Foreword : Weapons of the gods / Brett Steele -- Introduction : Mathematics and design -- Mathematical surfaces and seriality : Australian Wildlife Health Centre, Healesville Sanctuary, Australia / Minifie Nixon ; Beijing International Airport / Foster + Partners ; Inversion modelling, Wolverhampton, UK / John Pickering -- Sagrada Família, Barcelona, Spain / Antoni Gaudí ; Main Station Stuttgart, Stuttgart, Germany / Ingenhoven Architects ; Disney Concert Hall, Los Angeles / Gehry Partners ; Abu Dhabi Airport, Abu Dhabi, UAE / Kohn Pedersen Fox -- Chaos, complexity, emergence : Federation Square, Melbourne, Australia / Lab Architecture Studio ; Louvre Abu Dhabi, Abu Dhabi / Ateliers Jean Nouvel ; Jyväskylä Music and Arts Centre, Jyväskylä, Finland / Ocean North ; Seroussi Pavilion, Paris / Biothing -- Packing and tiling : Battersea Power Station, London / Arup AGU ; The Water Cube, Beijing / PTW Architects ; Grand Egyptian Museum, Cairo / Heneghan Peng ; The Spiral Extension, Victoria & Albert Museum, London / Daniel Libeskind ; Storey Hall, Royal Melbourne Institute of Technology, Australia / Ashton Raggatt McDougall ; Spanish Pavilion, Expo 2005, Aichi, Japan / Foreign Office Architects ; Centre for Ideas, Victoria College of the Arts, Melbourne, Australia / Minifie Nixon -- Optimization : British Museum Great Court, London / Foster + Partners ; Smithsonian Institution, Washington, D.C. / Foster + Partners ; Qatar Education City Convention Centre, Doha, Qatar / Arata Isozaki ; Melbourne Rectangular Stadium, Australia / Cox Architects ; Island City Central Park, Fukuoka, Japan / Toyo Ito ; The Pinnacle, London / Kohn Pedersen Fox ; Al Raha Development, Abu Dhabi / Foster + Partners ; Melbourne Recital Centre, Australia / Ashton Raggatt McDougall -- Topology : Möbius House, Het Gooi, Netherlands / UN Studio ; Arnhem Central, Arnhem, Netherlands / UN Studio ; Paramorph II, London / Decoi Architects ; Cape Schanck House; Blowhouse: Life support unit, Mornington Peninsula, Victoria, Australia / Paul Morgan Architects ; Slavin House, Venice, California / Greg Lynn ; Klein Bottle House, Mornington Peninsula, Victoria, Australia / McBride Charles Ryan ; Möbius Bridge, Bristol, UK / Hakes Associates ; Villa Nurbs, Girona, Spain / Cloud 9 Architecture ; National Museum of Australia, Canberra, Australia / Ashton Raggatt McDougall ; Metropolitan Opera House, Taichung, Taiwan / Toyo Ito -- Datascapes and multi-dimensionality : De Draai extension, Heerhugowaard, Netherlands / Karres En Brands ; freshHtwoOexpo, Zeeland, Netherlands / NOX Architects ; Streaming House, Melbourne, Australia / Minifie Nixon ; Aegis Hyposurface, Birmingham, UK / Decoi Architects ; Spoorg, Los Angeles / SERVO ; Hotel Prestige Forest, Barcelona, Spain / Cloud 9 Architecture ; Yas Hotel, Abu Dhabi, UAE / Asymptote ; Muscle ReConfigured + Interactive Wall, Delft, Netherlands / Hyperbody ; Digital Water Pavilion, Zaragoza, Spain / Carlo Ratti Associati.