1 Table of Contents: “... Subsets of R3 -- Finite Groups of Isometries -- The Platonic Solids -- Duality -- The Symmetry Groups...”

2 Table of Contents: “... of the affine space -- On supersingular abelian varieties -- Platonic solids, Kleinian singularities, and Lie...”

3 Table of Contents: “... -- Isometries of Euclidean space -- Classification of isometries -- Platonic solids -- Symmetry groups...”

4 “... discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos...”

5 “... is missing from Euclid's treatment of the five Platonic solids in Book XIII of the Elements. For a one...”

6 Table of Contents: “...: Ausgewählte Originaltexte -- A.1 Platon: Staat -- A.2 Archimedes: Einleitung zur Abhandlung über Spiralen -- A...”

7 Table of Contents: “... -- An introduction to resolution of singularities via the multiplicity -- Platonic Surfaces -- Coverings of rational...”

8 Table of Contents: “... of the Platonic Solids. Jörg M. Wills -- 18 Convex Polyhedra, Dirichlet Tessellations, and Spider Webs. Walter...”

9 Table of Contents: “...1 Finite Mobius Groups -- 1.1 Platonic Solids and Finite Rotation Groups -- 1.2 Rotations...”

10 Table of Contents: “... -- 10.4 The Platonic Solids -- 10.5 Symmetry Groups -- 11 Triangle Groups -- 11.1 The Euclidean Case...”

11 Table of Contents: “... -- 16.2 Similarities on Space -- 16.3 Exercises -- 17 Space and Symmetry -- 17.1 The Platonic Solids...”

12 Table of Contents: “... Polygons; 12.4 Platonic and Archimedean Tilings; 12.5 Problems...”

13 “..., er ist jedoch auch reich an Anspielungen auf die Werke Platons, Shakespeares, auf die Bibel, auf...”