Casper Sleep Inc. rattled the mattress industry with a bed-in-a-box that is sold only online, shipped free and comes with a 100-night guarantee.

But after three years of robust sales, Casper is finding it can no longer shun the storefront. The startup is turning next month to Target Corp. to sell pillows, sheets and other accessories — though not yet beds — in 1,200 stores nationwide.

Rumors say they are planning to open a new flagship in NYC.

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