Spacefilling knots (Q1368010)

This paper gives a construction of a toroidal polyhedra which is homotopic to an arbitrary given knot and which admits an isohedral tiling of 3-space. Isohedral means that the group of symmetries acts transitively on the tiles. Other constructions of spacefilling knots are due to \textit{W. Kuperberg} [Discrete Comput. Geom. 13, No. 3-4, 561-567 (1995; Zbl 0824.57016)] and \textit{C. C. Adams} [Math. Intell. 17, No. 2, 41-51 (1996; Zbl 0847.52020)].