CS39 -- Symmetry and Topology -- Spring 2019

Emerging (Tentative) Schedule


 L1
   1/28 C. H. Sequin
What is Symmetry?    Bilateral and Rotational Symmetries in 2D.   Hubcaps.
 L2    2/04 CHS
Translation.  Frieze Symmetries.  Musical Scales.  Symmetry Groups.
 L3    2/11 CHS Symmetry of Finite Objects.  Platonic Solids.  Intro to Topology.  The Genus of Handle-Bodies.
 
   2/18
PRESIDENT'S  DAY
 L4    2/25 CHS 2-Manifolds,  Moebius bands, Klein bottles.  Classification of 2-manifolds.
 L5    3/04 CHS Global Connectivity of 2D Worlds.  Exercises in finding the Genus and Symmetry of objects.
 L6    3/11
CHS Euler Characteristic and Genus.  Classification of 2-manifolds.   Projective Plane.  Boy Surface.
 L7    3/18 CHS Graph Theory. Hints on Course Projects.  -- Mid-term QUIZ 

   3/25
SPRING  BREAK
 L8    4/01
CHS
Graphs, Mathematical Knots, and their relations to  Topology.  -- Good Study Habits.
 L9    4/08 CHS Smooth Deformations.  Regular HomotopiesTurning Things Inside-Out.  
 L10    4/15 CHS Sphere Eversions.  Regular Polytopes in 4 Dimensions.
 L11    4/22
CHS Regular Polytopes in Higher Dimensions.  Wallpaper Symmetries.  
 L12    4/29
CHS Wallpaper Symmetries;  Tilings;  Modular Constructions.   +  A First Project Presentation.   
 L13    5/06
Class, CHS Student Project Presentations.  +  Meta-Skills
 L14
   5/13
Class, CHS Student Project Presentations.  Elevator Speeches.   +  Wrap-up
 PR
   5/17
All
Project Reports Due.

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