An interactive fly-through demo with fancy lighting? On Wikipedia? It might just be feasible, if XML is up to this sort of job ... current user PC's have plenty of power to run what is effectively a simple 3-D game. This might make a nice student project. But I never even got around to uploading the static paper to ArXiV yet, let alone getting it past Math. Intell. --- so don't hold yer breath! WFL On 11/12/18, Bill Gosper <billgosper@gmail.com> wrote:
On 2018-11-11 17:21, Fred Lunnon wrote:
Sadly, technological progress has relegated our early (and usually laboriously crafted) efforts to museum exhibits --- compare the demo at https://en.wikipedia.org/wiki/Dandelin_spheres
WFL And where might we find a similarly technologically ultraprogressive Wikipedient obsoletion of your laboriously crafted gosper.org/binomial.pdf ? —rwg
On 11/11/18, Bill Gosper <billgosper@gmail.com> wrote:
Eons ago, trying to prove that locus-of-constant-difference is a conic section, I reinvented Dandelin spheres, with a possibly simpler proof that does not refer to their centers nor radii. gosper.org/hyperb.GIF uses instead the lemma that all tangents to a sphere from a point are equally long. The drawing probably needs stereo vision to be convincing. I'm not sure I realized at the time that the spheres could be unequal. —rwg
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