The geometric template for this series of knots is two nested cubes. These 3-dimensional knots were created using KnotPlot, which allows manipulation of the knots in 3-D. The KnotPlot files are available by clicking on the links below.
The starting knot:
The KnotPlot file for the starting knot
The knot after one iteration:
The KnotPlot file for the knot after one iteration
The knot after two iterations:
The KnotPlot file for the knot after two iterations
The knot after six iterations, two views:
The KnotPlot file for the knot after six iterations