Here we see isotopies of the unknot evolving on the right side, and the resulting growth of the cell colonies + the boundary points on the left. All the datapoints are in the site, so it takes a little while to load but once it does works smoothly (The data on the stereographic plots only show after clicking the home button in the top right).

Unknot dent

3D


Stereographic Projection of Boundary


Unknot twist

3D


Stereographic Projection of Boundary


Unknot double twist

3D


Stereographic Projection of Boundary


Trefoil

Final trefoil

Growth process trefoil