The Pierre Teilhard de Chardin Complex is the particular construction project associated with the Paradox Program. During their stay at Arcosanti, Paradox Program participants, under the supervision of the Cosanti Foundation's construction staff, will spend a part of each of their workday building the complex.

The complex is named for the Jesuit priest, paleontologist, geologist and poet who cut across all disciplines in his attempt to discern a pattern in evolution which would give some indication of our own human future. In the 1940's Teilhard presented the idea of the Noosphere. Many philosophers and members of the digital media community see Teilhard's Noosphere as an anticipation of cyberspace and the internet.

Located on the south slopes of Arcosanti, the complex is in three parts. The centerpiece is the Pierre Teilhard de Chardin Cloister. It contains retreat facilities including meeting rooms, accommodations, an amphitheater, galleries and offices, as well as the residences, studios and workspace for Paradox Program participants.

La Loggia is a residential and overnight accommodations facility below the pool deck and part of the third component of the Teilhard complex, the Greenhouses.

The Greenhouses, Arcosanti's Energy Apron, are a significant experimental design element in the plan for Arcosanti. The natural movement of collected warm air up through the sloping greenhouses will furnish passive solar heating to La Loggia and the East Crescent Complex and allow the production of herbs and vegetables for Arcosanti throughout the year.

Funding to build the complex will come not only from Arcosanti's traditional sources of small public donations through tours, royalties from bell sales and tuition from educational programming, but also from the Paradox Program itself and the participants.