Re: [math-fun] Julian has constructed a spacefill dense with sextuple points

* Bill Gosper <billgosper@gmail.com> [Aug 23. 2016 19:35]:

[...] Technically, these functions _are_ curves, being continuous images of one- dimensional sets. But people confuse curves with their graphs, and their graphs are blobs. [...]

Isn't that a non-problem resolved by differentiating between the "finite approximations" (certainly curves!) and the limits? Note how I dance around that by saying "shapes" (limits) and "iterates" (curves) in my arXiv paper. Best regards, jj