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The Hebrew University of Jerusalem
Mathematics and Computer Science Library
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אמנות בספריה
The library's collection of mathematical models includesThe models are exhibited permanently in the library at the entrance area.
- Schilling models of surfaces (in plaster)
- M.C. Escher kaleidocycles (in paper)
- Models in plastic
"Mathematical model" / Encyclopaedia Britannica Online.
"Physical mathematical models include reproductions of plane and solid geometric figures made of cardboard, wood, plastic, or other substances; models of conic sections, curves in space, or three-dimensional surfaces of various kinds made of wire, plaster, or thread strung from frames; and models of surfaces of higher order that make it possible to visualize abstract mathematical concepts."
Some mathematical models in plaster were included in Prof. Felix Klein's personal collection (who rearranged and added to the collection of mathematical models in Göttingen) and purchased by Prof. Landau for the library (see: → Library's history).The collection of mathematical models in Göttingen was developed to use physical models and experimental instruments in education and research. This model collection already had a long history when Hermann Amandus Schwarz and Felix Klein overtook the direction of the collection.
The model collection was systematically modernized and completed for the education in geometry and geodesy under the direction of Klein. This collection was considered so important that Klein exhibited the models on the occasion of the World s Columbian Exposition 1893 in Chicago.
Most of the models were produced by Martin Schilling in Leipzig. The firm's catalogue of the firm catagorized the models into series. Each model is described and explained.
Martin Schilling : Catalog mathematischer Modelle für den höheren mathematischen Unterricht. 7. Aufl. Leipzig : Martin Schilling,1911.
| Click on a small image to see the larger picture |
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| Description in German from catalog | Library model | English description | Photo of similar model in other collections |
|---|---|---|---|
| Series XVI, designed 1888 by Prof. E.R. Neovius | |||
| Ellipsoid mit drei Hauptschnitten und achtzehn Krümmungslinien |
XVI no.1 | Ellipsoid with three basic intersections and eighteen lines of curvature | University of Groningen |
| Einschaliges Hyperboloid |
XVI no.4 | Single hyperboloid | Modelli matematici, Rome |
| Zweischaliges Hyperboloid |
XVI no.5 | Double hyperboloid | |
| Vereinigung eines Ellipsoids mit einem confocalen einschaligen Hyperboloid |
XVI no.6 | Union of an ellipsoid with lines of curvature (coming from intersecting confocal quadrics) and a confocal single hyperboloid (with two families of lines) | MIT |
| Vereinigung eines Ellipsoids mit einem confocalen zweischaligen Hyperboloid |
XVI no.7 | Union of an ellipsoid with lines of curvature (coming from intersecting confocal quadrics) and a confocal double hyperboloid | MIT |
| Vereinigung eines einschaligen Hyperboloids mit einem confocalen zweischaligen Hyperboloid |
XVI no.8 | Union of a single hyperboloid with a confocal double hyperboloid | Göttinger Sammlung mathematischer Modelle |
| Vereinigung eines Ellipsoids mit einem confocalen einschaligen und einem confocalen zweischaligen Hyperboloid |
XVI no.9 | Union of an ellipsoid with a confocal single hyperboloid and a confocal double hyperboloid | Martin-Luther-Universität Halle-Wittenberg |
| Series XXIII, designed 1889 | |||
| Das dreiaxige Ellipsoid mit Krümmungslinien |
XXIII no.1b. | Ellipsoid | Martin-Luther-Universität Halle-Wittenberg |
| Das zweischalige Hyperboloid |
XXIII no.3 | Double hyperboloid | Mathematischer Modelle an der Technischen Universität Dresden |
| Das hyperbolische Paraboloid |
XXIII no.5 | Hyperbolic paraboloid | University of Arizona |
| Great ditrigonal icosidodecahedron | Gratrix.net | |
Bibliography:
- Visualizing Mathematics - Online / Konrad Polthier
- Theory and history of geometric models / Irene Polo-Blanco. 2007 (Groningen : Academic Press Europe). - XIV, 175 p. : ill. ; 24 cm Proefschrift Rijksuniversiteit Groningen. ISBN 978-90-78927-01-3
Other collections and more information:
- Göttinger Sammlung mathematischer Modelle = Göttingen collection of mathematical models and instruments / Mathematisches Institut (Göttingen)
- Mathematical models of surfaces / University of Groningen
- Models of mathematical surfaces / Angela Vierling-Claassen, Department of Mathematics, Lesley University
- Altgeld Math models collection / University of Illinois
- Die historische Sammlung mathematischer Modelle am Institut für Mathematik der Martin-Luther-Universität, Halle-Wittenberg
- Mathematical models / University of Dundee Museum
- Also displayed in the library, polyhedral forms assembled from the book:
- M.C. Escher Kaleidozyklen / von Doris Schattschneider und Wallace Walker.
Berlin : Benedikt Taschen, 1990.
Translation of M.C. Escher kaleidocycles.
- More information:
- M.C. Escher kaleidocycles / Marcus Engel.
M.C. Escher / Wikipedia
Models photographed by: Gila Manusovich-Shamir,
Jerusalem
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