These surfaces are build by putting tubes on regular tessellations of S3 [1]. The surfaces in the WebGL, with genus g, are
5-cell g=6
16-cell g=17
24-cell g=73
600-cell g=601
Minimal 5-cell.Stereographic projection of the minimal 5-cell. The lines on the surface are curvature lines, and disks are cut out at each of the 16 umbilics, at which three curvature lines meet.
References
H. Karcher, U. Pinkall, and I. Sterling, New minimal surfaces in S3, J. Differential Geom.28(1988), no. 2, 169—185 [961512].
