File size: 1,205 Bytes
b0e88cf | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 | # Circle Packing
Pack 26 non-overlapping circles in a unit square to maximize the sum of their radii (AlphaEvolve B.12). Target: 2.635.
## Problem
- Pack exactly 26 circles inside a unit square
- No circles may overlap
- Each circle must lie entirely within the square
- Maximize the sum of all radii
## Run
```bash
# From repo root
uv run skydiscover-run \
benchmarks/math/circle_packing/initial_program.py \
benchmarks/math/circle_packing/evaluator.py \
-c benchmarks/math/circle_packing/config.yaml \
-s [your_algorithm] \
-i 100
```
A `codebase/reference/` directory is provided with geometric insights (hex grids, optimization patterns, packing strategies) that can be used with agentic mode (`--agentic`).
## Scoring
- **combined_score**: `sum_of_radii / 2.635` (ratio to AlphaEvolve target)
- Evaluator validates no overlaps and boundary constraints
## Files
| File | Description |
|------|-------------|
| `initial_program.py` | Seed: simple ring-based circle arrangement |
| `evaluator.py` | Validates constraints, computes sum-of-radii ratio to target |
| `config.yaml` | LLM and evaluator settings |
| `codebase/reference/` | Geometric reference material for agentic mode |
|