segunda-feira, 31 de agosto de 2009

Michal Piasecki’s blog

deriving methodology from classics
I’ve been working for the Msc AAC on a paper which looks at the possibilities of devising a research methodology based on D’Arcy Thompson’s Cartesian Transformations Method (”On Growth and Form”, 1918), which would be relevant to the call for science of buildings expressed in Philip Steadman’s “Evolution of Designs” (1979). The above is a quick processing sketch written in order to visualize the first step of the imagined “Transformations Method”. The base drawing is a floor plan of Paris Opera House, which comes from Durand’s comparison of the forms of theaters contemporary to him, done in 1801. Steadman refers to Durand’s work when he discusses the notion of classificatory analogy in his book.

Alan Mathison Turing

British mathematician, logician, cryptanalyst and computer
Turing worked from 1952 until his death in 1954 on mathematical biology, specifically morphogenesis. He published one paper on the subject called "The Chemical Basis of Morphogenesis" in 1952, putting forth the Turing hypothesis of pattern formation.[30] His central interest in the field was understanding Fibonacci phyllotaxis, the existence of Fibonacci numbers in plant structures. He used reaction–diffusion equations which are now central to the field of pattern formation. Later papers went unpublished until 1992 when Collected Works of A.M. Turing was published.

quinta-feira, 20 de agosto de 2009

Owen Jones (1856) The Grammar of Ornament

English designer, architect, and writer, best known for his standard work treating both Eastern and Western design motifs, The Grammar of Ornament (1856), which presented a systematic pictorial collection emphasizing both the use of colour and the application of logical principles to the design of everyday objects.

quarta-feira, 19 de agosto de 2009

Paulus Gerdes (1999) Geometry from Africa: Mathematical and Educational Explorations

This book draws on geometric ideas from cultural activities from Subsaharan Africa, and demonstrates how they may be explored to develop mathematical reasoning from school level through to university standard. Paulus Gerdes provides a thoroughly illustrated and researched exploration of mathematical ideas, motifs and patterns. Many important mathematical points are brought to the fore, not via the formal 'theorem-proof' method, but in a more schematic and diagrammatic manner. African artifacts, oral traditions, sand drawing and other forms of artwork with a geometric basis, all provide mathematical ideas for discussion in this unique book. Mathematicians and teachers of mathematics at all levels will be fascinated, as will anybody with an interest in African cultures.

Paulus Gerdes, New designs from Africa

Inspiration from Angolan traditional designs

He has been analysing mathematical properties of traditional ideo and pictograms of the Tchokwe population in Angola. These drawings were traditionally done in sand, and were used to illustrate stories the men told at evening gatherings, around the communal fires in the village or at hunting camps. Young boys would learn the easier stories and accompanying designs, but only the storytellers, who were highly esteemed for their knowledge, and formed an elite, knew many more.
Paulus Gerdes (2007) Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries

Peter Engel Origami Patterns

The Chinese invented the paper folding art of origami over 1000 years ago, and they endowed it with the aesthetic principies that are at the heart of their culture. As Peter Engel, an American master of the art, says, "the success of a completed figure depends on the creator's eye for form—is it a mere likeness of the original, or does it delve deeper into the form's essential character?" [Engel, 1988]

Engel points out that origami has been taken up in this country by mathematicians rather than artists. He says: "To the mathematician, the beauty oforigami is its simple geometry. Latent in every pristine piece of paper are undis-closed geometric patterns, combinations of angles, and ratios that per-mit the paper to assume interesting and symmetrical shapes."An origami figure always begins with a single square piece of paper. Only folding, with no cutting or pasting, is permitted.

in: Jay Kappraff (1990) Connections. The geometric bridge between art and science.

Origami by Peter Engel

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segunda-feira, 17 de agosto de 2009

Nate Andrysco

Urban Grammar
A continuation of the AMUSE project which deals with visualizing large urban
environments. In Urban Grammar, a 2D map of a city is parsed to detect roads, land
boundaries, and building outlines. The parsing creates a unique grammar which
describes the city. Once the information is obtained, we can then derive new cities in the
style of the original using the grammar. This process includes how to obtain the
boundary data, how parsing is conducted, and how derivations are done. It will also be
shown how cities may be edited so that a city planner may use this tool for his work.
Issues involved in editing are grammar simplification, region similarity estimation, and ngon
to m-gon mapping. Grammar simplification greatly helps reduce the number of
computations needed during derivation. Similarity estimation is an essential tool needed
in derivations and most phases of editing. N-gon mapping is used to project texture
coordinates from a region in the original city to a new, possibly deformed, region in the
edited city.

sábado, 1 de agosto de 2009

Eudardo Westphal(2007)

A Linguagem da Arquitectura Hospitalar de João Figueiras Lima
Orientador: Benamy Turkienicz
This work aims at describing the elements that characterize the architectural language of João Filgueiras Lima, Lelé, developed for the Sarah Network of Hospitals for the Locomotor System, looking for the identification of attributes that assign identity to his projects and allow creativity despite of using an industrialized construction system. The analysis reached spatial articulation, using Space Syntax; the composition of shapes and their articulation, using Shape Grammars’ concepts; and the articulation of building components, using Color Grammars concepts. The identified attributes allowed the description of a genealogy of design procedures applicable to the synthesis of the language of Lelé. Such attributes are integrated into ways for coding a Genetic Algorithm that maps new solutions under the described language and the constraints of the hospital program and the industrialization process. The understanding of such genealogy finds applications both in professional practice and architectural design teaching. The conclusions of this work suggest the further development of the analysis, looking for a more complex algorithm able to search for fitter solutions