Polytopia

This series of two CDROM packages places geometry in a historical and scientific context.

Click here to see an independent review of the Polytopia CDROMs.

The topics covered in this package are:

• Plato's Geometrical Alchemy
• From Tessellations to Polyhedra
• Duality
• Archimedean Polyhedra
• Polyhedra and the Natural World
• A Polyhedral Universe
• Kepler's Rhombic Polyhedra
• Stellated Polyhedra
• Bucky-balls
• The Euler Characteristic.

The second CDROM continues the theme of the first in higher dimensions, from space-filling arrangements of polyhedra to the 4D equivalents of the Platonic Solids and beyond. The topics are:

• 3D Tessellations
• Crystal Lattices
• Crystals of Compounds
• The 4th Dimension
• Sections of Polytopes
• The n-dimensional Generalization
• Duality in 4D
• Stellated Polytopes
• Vertex Figures
• 4D Honeycombs