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TOT 028 1982 Autumn S2 polyhedron existence given list of edges

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August 18, 2019
polyhedron3D geometrygeometrycombinatorial geometry

Problem Statement

Does there exist a polyhedron (not necessarily convex) which could have the following complete list of edges? AB,AC,BC,BD,CD,DE,EF,EG,FG,FH,GH,AHAB, AC, BC, BD, CD, DE, EF, EG, FG, FH, GH, AH.
http://1.bp.blogspot.com/-wTdNfQHG5RU/XVk1Bf4wpqI/AAAAAAAAKhA/8kc6u9KqOgg_p1CXim2LZ1ANFXFiWgnYACK4BGAYYCw/s1600/TOT%2B1982%2BAutum%2BS2.png
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