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SnapPea is free software designed to help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks , who created the first version [ 1 ] as part of his doctoral thesis, [ 2 ] supervised by William Thurston .
His SnapPea program is used to study hyperbolic 3-manifolds, while he has also developed interactive software to introduce these ideas to middle-school, high-school, and college students. Weeks is particularly interested in using topology to understand the spatial universe. [ 2 ]
The snap pea is a cool season legume. It may be planted in spring as early as the soil can be worked. Seeds should be planted 25–40 mm (1– 1 + 1 ⁄ 2 in) apart and 15–25 mm (1 ⁄ 2 –1 in) deep in a 75 mm (3 in) band. [6]
SnapPea's cusp view: the Borromean rings complement from the perspective of an inhabitant living near the red component. Geometry lets us visualize what the inside of a knot or link complement looks like by imagining light rays as traveling along the geodesics of the geometry.
Dunfield did his undergraduate studies at Oregon State University, obtaining a B.S. in mathematics in 1994. For his graduate studies, he went to the University of Chicago, obtaining his Ph.D. in 1999, with a thesis on Cyclic Surgery, Degrees of Maps of Character Curves, and Volume Rigidity for Hyperbolic Manifolds written under the supervision of Peter Shalen and Melvin Rothenberg.
Once a small subfield of geometric topology, the theory of 3-manifolds has experienced tremendous growth in the latter half of the 20th century. The methods used tend to be quite specific to three dimensions, since different phenomena occur for 4-manifolds and higher dimensions.
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