On 6/28/15, David Wilson <davidwwilson@comcast.net> wrote:
Really, all I want is a stabile hanging in my office consisting of circular wire rings of equal radius (in rainbow colors) welded together with Fano connectivity and otherwise not touching one another.
It's not like I'm hard to please. You would think I had asked for circular Borromean rings. Sheesh.
I had fantasised off-and-on about 7 unit hoops connected via some sort of 3-way universal sliding joints, assembed into a configuration already known (EPJ, FWH etc.), then perturbed manually. The problem is these pesky (2-ring) collisions, which almost certainly immobilise the thing straight away, unless the hoops have been a priori interlocked in some hard-to-predict fashion. I have also speculated (at greater length) about a geometry viewer permitting construction of mechanisms with similar specified constraints, followed by arbitrary user-driven perturbations within the remaining freedom. There may well be some physics/engineering simulation package out there suitable: I have never seriously investigated. With one of them you could have your "stabile" mobile on your screensaver as well! WFL
-----Original Message----- From: math-fun [mailto:math-fun-bounces@mailman.xmission.com] On Behalf Of Fred Lunnon Sent: Saturday, June 27, 2015 6:33 PM To: math-fun Cc: Ed Pegg Jr Subject: Re: [math-fun] Fano Plane puzzle
[Stuff I took out]
Won't please DWW then, but might appeal to RWG instead.
Fred Lunnon
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