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This collection of papers from the Nexus 2010 conference includes three full-length research papers and ranges from the historical to the contemporary and the individual building to urban planning, exploring the nexus between mathematics and architecture.

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The Summer 2011 (vol. 13 no. 2) issue of the Nexus Network Journal features eight papers that resulted from the eighth international, interdisciplinary conference entitled "Nexus 2010: Relationships between Architecture and Mathematics, held in Porto, Portugal, in June 2010. This is the second issue of this volume that contains papers presented at the conference. In the spirit of interdisciplinarism that characterises the NNJ, the presentations range in time from the historical to the contemporary; in scale from the level of the individual building to urban design; in subject matter from pure architectural theory to building practice; and in themes from geometry and perspective to music. The aim of the NNJ is to provide a wide panorama of the relationships that exist between the disciplines of architecture and mathematics, and this issue captures those relationships in all their richness and variety.

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KIM WILLIAMS. Letter from the Editor.- LINO CABEZAS. Ornamentation and Structure in the Representation of Renaissance Architecture in Spain.- CHRIS J. K. WILLIAMS. Patterns on a Surface: The Reconciliation of the Circle and the Square.- MARCO GIORGIO BEVILACQUA. Alexander Klein and the Existenzminimum : A ´Scientific´ Approach to Design Techniques.- JOÇO PAULO CABELEIRA MARQUES COELHO. Inácio Vieira: Optics and Perspective as Instruments towards a Sensitive Space.- ELISEU GON€ALVES. The Octagon in the Houses of Orson Fowler.- TERESA MARAT-MENDES, MAFALDA TEIXEIRA DE SAMPAYO and DAVID M. S. RODRIGUES. Measuring Lisbon Patterns: Baixa from 1650 to 2010.- ANTàNIO NUNES PEREIRA. Renaissance in Goa: Proportional Systems in Two Churches of the Sixteenth Century.- JONG-JIN PARK. Dynamics of Urban Centre and Concepts of Symmetry: Centroid and Weighted Mean.- VASCO ZARA. From Quantitative to Qualitative Architecture in the Sixteenth and Seventeenth Centuries: A New Musical Perspective.- LONE MOGENSEN. Making a Difference.- MICHAEL J. OSTWALD. The Mathematics of Spatial Configuration: Revisiting, Revising and Critiquing Justified Plan Graph Theory.- BERNARD PARZYSZ. From One Polygon to Another: A Distinctive Feature of Some Ottoman Minarets.- RACHEL FLETCHER. Thomas Jefferson´s Poplar Forest.- SYLVIE DUVERNOY. Review of The Mathematical Works of Leon Battista Alberti by Kim Williams, Lionel March and Stephen R. Wassell (eds.).

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