These references may be related to 2003, Andrei Okounkov, ‘The uses of random partitions‘, especially section 5.2.2 Construction of the minimizer.

I think I have referenced this paper before.

Zur Izhakian, ‘Duality of Tropical Curves‘, 31 pages, 4 figures, 2005

Some figures appear to link to honeycombs?

Tropical is usually an alternative name for Min-Plus Algebra, but Max-Plus is discussed.

http://arxiv.org/abs/math/0503691

Zur Izhakian, ‘Tropical Varieties, Ideals and An Algebraic Nullstellensatz’, 27 pages, 2 figures, 2005

http://arxiv.org/abs/math/0511059

Daniele Alessandrini, ‘Amoebas, tropical varieties and compactification of Teichmuller spaces’, 41 pages, 2005

“… every polynomial relation among trace functions on Teichmuller space may be turned automatically in a tropical relation among intersection forms over the boundary.”

http://arxiv.org/abs/math/0505269

Amoeba (mathematics): “In mathematics, an amoeba is a set associated with a polynomial in one or more complex variables. Amoebas have applications in algebraic geometry“ are also discussed in the above references.

http://en.wikipedia.org/wiki/Amoeba_%28mathematics%29

Zur Izhakian,2004, also has ideas about:

Algebraic Curves in Parallel Coordinates – Avoiding the “Over-Plotting” Problem

http://arxiv.org/abs/cs/0403005

and

New Visualization of Surfaces in Parallel Coordinates – Eliminating Ambiguity and Some “Over-Plotting”

http://arxiv.org/abs/cs/0403004