For anyone worried about dust mites or bedbugs, or about cleanup after bed-wetting, conventional mattresses have a notable weakness: They’re not washable. That’s one reason Michael Rothbard, the president of Sleep Studio, created Newton Rest, a mattress company that does away with springs and foam. Its mattresses are made with a zip-off casing containing Wovenaire, a spongy, porous block of food-grade polymer developed in Japan. Once unzipped, the casing can be washed, and the Wovenaire can be hosed in the shower. The mattresses are recyclable (the company plans to accept used-mattress returns) and......

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