Building a Dual of a 4-Frequency Octahedral Geodesic Sphere

My latest build is a Dual of a 4-Frequency Octahedral Geodesic Sphere — a glowing geometric sculpture made from layered acrylic, custom 3D-printed internal connectors, and individually addressable WLED pixel lights. The finished piece has 66 faces, 192 edges, and 128 vertices, with an LED pixel positioned at every single vertex to create a fully illuminated geometric network.

At night, the entire structure comes alive.

The Concept

I’ve always been fascinated by polyhedrals, geodesic structures, and illuminated forms. For this build, I wanted to experiment with edge lighting and layered materials to create something that looked almost digital or alien when powered on.

The goal was simple:

  • Use acrylic faces that would glow from the edges
  • Hide the structure and wiring internally
  • Create a modular assembly system
  • Make the geometry itself become the lighting effect

The result is a glowing sphere that feels somewhere between mathematical sculpture, sci-fi prop, and architectural lighting installation.

Internal Structure and Connectors

The internal framework was one of the biggest design challenges of the project.

Every connection point needed to:

  • Hold precise geometric dihedral angles
  • Support acrylic faces using screw mounting holes
  • Route wiring internally
  • House LED pixel bulbs

To make that possible, I designed a custom set of internal connectors and structural components that were all 3D printed on my Bambu X1-Carbon.

The parts act almost like a geometric skeleton hidden beneath the acrylic shell. Each connector was designed specifically for the angle and relationship between surrounding faces, which meant a lot of iteration and test fitting before everything finally aligned correctly.

Once assembled, the structure becomes surprisingly rigid despite the complexity of the geometry.

The Geometry

This structure is the dual of a 4-frequency octahedral geodesic sphere, which creates a beautiful mix of polygonal faces and intricate vertex connections.

The finished model contains:

  • 66 faces
  • 192 edges
  • 128 vertices

Every vertex became an opportunity for light placement, which meant designing the entire structure around the lighting system from the beginning.

Designing the Faces

The faces use a two-layer acrylic system:

  • A base layer of :proofgrade: Green Glass Acrylic
  • A top layer of Holographic Nightmare Iridescent Acrylic

The idea was that the LED pixels positioned at each vertex would edge-light the green acrylic underneath while the holographic top layer would catch and scatter reflections.

Thankfully, the experiment worked even better than I hoped.

The green acrylic channels the light beautifully, while the iridescent layer creates constantly shifting reflections depending on viewing angle and animation effects. During the day, the sphere has a dark metallic appearance. At night, it transforms into something completely different.

Assembly

At several stages, the project looked more like a failed robot than a finished sculpture.

But slowly, face by face, the geometry came together.

And once the final panels were installed and the WLED controller powered on for the first time, it immediately became one of my favorite builds.

Lighting with WLED

Lighting is powered using a Dig2Go WLED controller, which made it possible to create dynamic animations and effects across all 128 vertex lights.

 

If you’ve never experimented with WLED before, it’s incredibly powerful. The software allows for endless combinations of animations, color palettes, transitions, and reactive effects.

 

Because every LED is positioned at a vertex, the geometry itself becomes part of the animation. Instead of simply illuminating the object, the lighting emphasizes the mathematical structure of the sphere.

Final Thoughts

The combination of holographic acrylic, glowing edges, and animated lighting gives the finished sphere an almost futuristic energy that changes completely depending on the environment and lighting mode.