It’s Cozy and Cheap, but Do You Want to Live in This Social Media Magnet?

A series about how cities transform, and the effect of that on everyday life.

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In a bustling area of south London, near a busy Underground station and a web of bus routes, is a tiny house in a dumpster.

The 27-square-foot plywood

has a central floor area; wall shelves for storage (or seating); a kitchen counter with a sink, hot plate and toy-size fridge; and a mezzanine with a mattress under the vaulted roof. There’s no running water, and…