Table of Knot Mosaics - Mosaic Number 6 or Less

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• Crossing number 10 or less
• Mosaic number 5 or less
• Mosaic number 6 or less
• Mosaic number 7 or less (Coming soon)
  

The mosaics in this table are color coded with the following key (t = tile number, t_m = minimal mosaic tile number):

• Mosaic number 5:     : t = 17;
• Mosaic number 6:     : t = 22;     : t = 24;     : t = 27;     : t_m = 32*

* Note: Most prime knots that require 32 non-blank tiles to fit on a 6-mosaic (i.e. t_m = 32) have tile number less than 32 that can only be achieved on a 7-mosaic. The only knots that have mosaic number 6 and tile number 32 also have crossing number 13, and they are listed at the very bottom of the table. All given mosaics have mosaic number realized. Click "more" to see mosaics with tile number or crossing number realized.

When listing prime knots with crossing number 11 or more, we use the Dowker-Thistlethwaite name of the knot. See KnotInfo for more information.

All knots with mosaic number 6 and crossing number 11 are given here. None of these have tile number 32.

All knots with mosaic number 6 and crossing number 12 are given here. None of these have tile number realized.

All knots with mosaic number 6 and crossing number 13 are given here. Some of these have tile number 32 realized in the given mosaic.