Paulo Freire's polytope models

Main site:

1. Welcome
2. Polygons
   • Points, line segments, the Zometool
   • Zomable polygons
   • Metric properties and symmetry
3. Polyhedra
   • Regular and quasi-regular solids
   • Star polyhedra
   • Regular compounds
4. Polyhedra with the Zometool
   • Fundamental models
   • Stellating and faceting the Platonic solids
   • Stellating and faceting the quasi-regular solids
5. Polychora
• Projections and sections
• Simple regular polychora
• The 24-cell
• The 600-cell and the 120-cell
6. Star polychora
   • Regular star polychora
   • Geometric relations
   • Partially regular polychora
7. Regular polychoron compounds
   • Triality
   • Facetings of the 24-cell
   • Facetings of the 600-cell
   • Facetings of the 120-cell
8. Edge and face arrangements
   • Zomable polychora and compounds
   • Non-Zomable projections
9. The Wythoff construction
   • ... in 2D
   • ... in 3D
   • ... in 4D
   • Coxeter-Dynkin graphs
10. Beyond the fourth dimension
    • Regular polytopes
    • Semi-regular polytopes
    • Geometric foldings of symmetry graphs

Side alleys:

1. Archimedean polytopes
   • Archimedean polygons
   • Archimedean solids
   • Archimedean polychora
   • Zomable Arch. polychora and Triality
   • Star Archimedeans
2. Stellations of the Rhombic triacontahedron
3. The cuboctahedron