Elements, topology, and T-shirts
| dc.creator | Fraundorf, P. | |
| dc.date | 2006-03-05 | |
| dc.date.accessioned | 2026-07-07T07:07:35Z | |
| dc.date.available | 2026-07-07T07:07:35Z | |
| dc.description | 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. | |
| dc.description | 2 pages, 3 figures, 4 refs, cf. http://www.umsl.edu/~fraundor/edisc.html | |
| dc.identifier | https://arxiv.org/abs/physics/0603026 | |
| dc.identifier | http://arxiv.org/abs/physics/0603026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110445 | |
| dc.subject | Physics Education | |
| dc.subject | Chemical Physics | |
| dc.title | Elements, topology, and T-shirts | |
| dc.type | text |