Knot Mosaics for the 109 Knot

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

The mosaic of the 109 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 (27) is. The crossing number is first realized with 31 non-blank tiles. Below are the relevant mosaics.

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

Back to the Knot Mosaic Table

References:

Heap, A.; LaCourt, N. Space-Efficient Prime Knot 7-Mosaics; Symmetry 2020, 12.
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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