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Knots. Holy trefoils, math fans!. The Inca & the Quipus. The Inca used quipus --colored strings with carefully placed knots-- to keep records of their trade with each other and with other tribes. A quipus. Knots and Art. Celtic artwork uses knots. Knots and Sailing.

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knots

Knots

Holy trefoils, math fans!

the inca the quipus
The Inca & the Quipus
  • The Inca used quipus --colored strings with carefully placed knots-- to keep records of their trade with each other and with other tribes.

A quipus

knots and art
Knots and Art
  • Celtic artwork uses knots.
knots and sailing
Knots and Sailing
  • Any good sailor can tie lots of different knots.

Bowline Knot (pronounced Boh-Lin)

Reef Knot

Angler’s Knot

what is a knot
What is a knot?
  • If you know how to tie a shoe, then you know what a knot is.
  • The only difference between this knot and a knot mathematically is that we connect the ends.
when are two knots the same
When are two knots the same?
  • Two knots are equivalent if you can deform one to the other without cutting the knot open.
are these knots the same
Are these knots the same?
  • Can you use your rope to change one into the other?