CS 39: Symmetry & Topology
Lecture #12 -- Mon. 4/29, 2019.

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Preparation: Annotate the worksheet of different wall-paper patterns.

Warm-up:

Compare your own findings with this solution sheet:
wallpaper symmetries

Wallpaper Symmetries:

Back to Two Dimensions, but with Lots of Symmetry!

Annotate the worksheet of different wall-paper patterns.

How to find the elements of Wallpaper Symmetries ?

How many different Wallpaper Symmetries are there?
(Try to find a good lower and upper bound...)

From "The Symmetry of Things": 1, 2.

Wallpaper Symmetries

Tiling Patterns

Modular Constructions

Discussion the above relationships . . .

Tubular Sculptures, Lego Knots, "Cubist Approximations" . . .

A first presentation by Sophie Chen on Chinese Architecture.

Future Project Presentations:

Meta Skills:

Discussion: What does it take to succeed at UC Berkeley?

Learning some essential skills:
-- Giving an oral presentation with good visuals (PPT).
-- Preparing an "elevator speech" (60-90 seconds).
-- Writing an extended abstract (2-4 pages).
-- Building your Portfolio.

New Homework Assignments:

Modular construction of a "cubist Moebius band"
from square paper tiles parallel to one of the tree coordinate axes.
(Or if this is too easy, do a "cubist Klein bottle".)
Here are some explanations and hints concerning this assignment.
Due in next class.

Prepare your Course Project presentations.
(You can see some presentations of previous years at:
http://people.eecs.berkeley.edu/~sequin/CS39/LECT_2017/ProjectPresentations/ )

Think about your Elevator Speech.