  Consider the network of elements connected by adjacency in atomic number and
periodic table column. If all elements except H-He are connected by identical
springs and constrained to a z-spiral in 2D, a map sans spring-crossing results
for various values of rest length in units of the H-He distance. If the
z-spiral is removed, and the network allowed to relax in 3D, the resulting
surface with three holes has the topology of a T-shirt or open-handle teapot.
Mapping this to a shirt's front-back pattern yields a 2D table of elemental
inter-connects in tabular (nearly rectilinear) form. Sample applications: The
flat spiral (like other spiral patterns) might serve as basis for an
educational board game, while the T-shirt table might serve as a starting point
for ``topologically informed'' classroom periodic-table design projects with
wearable awards.
