How to plot tropical varieties?

Question

I'm reading "Introduction to Tropical Geometry" by Maclagan and Sturmfels and wanted to do some plotting myself of different tropical varieties in both 2D and 3D. On my computer, I have installed Polymake and SAGE (which should contain Gfan). I have tried reading the documentation for both programs but find them hard to follow. Does anyone have a more elaborate guide to plotting tropical varieties or maybe some examples of code?

Answer 1

Here are two references, which contains guides and examples in Polymake:

• Appendix C in Essentials of Tropical Combinatorics by Michael Joswig.

• Tropical Computations in Polymake by Simon Hampe and Michael Joswig.