RESEARCH. CONCEPT. PRODUCTION.

foundational design approach

Research Studio

protoCtrl is a research-driven studio exploring the intersections of geometric principles, mathematical structures, and artistic expression. Our work emerges from sustained investigation into the relationships between abstract mathematical concepts and their manifestation in physical form.

Research Methodology

Our investigations begin with fundamental questions about geometric structures and their potential for artistic expression. Through rigorous mathematical exploration and experimental prototyping, we develop new approaches to translating abstract concepts into tangible forms. This process often involves collaboration with mathematicians, artists, and researchers who bring diverse perspectives to our investigations.

Concept Development

The development of new ideas emerges through an iterative process of theoretical research and physical experimentation. We employ both traditional techniques and advanced computational methods to explore geometric principles, creating a dialogue between mathematical precision and artistic intuition. This approach allows us to discover unexpected connections and possibilities within geometric systems.

Realization

The physical manifestation of our research combines traditional craftsmanship with innovative fabrication techniques. Through careful attention to material properties and construction methods, we transform theoretical concepts into experiential installations and sculptures that engage with space and perception.

Visualization of Hopf fibration mathematical structure

Geometric Research

Visualization study of the Hopf fibration, exploring four-dimensional geometric structures

Conceptual model exploring polyhedric systems

Conceptual Development

Physical model exploring relationships between geometric systems and natural phenomena

Installation view of parametric design project

Artistic Implementation

Collaborative installation integrating parametric design principles with spatial experience

Areas of Investigation

Theoretical Research

  • Geometric topology and manifolds
  • Computational geometry
  • Physical simulation
  • Generative systems
  • Material behavior studies

Development Methods

  • Mathematical modeling
  • Parametric design systems
  • Physical prototyping
  • Material experimentation
  • Spatial analysis

Implementation

  • Digital fabrication
  • Construction documentation
  • Assembly systems
  • Installation methods
  • Quality assurance

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