Tiling 3-Space with Trefoil Knots

The construction of the Trefoil Knot Tile

The four floorplans The combinations of the two different floors
when all three knot-tiles are placed:

The 3D Trefoil-Knot Tile

And these are some views of the whole 3D knot-tile:

The four stories are colored differently:

Rainbow coloring along the knot path:


Page Editor: Carlo H. Séquin