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Dr. Jeannine Mosely

Deposit # 71
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A Construction with 66,048 Business Cards

Menger's Sponge


A Fractal  3-d Analog of the Sierpinski Carpet

Karl Menger
Karl Menger 1902 - 1985

Museum display

Other curved surfaces
Other examples of
Dr. Mosely's
exploration of curved creases with the constraint of connectivity.
Other curved surfaces

Dr. Mosely, who created this model of Menger's Sponge and shephered its construction over the past nine years, studied electrical engineering at MIT.  She now works in the emerging field of computational origami, a branch of mathematics that explores the formal properties and potential configurations of folded paper.


Do not be misled by the name of "origami."  Origami can be far more than paper art.  Be reminded that William Thurston, a Princeton University and Institute for Advanced Study 1982 Fields Medal mathematician, liked to test his abstract ideas using construction paper and scissors to classify three dimensional manifolds.  By experimenting, Thurston found that all possible manifolds could be broken down into one or more of eight types, but they had a "preferred" geometry -now known as the Thurston geometrization conjecture.

Currently, one of the central problems in biophysical chemistry and biophysics is protein folding, where the goal is understanding how a linear polypeptide chain folds into highly symmetrical structures such as four-helix bundles.

Origami and protein folding are alike in that both are restrained by connectivity.

Dr. Mosely first publicly presented her project to coincide with OSRME 4, the Fourth International Conference on Origami in Science, Mathematics and Education at Caltech in September. 2006.

Links to Dr. Mosely's Project Mosely crawling through a sponge
Mosely's logo
For a biography of Karl Menger

For more information on the relationship of Thurston's manifolds to Poincaré's Conjecture please see
S. Naser and D. Gruber,  "Annals of Mathematics: Manifold Destiny,"  The New Yorker,  August 28, 2006, pp. 44-57.

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