Dear Colleagues,
A version of this:
http://people.math.gatech.edu/~ghomi/Pa ... otices.pdf
has appeared in the most recent issue (Jan. 2018; pp. 2527) of the Notices of the American Mathematical Society (I got my print copy but it still is not posted on the AMS web page).
While I think Geoffrey Shephard deserves to have this question named after him rather than Durer, there is no doubt that Durer did discuss the notion of nets for polyhedra, even if he did not explicitly pose the question of whether every 3dimension convex polyhedron has a net which can be obtained by cutting along the edges of a spanning tree of the polyhedron. Very tantalizing question, still, with lots of variants to think about.
Regards,
Joe
Edge unfoldings of convex 3dimensional polyhedra
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Edge unfoldings of convex 3dimensional polyhedra
Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451
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Department of Mathematics
York College (CUNY)
Jamaica, New York 11451
email:
malkevitch@york.cuny.edu
web page:
http://york.cuny.edu/~malk
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