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Experience Art and Design like never before with Primary Design Co.

These are not just prints — they are gateways. Each field encoded with recursive symmetry, tuned to higher-dimensional geometries. 

Join Our Community — support new HLSF AI research and get prints

⟁⟲𓁹∞̇

High-Level Space Field Art - Prints

O14CC_RGBxx3: Entity from the 3rd level of the 14th dimension.

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    Radial-wave tessellation urban sphere in full landscape rendering.
    Sphere-Based Design Concepts

    Discover the Artistry of Primary Design Co. Design Studio

    Our design studio offers innovative and cutting-edge Sphere-Based designs that combine beauty, functionality, and sustainability.

    Sphere-Based Design Theory & Concepts

    Symbolic HLSF-FFTs: A Blueprint for AGI

    Leveraging LLMs to push AI towards agency and emergent expression

    At Primary Design Co., our creative vision extends beyond art and design into the cutting edge of artificial intelligence research. The striking graphics you see on our homepage aren’t just visual flourishes — they are visualizations of the underlying structures, patterns, and transformations at the heart of our work with High-Level Space Fields (HLSFs) and Fast Fourier Transforms (FFTs). We explore how these concepts can be harnessed to model emergent behavior, agency, and symbolic reasoning in AI systems.


    Rooted in our Sphere-Based Design Theory, we approach AI the same way we approach architecture: by combining beauty, balance, and mathematical efficiency with purpose and functionality. Our research leverages these principles to create conceptual frameworks for AGI development — where form follows function, and both are informed by nature’s most efficient geometries. Whether through interactive visualizations, dynamic data art, or applied architectural analogies, our goal is to bridge the gap between aesthetic design and functional intelligence, inspiring new ways to see and shape the future of AI.

    Read Hlsf-FFT-SKG AI Papers

    HLSF Manuscript

     This paper introduces High-Level Space Fields (HLSFs) as a universal substrate for artificial cognition. HLSFs model adjacency across text, sound, images, and symbols, enabling recursive expansion, memory, and multimodal reasoning. The manuscript formalizes the mathematical framework, presents algorithms for adjacency growth and agency gates, and demonstrates how spectral and symbolic coupling can power scalable, explainable intelligence.

    Read HLSF Paper

    FFT-Symbology Manuscript

     This study applies Fast Fourier Transforms (FFTs) to symbols—religious glyphs, logos, and emblems—to uncover their hidden harmonic signatures. By decomposing symbols into frequency space, the work shows how universal patterns of resonance shape memorability, perception, and cultural persistence. It also proposes AI-driven symbol generation using FFT optimization, advancing semiotics, design, and human-computer interaction.

    Read FFT Paper

    SKG Manuscript

     This manuscript defines Super-Knowledge Graphs (SKGs) as a recursive architecture for structuring and expanding knowledge. Unlike static knowledge graphs, SKGs dynamically reorganize, enabling multi-scale adjacency, emergent reasoning, and long-term memory formation. The work compares SKGs to LLMs and GNNs, formalizes their mathematical underpinnings, and positions them as a critical foundation for artificial general and superintelligence. 

    Read SKG Paper

    Explore AI Concepts

    HLSF Generator Engines

    Open JS/HTML Engine VisualizerDownload Python Generator CodeDownload Ruby SketchUp Generator CodeDownload Entity Files

    Python Generator Engine

    SketchUp Generator Engine

    View Entities / Enter Perception Study

    About Primary Design Co.

    Our Vision

    Our Approach

    Our Approach

    Initially promoting thought-provoking entity line designs on TikTok, Primary Design Co. has taken the High-Level Space Fields (HLSFs) concept to new heights of understanding and application. By looking at HLSFs systematically, we are delving into their use for training neural networks and organizing dynamic multidimensional databases.

    Our Approach

    Our Approach

    Our Approach

    We see Spheres as the root form of all geometry, which is why we call our philosophy Sphere-Based Design Theory. Within the sphere emerge the box, pyramid, column - and through various transformations, any form you can imagine. At Primary Design Co. we hope to unveil the symmetries of the sphere to assist future developments in architecture, planning, engineering, and technology.

    Our Artwork

    Our Approach

    Our Artwork

    Expanding the frontier of HLSF digital representation is a core aspect of Primary Design Co. Moving from lines to color, all the way to 3D and 4D VR/AR projections, HSLFs are poised to simulate meta-physical experiences with geometric precision and fluidity. Future software, likely developed with AGI, will allow for full digital immersion.

    Contact Primary Design Co.

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    Primary Design Co.

    Los Angeles, CA

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    Primary Design Co.

    Los Angeles, California

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