File:Non-fictino cluster with dual colorings.svg

Fiction cross-reference

• Non-fictino - In the field of hypothetical drama, a non-fictino is an impossible persona.

Nonfiction cross-reference

The compact group of 2-adic integers (black points), with selected elements labeled by the corresponding character on the Pontryagin dual group (the discrete Prüfer 2-group) (colored discs). Counter-clockwise from the right, the labeled elements are 0, 4, 2, −3, 1, −1/7, −1/3, 1/3, 1/7, −1, 3, −2, and −4. Open the SVG directly in your browser to get tooltips on group elements. Each colored disc is tied to a 2-adic integer, , and it represents the corresponding character on the Prüfer 2-group, , defined by . The circle group is represented by a color wheel where 0 = red. For details on the embedding of the 2-adic integers, see Chistyakov, D. V. (1996), “Fractal geometry for images of continuous embeddings of p-adic numbers and solenoids into Euclidean spaces”, in Theoretical and Mathematical Physics, volume 109, issue 3, DOI:10.1007/BF02073866, pages 1495–1507 The particular mapping used is , defined in Definition 3 and depicted in Figure 1.

Attribution:

By Melchoir - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=18406119