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Nexus II: Architecture and Mathematics
is the second volume in the Nexus series, following
the first volume published in 1996. The aim of
this collections of essays is to present a broad
definition of the ways in which two seemingly
different disciplines are interconnected. Included
are papers concerned with families of numbers
that lend themselves to the creation of proportional
systems, such as the "equiangular numbers",
the influence of African arts and crafts on architecture,
the architectural significance of geometric constructions,
aperiodic and periodic tilings in Australian architecture,
the use of mathematics in the development of structural
techniques, and mathematics in the urban fabric
of Venice. The mathematical nature of the architecture
of Leon Battista Alberti, Andrea Palladio and
Frank Lloyd Wright is examined, and the philosophical
background behind Renaissance architecture is
explored. The diversity and varied texture of
the essays richly illustrates the affinity between
architecture and mathematics. Contributors come
from a wide range of disciplines and cultural
backgrounds: mathematicians from France, the United
States, Argentina, Mozambique and Italy; architects
from the United States and Australia; engineers
from Italy and Germany; philosophers and religious
from Italy and Germany. Architecture may be seen
and understood in a new light, by professionals
as well as non-professionals.
CONTENTS
Henry Crapo and Claude Le Conte de Poly
Barbut. "Equiangular Numbers."
Leonard K. Eaton. "Fractal Geometry
in the Late Work of Frank Lloyd Wright: the Palmer
House."
Michele Emmer. "La Venezia Perfetta: the
Geometry of the City."
Holger Falter. "The Influence of
Mathematics on the Development of Structural Form."
Marco Frascari and Livio Volpi Ghirardini.
"Contra Divinam Proportionem."
Paulus Gerdes. "On Some Geometrical
and Architectural Ideas from African Art and Craft."
Ben Nicholson, Jay Kappraff, Saori Hisano.
"The Hidden Pavement Designs of the Laurentian
Library."
Michael J. Ostwald, "Aperiodic Tiling,
Penrose Tiling and the Generation of Architectural
Forms."
Salvatore di Pasquale. "Leon Battista
Alberti and the Art of Building."
Gert Sperling. "The 'Quadrivium'
in the Pantheon of Rome."
Vera W. de Spinadel. "The Metallic
Means and Design."
Graziella Federici Vescovini. "Nicholas
of Cusa, Alberti and the Architectonics of the
Mind."
Stephen R. Wassell. "The Mathematics
of Palladio's Villas."
"The contributions in this book are sometimes
the results of collaboration between scholars
in diverse fields, but even in the work of individual
scholars there exists a strong tendency towards
a plurality of points of view, as though all the
contributors have noted that mathematical thought
attempts to weave various ways of rationalising
into a whole whose deeper nature still remains
elusive." Roberto Di Martino, reviewer.
Lettera Matematica Pristem, vol. 29.
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