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A
Proposed Two-Semester Programme for Mathematics in the Architecture
CurriculumLuisa Consiglieri and Victor Consiglieri
(Spring 2003) Luisa
Consiglieri and Victor Consiglieri propose a one-year mathematics
course for architecture students. The aim of this work is to
examine the relevance of mathematics in contemporary architecture,
namely its most representative forms of cultural or sport buildings.
Because today the architectural object has a great exuberance,
as it did in the Gothic age with its ogival forms, or the Baroque
with its vaults and spherical calottes, some notions of topology
are required; the classic linear algebra and analytical geometry
are becoming inadequate for the purpose. For the education of
an architect, with a modern vision of the utility of technology,
the academic staff must understand what students lack, and promote
quality in their professional work. Indeed, it is important that
mathematics do not fall into neglect, and students might profit
from mathematics and topological geometry as previous requisites
for their imagination and poetic ability. Nevertheless, harmony,
expression, or quality of the actual worth of architectonic messages
are not explained rationally by mathematics, but by appealing
to sentiment or sensibility.
Michael Serra describes a class
project for constructing arches and examining their properties.
The objective was for students to review and apply the properties
of isosceles triangles, trapezoids, regular polygons, and of
interior and exterior angle sums. They were to practice communicating
mathematically and modeling in two and three dimensions. It is
a fun two-day activity of hands-on mathematics and problem solving.
In the Palm of Leonardo's
Hand: Modeling PolyhedraGeorge Hart (Spring 2002) George W. Hart presents
three examples of new computer-based "3D printing"
techniques for recreating the historically important polyhedral
models of Leonardo da Vinci and Luca Pacioli. It is hoped that
such models will inspire students and the public to appreciate
the history and beauty of polyhedra for architectural and other
applications.
Math-Kitecture at PS 88
Charles Bender (Autumn 2001) Charles
Bender explains "Math-Kitecture", a program for integrating,
computer, mathematics and architecture into the elementary level
curriculum. Math-Kitecture is put to use by fourth- and fifth-grade
students in New York's Public School 88.
Didactics: Proportions in
the Architecture CurriculumRoger Herz-Fischler
(Summer 2001) Roger
Herz-Fischler presents a revised version of a chapter entitled
"Proportions" that appeared in the problems part of
his book, Space, Shape and Form /An Algorithmic Approach,
developed for a mathematics course he taught in the School of
Architecture at Carleton University from 1973-1984.