What's the difference between this and a polyhedral torus? [ Eg. 20-face "polytore" from math-fun Sep. '09 ] Or is this asking for one-sided (immersed) polyhedra? WFL On 10/30/15, James Propp <jamespropp@gmail.com> wrote:
Yes, and moreover, I want the polyhedron to be flattenable to an ordinary rectangle. (Though I suppose that if one can reduce the number of faces by dropping this constraint, that'd be worth knowing.)
Jim
On Fri, Oct 30, 2015 at 5:51 PM, Dan Asimov <dasimov@earthlink.net> wrote:
I suppose this question is about a Moebius strip embedded in R^3 as a polyhedron (a union of planar triangles that can intersect pairwise in only an edge, a vertex, or the empty set. Yes?
—Dan
P.S. Please note correct spelling of Moebius (unless you can use an umlaut).
On Oct 30, 2015, at 8:14 AM, James Propp <jamespropp@gmail.com> wrote:
In a similar vein we can ask, What's the smallest possible number of faces a Mobius strip can have? You are permitted to use a rectangle of any aspect ratio you like.
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