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We're going to do something very similar to this in between our raised beds to grow pea plants on this summer. It will be like a living tunnel for the kids to play in.
Spread mulch over the paths between your raised beds and your feet will stay clean, no matter how wet the weather. Because you won't walk on the beds, you'll be able to run out to grab a handful of fresh basil for dinner without worrying about compacting the soil.