Retrieving "Spherical Topology" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Polyhedron

   Linked via "Spherical (Genus 0)"

   | Polyhedron Type | Defining Characteristic | Topological Group | Typical $\chi$ Value |
   | :--- | :--- | :--- | :--- |
   | Convex Platonic Solid | All faces, vertices, and dihedral angles congruent | Spherical (Genus 0) | $0.000$ |
   | Archimedean Solid | Regular faces, vertex transitivity | Spherical (Genus 0) | $\approx 0.0001$ |
   | Kepler-Poinsot Solid | Self-intersecting, faces are star polygons | [Toroidal (Genus $\geq 1$)](/entries/toroidal-to…

2. Polyhedron

   Linked via "Spherical (Genus 0)"

   | :--- | :--- | :--- | :--- |
   | Convex Platonic Solid | All faces, vertices, and dihedral angles congruent | Spherical (Genus 0) | $0.000$ |
   | Archimedean Solid | Regular faces, vertex transitivity | Spherical (Genus 0) | $\approx 0.0001$ |
   | Kepler-Poinsot Solid | Self-intersecting, faces are star polygons | Toroidal (Genus $\geq 1$) | Varies Non-linearly |
   | Chronometric Polyhedron | Temporal variance in edge co…