Skip to main content Skip to main navigation
heart-solid My Visit Donate
Home Smithsonian Institution IK development site for ODI
Press Enter to activate a submenu, down arrow to access the items and Escape to close the submenu.
    • Overview
    • Museums and Zoo
    • Entry and Guidelines
    • Museum Maps
    • Dine and Shop
    • Accessibility
    • Visiting with Kids
    • Group Visits
    • Overview
    • Exhibitions
    • Online Events
    • All Events
    • IMAX & Planetarium
    • Overview
    • Topics
    • Collections
    • Research Resources
    • Stories
    • Podcasts
    • Overview
    • For Caregivers
    • For Educators
    • For Students
    • For Academics
    • For Lifelong Learners
    • Overview
    • Become a Member
    • Renew Membership
    • Make a Gift
    • Volunteer
    • Overview
    • Our Organization
    • Our Leadership
    • Reports and Plans
    • Newsdesk
heart-solid My Visit Donate

Explore

  • Geometric Models – Surfaces of Degree Two, in Paper
  • Alexander Brill's Carton Models
  • Geometric Models - Surfaces of Degree Two in Paper - Wheeler
  • References

Geometric Models - Surfaces of Degree Two

Geometric Models – Surfaces of Degree Two, in Paper - Brill

American History Museum

The Danish-born mathematician Olaus Henrici studied engineering and them mathematics in Germany, settling in England in 1865. Henrici first worked as an engineer but then taught at University College London and, from 1884, at the Central Institution in South Kensington. At both schools, he arranged space for the construction of mathematical models. In 1873, his interlocking paper model of a second order surface was exhibited at a meeting of mathematicians in Göttingen. Alexander Brill of what would become the technical university in Munich, attended the meeting and was much impressed. Brill designed a series of such paper models, all made up of circular discs and arcs of discs. Alexander Brill apparently first simply displayed these, but by 1888, his brother, the publisher Ludwig Brill, was selling them as “Carton Models.” This was the first of numerous series of mathematical models that L. Brill and his successor Martin Schilling would publish over the next decades. The Smithsonian has two examples of this series, one exhibited at the 1893 world’s fair in Chicago and sold by Brill to Wesleyan University and the second sold by Schilling to the mathematics department at Brown University.


Geometric Model, L. Brill No. 5. Carton Ser. No. 1, Ellipsoid

Geometric Model, L. Brill No. 6. Carton Ser. No. 2, Ellipsoid

Geometric Model, L. Brill No. 10. Carton Ser. No. 3, Hyperboloid of One Sheet

Geometric Model, L. Brill No. 18, Carton Ser. No. 4 - Half of a Hyperboloid of Two Sheets

Geometric Model, L. Brill No. 22. Carton Ser. No. 5, Paraboloid Made from Cardstock

Geometric Model, L. Brill No. 26. Carton Ser. No. 6, Hyperbolic Paraboloid Made from Cardstock

Geometric Model, L. Brill No. 16 Carton Ser. No. 7, Half a Cone

Paper Models of Ellipsoids, M.Schilling No. 6 & No. 7, Carton Ser. No. 1 & No. 2

Paper Model of a Hyperboloid of One Sheet, M. Schilling No. 13, Carton Ser. No. 3

Paper Model of a Hyperboloid of Two Sheets, M. Schilling No. 24, Carton Ser. No. 4

Paper Model of an Elliptic Paraboloid, M. Schilling No. 28, Carton Ser. No. 5

Paper Model of a Hyperbolic Paraboloid, M. Schilling No. 35, Carton Ser. No. 6

arrow-up Back to top
Home
  • Facebook facebook
  • Instagram instagram
  • LinkedIn linkedin
  • YouTube youtube

  • Contact Us
  • Get Involved
  • Shop Online
  • Job Opportunities
  • Equal Opportunity
  • Inspector General
  • Records Requests
  • Accessibility
  • Host Your Event
  • Press Room
  • Privacy
  • Terms of Use