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math.CO2011
Embedding a pair of graphs in a surface, and the width of 4-dimensional prismatoids
Francisco Santos
A prismatoid is a polytope with all its vertices contained in two parallel facets, called its bases. Its width is the number of steps needed to go from one base to the other in the…
math.CO2011
An Euler characteristic proof that 4-prismatoids have width at most 4
Tamon Stephen, Hugh Thomas
We show that there is no 4-dimensional analogue of the 5-prismatoids used in Santos' recent counterexample to the Hirsch conjecture.