منابع مشابه
On Sphere-Filling Ropes
What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope’s thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simplest ones are similar to the seamlines of a tennis ball, others exhibit a striking resemblance to Turing patterns in chemistry, or to ordered ...
متن کاملPartitioning with Space-Filling Curves on the Cubed-Sphere
Numerical methods for solving the systems of partial differential equations arising in geophysical fluid dynamics rely on a variety of spatial discretization schemes (e.g. finite difference, finite element). For parallel execution on distributed memory computers, the computational domain must be partitioned. The choice of partitioning algorithm can have a significant impact on the sustained flo...
متن کاملSpace filling minimal surfaces and sphere packings
A space filling minimal surface is defined tu be any embedded minimal surface without boundary with the property (haï the area and genus enclosed by any large spherical
متن کاملQuasigeodesic Flows and Sphere-filling Curves
Given a closed hyperbolic 3-manifold M with a quasigeodesic flow we construct a π1-equivariant sphere-filling curve in the boundary of hyperbolic space. Specifically, we show that any complete transversal P to the lifted flow on H3 has a natural compactification as a closed disc that inherits a π1 action. The embedding P →֒ H3 extends continuously to the compactification and the restriction S1 →...
متن کاملInteractive rendering of deformable objects based on a filling sphere modeling approach
Mass-spring systems have widely and effectively been used for modeling in mal-time deformable objects. Easier to implement and faster than finite elements, these systems, on the other side, suffer from several drawbacks when coming to render physically believable behaviors. Neither isotropic or anisotropic materials can be controlled easily and the large number of springs and mass points compos...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 2011
ISSN: 0002-9890,1930-0972
DOI: 10.4169/amer.math.monthly.118.10.863