Transcript Powerpoint of the lesson

Knots
Holy trefoils, math fans!
The Inca & the Quipus

A quipus
The Inca used quipus -colored strings with
carefully placed knots-- to
keep records of their
trade with each other and
with other tribes.
Knots and Art
Celtic
artwork uses
knots.
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?
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.
Are these knots the same?
Or, are these knots different?
What
do
YOU
think?
Knot 1
Knot 2
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?
Can
you use
your rope
to change
one into
the other?