** "KNOT DIVIDED"**

**Can a DIVIDED KNOT be NOT DIVIDED ?**

We start with the simplest possible knot: the overhand knot, also known as the trefoil or pretzel knot,

-- which we then split lenghtwise along the whole strand that forms the three loops.

But there is a twist that may lead to surprises: The knotted strand is actually a triply twisted Moebius band!

Thus the question:

Does our cut separate the structure into two pieces, or does it form a single, highly knotted twisted strand?

**FOR MATHEMATICIANS ONLY:
**

**There is a self-referential beauty in our sculpture:
**

**If one forms a Moebius band by twisting a belt through three half-turns
(instead of just one), **

**then the band's edge forms a trefoil knot.
**

**Mathematicians classify the complexity of knots by the minimum number
of line crossings **

**that one must accept when trying to draw that knot
on a piece of paper. **

**The trefoil knot is the simplest knot and cannot
be drawn with less than three crossings.
**

**Our sculpture starts out as a triply twisted Moebius band, knotted into
a trefoil knot. **

**When we split it lengthwise, it is still a single knot,
but of higher complexity.
**

**Can you figure out what its crossing number is?**