Which knot did this animal swallow?
The Dunfallandy knot; sum of four 21312's
in Conway notation, or 917's in Rolfsen notation. Its
determinant is 394 and so can be coloured both mod
3 and mod 13. Can you find the colours?
Here is a quote from one
of the first papers on knots:
Tait, On Knots,Trans. Roy. Soc. Edinburgh 28 (1876-7), 145-190
"My investigations commenced with the recognition of the fact that in
any knot or linkage whatever the crossings may be taken throughout
alternately over and under. It has been pointed out to me that this
seems to have been long known, if we may judge from the ornaments on
various Celtic sculptured stones, ...."
We now know not every knot has an alternating diagram