Knot Mosaics for the 1037 Knot

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

The mosaic of the 1037 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.

1037 with mosaic and tile numbers realized
1037 with crossing number realized

Back to the Knot Mosaic Table

References:

Heap, A.; Baldwin, D.; Canning, J.; Vinal, G. Knot Mosaics For Prime Knots with Crossing Number 10 or Less; in preparation.

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