A 3D-printed acoustic metamaterial tuned to octave harmonics of Earth's electromagnetic resonance. The first physical proof that constraint propagation media can exist.
A 60×60×15mm block containing nine Helmholtz resonator cells arranged in a Latin square pattern. Each cell is tuned to a specific frequency — octave harmonics of the Schumann resonance (7.83 Hz), Earth's electromagnetic heartbeat.
Sound waves passing through the block are selectively filtered: frequencies aligned with Earth's resonance are absorbed, while others pass through unchanged.
The Schumann resonance (7.83 Hz) is the electromagnetic frequency of the cavity between Earth's surface and ionosphere. We can't print a 7.83 Hz resonator — it would be room-sized. Instead, we tune to octave harmonics:
| Cell | Harmonic | Calculation | Frequency |
|---|---|---|---|
| A | 64th | 7.83 × 64 | 501.12 Hz |
| B | 128th | 7.83 × 128 | 1002.24 Hz |
| C | 256th | 7.83 × 256 | 2004.48 Hz |
The Coresonator demonstrates all six foundational operations of the Coherence Framework in a single physical object:
8,000+ possible cavity configurations; we select 9 stable ones
A/B/C cells have different frequency responses — non-transitively
Cavities couple acoustically — changing A affects B and C
Entire 60×60mm behavior encoded in one 20×20mm unit cell
Topology persists even if you scale ±20% or compress slightly
Target frequencies act as observer — structure "responds" to measurement
Acoustic simulation confirms the block selectively attenuates the targeted Schumann harmonics:
The entire pipeline is open source. Generate your own STL:
# Install dependencies
pip install "numpy" "trimesh[easy]" "scipy" "matplotlib" "gudhi"
# Generate the STL
python -m pattern.examples.generate_v1
# Output: pattern/output/coherence_block_v1.stl
Ready to print. Tested on FDM and resin. Supports recommended for overhangs.
Download STL // 329 KBThe Coresonator demonstrates constraint propagation in the acoustic domain. The same principles scale to other domains:
Buildings and bridges that sense their own damage — no wiring, no power, no maintenance
Constraint networks that concentrate ambient vibration onto piezo elements for passive power generation
Metamaterials that selectively filter acoustic, thermal, or EM energy based on topology
Suspension, cabin acoustics, and body panels that sense and respond without electronics
Zero-power sensor arrays queried via ultrasound — no batteries, no chips, infinite lifespan
Physical systems that find optimal solutions faster than digital for routing, scheduling, and optimization
The Coresonator is basic. It's a 2025 acoustic panel. But it contains the blueprint for something bigger:
2025 — Acoustic metamaterial blocks
2030 — Mechanical logic gates (flexure networks that compute)
2035 — Programmable matter (self-modifying constraint networks)
2040 — Structures that maintain coherence across radical transformations
2050 — Coherence Engines (manufactured matter that computes)
The framework isn't about designing objects. It's about designing constraint propagation media that think for themselves.