Subgraphs I

The subgraphs generated by this applet are created using a particular pattern. First, a trivial edge is drawn from the first node to itself. The next edge is drawn from node 1 to node \(s\), where \(s\) is the chosen skip value. Each successive edge is drawn by increasing the starting node by 1 and the ending node by \(s\). In the default example with \(s=2\), the first few edges would be \([0,0], [1,2],[2,4],[3,6],[4,8],[5,10]\) and so on.

Some envelopes that may appear include circles and cardioids, along with intricate rosettes. Other patterns include stars, grids, and combinations of several patterns.