In a petal projection, this diagram has only one crossing point, forming a topological rose.The "petals" formed by arcs of the curve that leave and then return to this crossing point are all non-nested, bounding closed disks that are disjoint except for their common intersection at the crossing point.The cyclic permutation of these integers, in the radial ordering of the branches around the crossing point, can be used as a purely combinatorial description of the petal projection.[1] In order to form a single knot, rather than a link, a petal projection must have an odd number of branches at its crossing point.[1][2] The Petaluma model is a random distribution on knots, parameterized by an odd number
Petal projection of a
trefoil knot
, the unique nontrivial knot with petal number five
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1
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