Moduli Spaces of Pentagonal Subdivision Tilings

Abstract

Pentagonal subdivision gives three families of edge-to-edge tilings of the sphere by congruent pentagons. Each family forms a two dimensional moduli. We describe the moduli in detail.

39 pages, 22 figures

References in corpus (3)

• Spherical Tiling by 12 Congruent Pentagons
• On Deformed Dodecahedron Tiling
• Tilings of the Sphere by Congruent Pentagons II: Edge Combination $a^3{b}^2$