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{\red References.} 
The root, of course, is~\cite{Arnold:PlaneCurves}. Further references on
doodles include \cite{Khovanov:DoodleGroups,
FennTaylor:IntroducingDoodles, Me,
Tabachnikov:TriplePointFree, Vassiliev:TriplePointFree,
Vassiliev:Ornaments}. On Goussarov finite-type: \cite{Goussarov:Modifications,
Bar-Natan:Bracelets}.

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\bibitem[Ar]{Arnold:PlaneCurves} V.I.~Arnold,
  {\em Topological Invariants of Plane Curves and Caustics,}
  American Mathematical Society, 1994.

\bibitem[BN]{Bar-Natan:Bracelets} D.~Bar-Natan,
  {\em Bracelets and the Goussarov filtration of the space of knots,}
  {\em Invariants of knots and 3-manifolds (Kyoto 2001),} Geometry and
  Topology Monographs {\bf 4} 1--12, \arXiv{math.GT/0111267}.

\bibitem[FT]{FennTaylor:IntroducingDoodles} R.~Fenn and P.~Taylor,
  {\em Introducing Doodles,}
  in {\em Topology of Low-Dimensional Manifolds, Proceedings of the Second
  Sussex Conference, 1977}, Springer 1979.

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\bibitem[Go]{Goussarov:Modifications} M.~Goussarov,
  {\em Interdependent modifications of links and invariants of finite
    degree,}
  Topology {\bf 37-3} (1998) 595--602.

\bibitem[Kh]{Khovanov:DoodleGroups} M.~Khovanov,
  {\em Doodle Groups,}
  Trans.\ Amer.\ Math.\ Soc.\ {\bf 349-6} (1997) 2297--2315.

\bibitem[Me]{Me} A.B.~Merkov,
  {\em Vassiliev Invariants Classify Plane Curves and Doodles,}
  Sbornik: Mathematics {\bf 194-9} (2003) 1301.

\bibitem[Ta]{Tabachnikov:TriplePointFree} S.~Tabachnikov,
  {\em Invariants of Smooth Triple Point Free Plane Curves,}
  Jour.\ of Knot Theory and its Ramifications {\bf 5-4} (1996) 531--552.

\bibitem[Va1]{Vassiliev:TriplePointFree} V.A.~Vassiliev,
  {\em On Finite Order Invariants of Triple Point Free Plane Curves,}
  1999 preprint, \arXiv{1407.7227}.

\bibitem[Va2]{Vassiliev:Ornaments}  V.A.~Vassiliev,
  {\em Invariants of Ornaments,}
  Adv.\ in Soviet Math.\ {\bf 21} (1994) 225--262.

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