unicursal

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“
Four regions of this starting knot are replaced with a scaled-down copy of the full starting knot, incorporated in such a way that the iterated knot is still unicursal.

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Definitions (3)

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  1. On one path of a moving element.
  2. Unicursal curve a curve which can be expressed as the locus of a point defined by rational functions of a single parameter. Not every unipartite curve is unicursal, because, though such a curve may be expressed in terms of a single parameter, it may be only by means of an irrational function having but one real value; but such curves are only of odd orders. A unicursal curve may have several branches, owing to its passing through infinity.

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Examples (1)

  • Four regions of this starting knot are replaced with a scaled-down copy of the full starting knot, incorporated in such a way that the iterated knot is still unicursal. —  بالاترین
 

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