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About: Train track (mathematics)     Goto   Sponge   NotDistinct   Permalink

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In the mathematical area of topology, a train track is a family of curves embedded on a surface, meeting the following conditions: 1. * The curves meet at a finite set of vertices called switches. 2. * Away from the switches, the curves are smooth and do not touch each other. 3. * At each switch, three curves meet with the same tangent line, with two curves entering from one direction and one from the other.