American Gardens
        • American History Museum
        • American Indian Museum
        • Asian Art Museum Archives
        • Eliot Elisofon Photographic Archives, African Art
        • Hirshhorn Archive
        • National Anthropological Archives
        • National Portrait Gallery
        • Ralph Rinzler Archives, Folklife
        • Libraries' Special Collections
    • Podcasts
    • Stories
  • Learn
    • For Caregivers
    • For Educators
      • Art & Design Resources
      • Science & Nature Resources
      • Social Studies & Civics Resources
      • Professional Development
      • Events for Educators
      • Field Trips
    • For Students
    • For Academics
    • For Lifelong Learners
  • Support Us
    • Become a Member
    • Renew Membership
    • Make a Gift
    • Volunteer
      • Smithsonian Call Center
      • Ambassador Program
      • Museum Information Desk
      • Docent Programs
      • Behind-the-Scenes
      • Digital Volunteers
      • Participatory Science
  • About
    • Our Organization
      • Board of Regents
        • Members
        • Committees
        • Reading Room
        • Bylaws, Policies and Procedures
        • Schedules and Agendas
        • Meeting Minutes
        • Actions
        • Webcasts
        • Contact
      • Museums and Zoo
      • Research Centers
      • Cultural Centers
      • Education Centers
      • General Counsel
        • Legal History
        • Internships
        • Records Requests
          • Reading Room
        • Tort Claim
        • Subpoenas & Testimonies
        • Events
      • Office of Human Resources
        • Employee Benefits
        • How to Apply
        • Job Opportunities
        • Job Seekers with Disabilities
        • Frequently Asked Questions
        • SI Civil Program
        • Contact Us
      • Office of Equal Opportunity
        • EEO Complaint Process
        • Individuals with Disabilities
        • Small Business Program
          • Doing Business with Us
          • Contracting Opportunities
          • Additional Resources
        • Special Emphasis Program
      • Sponsored Projects
        • Policies
          • Combating Trafficking in Persons
          • Animal Care and Use
          • Human Research
        • Reports
        • Internships
    • Our Leadership
    • Reports and Plans
      • Annual Reports
      • Metrics Dashboard
        • Dashboard Home
        • Virtual Smithsonian
        • Public Engagement
        • National Collections
        • Research
        • People & Operations
      • Strategic Plan
    • Newsdesk
      • News Releases
      • Media Contacts
      • Photos and Video
      • Media Kits
      • Fact Sheets
      • Visitor Stats
      • Secretary and Admin Bios
      • Filming Requests

Painting - Heptagon Stated By Seven Toothpicks (Between Parallels)

National Museum of American History

Object Details

painter
Johnson, Crockett
Description
This whimsical painting is part of Crockett Johnson's exploration of ways to represent the sides and angles of a regular heptagon using line segments of equal length. In its mathematics, it follows closely the construction from isosceles triangles within a rhombus used in the painting Heptagon from Ten Equal Lines (#104 in the series - 1979.1093.71). However, both the line segments shown and the appearance of the paintings are quite different.
Here three pairs of carefully selected equal lines at appropriate equal angles combine with a seventh line of equal length to give a construction of three sides and two angles of a regular heptagon. All but one of the endpoints of the lines lie on a parallelogram (the rhombus mentioned previously), hence the title. The segment of the heptagon is on the right side of the painting. In Crockett Johnson's figure for the work, the segment is lettered BCPE.
The painting, in oil or acrylic on masonite, is #106 in the series. It has a dark purple background. The pairs of line segments are in turquoise, green, and lavender, with the vertical one in white. This increases the drama of the painting, but obscures the heptagon. There is a wooden frame. The painting is signed on the back: HEPTAGON STATED BY (/) SEVEN TOOTHPICKS (/) (BETWEEN PARALLELS) (/) Crockett Johnson 1973.
Location
Currently not on view
Credit Line
Ruth Krauss in memory of Crockett Johnson
1973
ID Number
1979.1093.73
catalog number
1979.1093.73
accession number
1979.1093
Object Name
painting
Physical Description
masonite (substrate material)
metal (frame material)
Measurements
overall: 67 cm x 41.5 cm x 2.9 cm; 26 3/8 in x 16 5/16 in x 1 1/8 in
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Crockett Johnson
Art
National Museum of American History
Record ID
nmah_694697
Metadata Usage (text)
CC0
GUID (Link to Original Record)
https://n2t.net/ark:/65665/ng49ca746a5-2086-704b-e053-15f76fa0b4fa

Related Content

  • Mathematical Paintings of Crockett Johnson

    American History Museum
  • Mathematical art

  • Mathematical Paintings of Crockett Johnson

    American History Museum
  • Mathematical Paintings of Crockett Johnson

    American History Museum
Heptagon Stated by Seven Toothpicks (Between Parallels)
There are restrictions for re-using this image. For more information, visit the Smithsonian's Terms of Use page .
International media Interoperability Framework
IIIF provides researchers rich metadata and media viewing options for comparison of works across cultural heritage collections. Visit the IIIF page to learn more.
View manifest View in Mirador Viewer

Footer logo

Link to homepage

Footer navigation

  • Contact Us
  • Job Opportunities
  • Get Involved
  • Inspector General
  • Records Requests
  • Accessibility
  • EEO & Small Business
  • Shop Online
  • Host Your Event
  • Press Room
  • Privacy
  • Terms of Use

Social media links

  • Facebook
  • Instagram
  • YouTube
  • LinkedIn

Get the latest news from the Smithsonian

Sign up for Smithsonian e-news

Get the latest news from the Smithsonian

Email powered by BlackBaud (Privacy Policy, Terms of Use)
CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
Back to Top