Geometry and combinatorics are two different branches of mathematics. Does there exist any connection between them? In many cases, mathematicians solve some geometric problems by reducing them to a combinatorial language. What are the general techniques to convert a geometrical problem to a combinatorial one? What are the known examples in literature?
What will be some good references to learn these techniques?


Thanks in advance.



Bridges between geometry and combinatorics
I would recommend the work of Adiprasito, Huh and Katz:



> 
> K. Adiprasito, J. Huh, E. Katz, Hodge Theory for Combinatorial
> Geometries, Annals of Mathematics 188 (2018), 381–452. [[arXiv](https://arxiv.org/abs/1511.02888)]. [[Journal](https://web.math.princeton.edu/%7Ehuh/MatroidHodge.pdf)]
> 
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They actually use geometric intuition/techniques to solve problems in combinatorics (rather than using combinatorics to solve geometric problems).


