  Entangled objects such as entangled graphs and weaves are often seen in
nature. In the present article, two identical graphs entangled, and weaves with
two different color threads are studied. A method to identify stable
configurations in the three dimensional space of a given topological entangled
structure, a planar graph with crossing information, is proposed by analyzing
the steepest descent flow of the energy functional with repulsive interactions.
The existence and uniqueness of a solution in the entangled case. In the
untangled case, a weave has a unique tangle decomposition with height order,
whose components are moving away each other in the order $t^{1/3}$ as time $t$
goes to the infinity.
