Talk:Swiss cheese (mathematics)

Please add some detail

I don't really understand what is meant by a Swiss cheese in math. Is it the kind of fractal obtained by starting with a full closed disc (let's color it black), removing (coloring white) three open discs tangent pairwise and with the full disc, then continuing to remove from the black area open discs tangent in three points with the black-white border, until in the countable infinite limit nothing is left except maybe a countable infinity of, er, of what ? I think a cobweb of black circles. No, I think in this case the sum of the radii would not be finite, and the resulting interior would never be empty even though its area would tend toward zero. What then ? Please give an example of how to start constructing a "mathematical Swiss cheese" then, or maybe several different ones. — Tonymec (talk) 15:50, 26 August 2024 (UTC)