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Cobwebbing is a graphical method of exploring the behavior of repeatedly applying a function f(x) beginning at an initial point x0, shown as the blue point on the x-axis. Click the button labeled step to apply f to x0, obtaining x1=f(x0), as shown in the list at the right and on the y-axis.
A cobweb plot, known also as Lmeray Diagram or Verhulst diagram is a visual tool used in the dynamical systems field of mathematics to investigate the qualitative behaviour of one-dimensional iterated functions, such as the logistic map.
To draw a cobweb diagram for the recursive formula an=f(an1), proceed as follows. Graph (on the same rectangular coordinate system) the equations y=f(x) and y=x. Start at the point (a1,0). Draw a line vertically to meet the graph of y=f(x). Draw a line horizontally to meet the graph of y=x. Return to step 3.
Go to the Insert tab in Excel. Then, in Other Charts, select the Radar with Markers chart. It will insert a blank radar chart in Excel.
The cobweb diagram illustrates the movement from first guess x0 to second guess x1 etc. Draw a line from (x0,0) up to (x0,x1). Then across to (x1,x1). Then up or down to (x1,x2).

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Cobweb and Staircase Diagrams Diagrams can be drawn to determine convergence (or divergence). These are called cobweb and staircase diagrams.

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