Knot Mosaics for the 9_15 Knot
For many knots, the tile number and/or crossing number cannot be realized when the mosaic number is realized. The mosaic of the 915 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 29 non-blank tiles. Below are the relevant mosaics. |
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References:
Heap, A.; LaCourt, N. Space-Efficient Prime Knot 7-Mosaics; Symmetry 2020, 12.
Heap, A.; Baldwin, D.; Canning, J.; Vinal, G. Tabulating Knot Mosaics: Crossing Number 10 or Less; in preparation.