Tuesday  Thursday  


96 The Pythagorean Theorem a^{2 }+ b^{2 }= c^{2} 


Regular polygons
Begin Symmetry and Tilings of the Plane 

Symmetries for a Single Polygon Reflections and Rotations 
92205 Regular and Semi regular Tilings of the Plane 

92705 More Symmetry: Friezes, wallpaper, and tilings. ...ppppp... ...ddddd... 
92905
Isometries!


Finish Isometries Visualizing Spatial Objects in Flatland: Slices, Projections, and "Cut and Flatten". 


101105
Spatial Objects: Getting Familiar with The Platonic Solids. Counting Faces, edges, and vertices.


Appplications of the Euler Formula
"A Hard Problem" What's possible and what's impossible! V+R = E + 2

102005 NO CLASS October Break! 

Appplications of the Euler Formula
"A Hard Problem" What's possible and what's impossible! The Utilities Problem in the Plane! 
Appplications of the
Euler Formula
Complete Graphs in the Plane. The Color Problems on the plane and the sphere and ... 

Topological surfaces: Vocabulary
and The Moebius Band


More Topological Vocabulary: Closed and Orientable Surfaces Immersions Imbeddings. Begin the fourth dimension.

The fourth dimension.
Begin Classification of Surfaces 


Seeing the Infinite
