Some articles on rational tangle, tangle:
... A rational tangle is a 2-tangle that is homeomorphic to the trivial 2-tangle as a map of pairs consisting of the 3-ball and two arcs ... The four endpoints of the arcs on the boundary circle of a tangle diagram are usually referred as NE, NW, SW, SE, with the symbols referring to the compass directions ... An arbitrary tangle diagram of a rational tangle may look very complicated, but there is always a diagram of a particular simple form start with a tangle diagram ...
Famous quotes containing the words tangle and/or rational:
“When one has come to accept a certain course as duty he has a pleasant sense of relief and of lifted responsibility, even if the course involves pain and renunciation. It is like obedience to some external authority; any clear way, though it lead to death, is mentally preferable to the tangle of uncertainty.”
—Charles Horton Cooley (18641929)
“Every rational creature has all nature for his dowry and estate. It is his, if he will. He may divest himself of it; he may creep into a corner, and abdicate his kingdom, as most men do, but he is entitled to the world by his constitution.”
—Ralph Waldo Emerson (18031882)