Golnaz MohammadiDesign Machine GroupUniversity of Washington

Ubicomp Design Generator (UDG)End-user-programmable archiving and interface system

Outline

• Objective, Goal, and Motivation• UDG Concept• Related Work• My applets• Future Work and Conclusion

Objective:

To generate recursive shapes, using an end-user-programmable archiving and interface system that the designer may use to manipulate codes to change shapes and patterns.

Goal:

To create a wide variety of shapes and patterns ranging from Classic Roman, Greek, Islamic architecture, to the work of Peter Eisenman, and Greg Lynn, as well as shapes and patterns of nature.

Islamic architecture examples:

Geometric patterns are a norm in Islamic architecture

Friday Mosque at Herat in Afghanistan

The wall shown here is divided into a number of panels, each with its own distinctive pattern. Each area has its own logic, and there is a larger logic that relates them all together. The same logic, the same principles, apply to any medium - textiles, ceramics, woodwork, metalwork, and on any scale.

Islamic architecture examples

• The star, six, eight, sixteen or more points, is one of the fundamental and ubiquitous shapes of Islamic geometrical design. It can be used equally in two dimensions or in three, to transform a dome into a complex net of inter-linked surfaces or to decorate timber and bronze fittings inside the buildings.

• Circle as the basis for the generation of patterns and applying the principles of repetition, symmetry and change of scale to create a bewildering variety of effects Ceiling of the tomb of Hafiz in Shiraz.

A Geometrical Pattern

Surfaces, curved or flat, in brick or stucco, are covered by designs that are infinitely expandable. Patterns are rendered visible from a distance by contrasts of plane which permit the play of light and shade.

The circle as the basis for the generation of patterns

A richly fashioned ceiling in the 'Ali Qapug pavilion'

A Geometrical Pattern

Display of cellular organic decoration

Display of geometric decoration

Islamic architecture examples, Cont’d

Classic architecture use of geometry examples:

• Polygons, Tiling, Geometry

Design at Pompeii

The Mosaic Decoration of San Marco, Venice.

Tilling or tessellations refers to the complete covering of a plane surface by tiles. There are all sorts of tiling, the simplest kind is, tiling with regular polygons.hexagon is a kind of polygon

Six circles will fit around a seventh, of the same diameter, dividing the circumference into 6 equal parts, and the radius of a circle exactly divides the circumference into six parts.

Getty PavementPompeii Tiling with equilateral triangles

Fractal Characteristics of the Gothic

window of Mary’s-chapel

Peter Eisenman and Fractals• Eisenman exhibited his House

(11a) for the first time, in July of 1978, House (11a) became a motif in Eisenman's housing, Eisenman appropriated the concept of fractal scaling - a process that he describes philosophically as entailing "three destabilizing concepts: discontinuity, which confronts the metaphysics of presence; recursively, which confronts origin; and self-similarity, which confronts representation and the aesthetic object."House 11a, a composition of Eisenman's then signature "L"s combines these forms in complex rotational and vertical symmetries. The "L" is actually a square which has been divided into four quarters and then had one quarter square removed.

House 11a

House X

Greg Lynn Blebs

• http://www.glform.com/

Motivation:

To efficiently Generate shapes and patterns with any design style using Algorithmic Geometry

Ubicomp Design Generator (UDG) concept:• Use algorithmic geometry to generate forms•Use transformation rules to generate a new forms• Design more complicated shapes and patterns• Generate shapes and patterns similar to what we see in nature• More efficient design process• Introduce computer programming as a new tool for artist and architects• Promote use of computer programming to regenerate geometric concepts for architects• Ease of use for the not so savvy computer users • Provide an algorithmic geometry library system • Attention to architectural details by ease of computer programming use

Related Work

ArchiDNA Doo YoungArchiDNA uses a simplified code syntax which can be translated into Java code to generate 2D or 3D images, which runs in Java applets. These applications enable designers to use a computer to algorithmically generate shapes and forms. Doo Young approach in ArchiDNA enables defining a certain design style of shape generation which looks like Peter Eisenman design style ArchiDNA is an easy-to-use generative system for making various shapes configurations. .

Related WorkForm WriterA Little Programming Language for Generating Three-Dimensional Form AlgorithmicallyMark D. GrossDesign Machine Group, Department of Architecture, University of Washington

FormWriter is a simple and powerful programming language for generating three-dimensional geometry, intended for architectural designers with little programming experience to be able to generate three dimensional forms algorithmically without writing complex code. FormWriter’s main features include a unified coding and graphics environment providing immediate feedback and a “flying turtle” - a means of generating three dimensional datathrough differential geometry.

Example of forms generated with form writer

Related WorkArtiE-FractJonathan Chapuis, Evelyne Lutton

ArtiE-Fract evolves a population of fractal pictures, and displays it via an interface. More precisely, these fractal pictures are encoded as sets of contractive non-linear 2D functions, defined either in Cartesian or polar coordinates. Each set of these contractive functions represents an IFS (Iterated Functions System), which is visualized as a particular 2D picture, its attractor.

a direct interaction: pictures can be manipulated via a specialized window and modified IFS can be added or replaced in the current population (this is a sort of interactive "local" deterministic optimization). A large set of geometric, colorimetric, structural modification are available. Moreover, due to the IFS model, some control points can be defined on the attractor pictures (fixed points) that help to distort the shape in a convenient, but non trivial, manner.

Example of pictures generated with AE

Pictures generated with ArtiE-Fract

The Categories

• Fractal, chaos• Curves • Surfaces The Mandelbrot the most well-

known fractal

Chrysanthemumcurve

Blob surface

Fractals subcategories

RosslerAttractor

Lorenz AttractorRandom AttractorsDuffing Attractor

Henon Phase Diagrams

Quaternion JuliaWallpaperHenonAttractor

Fractals subcategories, cont’d

MandelbrotStar Julia Newton Raphson

Keplerian Fractals Van Koch Snowflake Tiled Dragon

Fractals subcategories

Fuzzy Logic IFS tileFractal fields

IFS treeIFS leave

Fractals subcategories

L-systems L-systems

Curves Subcategory

Cassini OvalKnots

Super ShapeHarmon graph Butterfly curve

Fermats Spiral

Surface Subcategories

3D SuperShape Gerono lemniscate Triaxial Tritorus

Barth sexticCayley surfaceKusner Schmitt

My Applets:

http://courses.washington.edu/dxa430/finalAu2003/golnaz/index.html

these are examples of discovered fractals in nature.

MountainsCauliflowersLightningLeaf veins

TreeFernCloudsBryce Canyon

StalagmiteJupiterIoEuropa

End of the SHOW!