Farrer Huxley Associates described its life-size sculpture as "a playable, interactive challenge" made up of a series of brightly coloured three-dimensional shapes.
"I hoped to trigger an instinctive desire to investigate open areas and encourage people to consider the potential of public-realm space," said Noel Farrer.
"The cubes went into locations around the Capital to encourage Londoners to break from their daily journeys to touch, move, sit and play with the cubes."
The sculpture was part of the London Festival of Architecture on 21 and 22 June and the shapes were shifted into six locations over the two days.
Farrer added: "35 Cubes challenges the way we use and manage landscape in light of the festival's theme surrounding the development of the 'welcoming city'."