منابع مشابه
The ideal trefoil knot
The most tight conformation of the trefoil knot found by the SONO algorithm is presented. Structure of the set of its self-contact points is
متن کامل1 The ideal trefoil knot
The most tight conformation of the trefoil knot found by the SONO algorithm is presented. Structure of the set of its self-contact points is analyzed.
متن کاملA Spacefilling Trefoil Knot
This note describes a (polyhedral) prototile which is topologically equivalent to a trefoil knot and admits a (monohedral) tiling of 3-space.
متن کاملAsymptotic Windings of Horocycles
We analyze the scaling limits of the winding process for horocycles on non-compact hyperbolic surfaces with finite area. Initial conditions with pre-compact forward geodesics have scaling limits with gaussian and Cauchy components. Typical initial conditions have different scaling limits along different subsequences of times, but all such scaling limits can still be described. Some of our resul...
متن کاملLength of the tightest trefoil knot.
The physical sense of tight knots provided by the SONO algorithm is discussed. A method allowing one to predict their length is presented. An upper bound for the minimum length of a smooth trefoil knot is determined.
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2005
ISSN: 0213-2230
DOI: 10.4171/rmi/434