Torre Espacio

Torre Espacio

Pei Cobb Freed & Partners

Reid Fenwick Associados
Madrid, Spain
Project Year

Torre Espacio

Pei Cobb Freed & Partners as Architecture, exterior envelope, interior design of public spaces

Torre Espacio occupies an exceptionally privileged site on the most important avenue in Madrid, Spain. The program consists of 43 office floors, two corporate floors at the top of the tower, 3 floors of commercial spaces at the base of the building, and 6 levels of underground parking. Besides providing efficient and attractive office space, Torre Espacio is designed to energize the space in which it stands and animate the skyline of Madrid.


The design of Torre Espacio evolves from a square plan at its base to a gently curved lozenge, shaped by the intersection of two quarter-circles, at its crown. Were this a work of sculpture, such a form could readily be carved from a solid block of stone. But as a work of architecture, its intersecting curved surfaces are necessarily composed of many separate panels that must be individually fabricated and assembled. Hence there was a need to discover and adopt a geometric order that can rationalize and facilitate the desired evolution from square to quarter-circle. We have found this order by subdividing the building section into 44 horizontal layers and then subdividing each quarter-circle of the plan into an equal number of radial segments. The intersections of successive layers in section with successive segments in plan define points along a vertical curve. Because the mathematical formulae describing this curve are based on the cosine, we call it a cosine curve. 


An important characteristic of the cosine curve is that while it simplifies fabrication and assembly of the curtain wall, its rate of curvature is not constant but rather changes gradually over its entire length. This gives the resulting tower form its distinctive and visually appealing sense of energy, almost as if it were a living organism that has sprung from the earth on which it stands.


On a 7,500 m2 site, Lot 4 of the Plan Parcial de Reforma Interior “Ciudad Deportiva”     


Building Type:                   

Office Tower


Gross Building Area:

75,250 m2 above grade, 45,000 m2 below grade

1,810 m2 largest office floorplate

1,240 m2 smallest office floorplate



Torre Espacio Castellana S.A.

Grupo Villar Mir               


Time Frame:

Planning commenced: 2001         

Construction start: 2004

Construction completion: 2006



Pei Cobb Freed & Partners Architects LLP

Henry N. Cobb, Design Partner

José Bruguera, Associate Partner (Project Architect)

Sherry Lin, Associate (Job Captain)


Associate Architect:          

Reid Fenwick Asociados



Structural Engineers: MC2  Madrid, Spain

        HVAC Engineers: PROMEC  Madrid, Spain

        Mechanical Engineers: R. Úrculo Ingenieros Consultores  Madrid, Spain 

Project team
Architecture, exterior envelope, interior design of public spaces
Associate Architect
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