Large Language Models asked to "be creative" produce solutions that converge on a small number of archetypes — the Median Trap. This repository contains the experiment code and full dataset (196 solutions across 8 conditions) for a systematic comparison of methods that escape it.
We test three novel architectures against baselines:
- Semantic Tabu — accumulating constraints that block previously used mechanisms
- Solution Taxonomy (Studio Model) — a dual-agent system where an Explorer proposes and a Taxonomist curates an evolving ontology graph
- Orthogonal Insight Protocol — constructing coherent alternative physics, solving the problem within them, and extracting mechanisms back to reality
Prior work: This paper extends Algorithmic Creativity via Strange Worlds (Westerberg, 2025), which introduced the Orthogonal Insight Protocol and tested it against a single baseline.
All eight conditions tackle the same hard problem:
"How do we build a retirement system for people who don't know how much they will earn next month, where 'consistency' is impossible?"
| Condition | Inspiration | Novelty Mechanism |
|---|---|---|
| A: Semantic Tabu | None | Tabu list |
| B: Solution Taxonomy | None | Graph |
| C: Random Seed | Seed word | None |
| D: Seed + Tabu | Seed word | Tabu list |
| E: Seed + Taxonomy | Seed word | Graph |
| F: Orthogonal | Alien physics | None |
| G: Orthogonal + Tabu | Alien physics | Tabu list |
| H: Orthogonal + Taxonomy | Alien physics | Graph |
25 runs per condition. Conditions B and H had 23 solutions accepted into their taxonomy graphs (2 rejected each as structurally redundant), yielding 196 distinct solutions.
- The Studio Model (Conditions B, E, H) exhibited emergent metacognition: active commissioning of research, structural coaching, and ontological accommodation (restructuring categories when data defied classification).
- The system independently derived advanced economic concepts including antifragility, metric dissolution, and flow rights as alternatives to accumulation.
- Different architectures produce different solution space topologies: Tabu forces vertical depth, Seeds create lateral branching, and Orthogonal Insight extracts epistemological stances.
paper/ LaTeX source and compiled PDF
src/taxonomy_graph/ Graph data structure and embedding service
agents/ Agent prompts (explorer.md, taxonomist.md) and orchestration
run_experiment.py Main entry point
analysis/ Result analysis scripts
seeds.json 25 seed words used for Conditions C-H
schema.json Solution output schema
Data directories (25 JSON files each):
| Directory | Condition |
|---|---|
semantic_tabu/ |
A |
taxonomy/ |
B |
random_seed/ |
C |
seed_tabu/ |
D |
taxonomy_seed/ |
E |
strange_worlds/ |
F |
strange_worlds_tabu/ |
G |
taxonomy_worlds/ |
H |
Each JSON file contains the full agent output (world-building text, solver reasoning, extracted solution) for reproducibility.
Requires Claude Opus 4.5 and a valid Anthropic API key.
pip install -r requirements.txt
python run_experiment.py --condition [A-H]The Orthogonal Insight Engine is available as a standalone open-source tool: emergent-wisdom/orthogonal-insight-engine
MIT License