Monday  Tuesday  Wednesday  Thursday  
1Rigid Plane Geometry  26/  27/Introduction/
Pythagorean theorem The puzzle problem Regular polygons. 1 figure tilings. 
28/Tangrams/ regular 1 figure tilings
Equidecomposable Polygons Symmetry & Isometry: Introduction 
29/semiregular 2 figure tilings/ 
2 Rigid Space Geometry Planar and Space.
Similarity. 
2/Generation of Isometries/ classification  3/Isometries and symmetries generating tilings from more interesting
figures. Introduction to Space: cross sections and casting shadows. 
4/ Regular and semiregular polyhedra
Symmetry in space Begin Similarity and Orthogonal Projection 
5/More on regular and semiregular polyhedra Space Isometries

3 Inversion. Projective Geometry. Topology of Planar Networks  9/More Similarity Applied
Projections:Orthogonal vs. Central. Coincidences Networks in the plane (sphere). 
10/Begin Inversion.
More on Projective geometry The Projective Line & Point at Infinity. The Euler Formula for the plane (sphere) 
11/The Torus flattened. Networks on the Torus.
Perspectivities and Projectivities. Inversion  Circles and Lines. 
12/Application of Inversion
Dimension  coordinates The Utility Problem. 
4 Topology of the plane and space. Surfaces. NonEuclidean Geometries  16/
The Color Problem NonEuclidean Geometry and inversion. Perspective and projection in drawing. 
17/ The Projective Plane Finite Projective geometries. Duality Mathematical Models Uncountably infinitely many points on a line segment. Space Filling Curves Fractals. Begin: the Mobius Band and the Klein Bottle 
18/More on Fractals
The Conics  Euclidean view. Desargues Configurations 
19/Closing  Bianchon and Pascal Conic Configurations The Conics  Projective View Orientable and nonorientable surfaces. Classification of Surfaces. Turning the sphere inside out. Handout Some details on the five color theorem. 