I. FINITE GEOMETRIES .- Introduction via the Fano plane.- Designs.- Configurations.- Generalized Quadrangles.- The Smallest Three-Dimensional Projective Space.- The Projective Plane of Order 3.- The Projective Plane of Order 4. - The Projective Plane of Order 5. - Star Gazing in Affine Planes up to Order 8. - Biplanes.- Semibiplanes.- The Smallest Benz Planes.- Generalized Polygons.- Color Pictures and Building the Models.- Some Fun Games and Puzzles.- II. GEOMETRIES ON SURFACES .- Introduction via Flat Affine Planes.- Flat Circle Planes - An Overview.- Flat Projective Planes.- Spherical Circle Planes.- Cylindrical Circle Planes of Rank 3.- Toroidal Circle Planes.- Appendix A: Models on Regular Solids.- Appendx B: Mirror Technique Stereograms. Skryť popis