12 Jan
2014
12 Jan
'14
10:41 a.m.
I was momentarily confused by "ex caeruleo" -- but then the light dawned. Looking at the paper I notice that the statement is for a N-dimensional polytope in R^N whose group of "proper" symmetries (rotations) is edge-transitive. So this would not apply to a rhombus in the plane. --Dan On 2014-01-12, at 8:37 AM, Adam P. Goucher wrote: . . .
http://arxiv.org/pdf/1210.1446v1.pdf
Note that the claimed result is actually false; consider projecting a rhombus onto a diagonal, for instance. Even if it were true, it would surely be a trivial application of Huygens-Steiner or some variant thereof. . . . So, why has this person contacted me ex caeruleo?