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Paracube Reinvented

Formulation of New Spacetime Frame through 4D Coordination


Published in WORK 2010-11
PennDesign Visual Studies I
Advisor: Simon Kim and Serra Kiziltan
Fall 2010


"Space is no longer innocent. Under the impact of science and technology, ordinary space has become just a subset of a composite "newspace" that interweaves local, remote, telepresent, interactivated, and virtual spacetime into the new spatial continuum that is the focus of emerging transarchitectures. Physically, this installation consists of four interrelated parts : a) a large scale video projection of liquid forms derived from mathematical explorations of virtuality ; b) a physical model captured from the fluctuating projected virtual forms ; c) a sensor-created, invisible, interactive sculptural form, and ; d) a generative, interactive soundscape that weaves the previous three together." (Novak, ZeichenBau : Virtualités réelles, 2000)


A tesseract, or the 16-cell cuboid, is defined by six parametricsurfaces, each with its own coordinate system. It is manipulated to create two forms: a skeletal frame and a fluctuating skin. They are mathematically extruded or imploded into the fourthdimension by adding a fourth coordinate system to every 3Dpoints. A tesseract has 16 polytope vertices, 32 polytope edges,24 squares, and eight cubes evolving in it. Whereas Novak remain in the realm of virtual or liquid architecture, I propose a model that can be physically generated as a capsule unit by assigning coordinate value to the liquid surface that is hung from the virtual tesseract framework.


The form emerges from its xyzw movement creating spaces that warp, explode, implode, and regenerate. The research in geometry continue in the concurrent studio project, (Para)Scape with n+1 growth and decay.



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