I like that one. The little sail-shaped portion of the figure on which the points lie is clearly isomorphic to the standard triangular picture of the Fano plane.
-----Original Message----- From: math-fun [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Allan Wechsler Sent: Tuesday, June 23, 2015 6:25 PM To: math-fun Subject: Re: [math-fun] Fano Plane puzzle
That's pretty convincing.
On Tue, Jun 23, 2015 at 6:13 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
On 6/23/15, Dan Asimov <asimov@msri.org> wrote:
By the way, is this 4th point's closeness really a problem?
It's largely an aesthetic matter: such collisions do make the diagram difficult to interpret.
And, is it really close in R^3 or only close in the displayed projection?
Note that all configurations so far constructed by myself are _planar_!
[ DWW has raised the question of whether they might be "shaken out" (as it were) so as to properly occupy 3-space --- which appears likely, though I do not currently know for sure. ]
Just clicked on this but got a 404 "The file you are looking for has either moved or been deleted: error."
Synching error apparently --- try instead https://www.dropbox.com/s/jeyqj76ng4z42s7/fano7pt7rg_2.gif?dl=0
WFL
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