Klein bottles come in many different forms.
The Projective Plane and Boy's Model.
Two Moebius bands together make a Klein bottle:
Limerik;
Demo with Cliff Stoll's zippered model.
How many different Klein bottles are there?
How to make a single-sided, non-orientable surface of genus g ?
What is a Knot? by Numberphile
What is (and what isn't) a mathematical knot ?
How are knots named and tabulated ?
When can we be sure that two knots are the same ?
When do we know that two knots are different ?
Let's simplify some knots until we know for sure what they are
. . .
KNOT_A
KNOT_B
What are prime-knots ?
Where might mathematical knots and knot theory be useful ?
Due: October 30, 2017
1) Fix up your QUIZ by using the on-line
CS_39 web pages,
Wikipedia, and whatever other technical sources you
may find.
For any question that you got wrong, add a new corrected
answer,
using a color that is clearly different from the one you used
originally.
Bring your corrected QUIZ to class.
(There is no need to remember all the
details learned in this course,
as long as you learn where to find them again quickly, if you
need them!)
2) Watch these two Numberphile videos:
What is a Knot?to be prepared for an in-depth discussion on Mathematical
Knots.
