  In this paper we show how, under surprisingly weak assumptions, one can split
a planar curve into three arcs and rearrange them (matching tangent directions)
to obtain a closed curve. We also generalize this construction to curves split
into $k$ arcs and comment what can be achieved by rearranging arcs for a curve
in higher dimensions. Proofs involve only tools from elementary topology, and
the paper is mostly self-contained.
