Most of mathematical work is pictorial thinking, so it matters a lot what kind of ability you have to imagine abstract structures in your mind's eye.
The nature is a multitude of all kinds of structures. It trains our sense of sight and our pictorial memory, which we both use in mathematics, much better than anything else. It is a very natural kind of exercise, refreshing at the same time as effective training for your work.
The nature views are enermously complex: at least a hundred or a thousand times as complex as the views in the build environment. So a nature hobby gives you a great advantage for your work!
I would recommend at least a half an hour each week wandering in the nature just to enjoy its beauty. But the more, the better!
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