Knot Mosaics for the 10_91 Knot

For many knots, the tile number and/or crossing number cannot be realized when the mosaic number is realized.

The mosaic of the 1091 knot given in the table has the mosaic number and tile number realized, but the crossing number of this knot cannot be realized when the tile number is 29. The crossing number is first realized with 31 non-blank tiles. Below are the relevant mosaics.
1091 with mosaic and tile numbers realized
1091 with crossing number realized

Back to the Knot Mosaic Table

References:

Heap, A.; Baldwin, D.; Canning, J.; Vinal, G. Tabulating Knot Mosaics: Crossing Number 10 or Less; in preparation.