Symmetry and Compactness Metrics for 50 Triacontomino Shapes

50 geometric shapes (Triacontominoes) are analyzed with multiple quantitative descriptors. The dataset, created by Ruth Dalton and last updated in May 2026, contains symmetry and compactness measurements. It supports replication of analyses in an accompanying paper and enables further investigation of shape morphology.

Use Cases

• Replicate Hillier's Symmetry Index analysis based on configurational symmetry measures mentioned in the description
• Investigate relationships between symmetry and compactness based on the provided shape descriptors
• Apply Fourier-based descriptors for computational shape analysis
• Use information-theoretic measures for analyzing shape perimeter encodings

Strengths

• Contains 50 distinct geometric shapes for analysis
• Provides multiple quantitative descriptors per shape, including symmetry indices, compactness, and fractal dimension
• Dataset is 35.6 KB, making it lightweight and easy to share

Limitations

• Row count is unknown, which may limit suitability assessment
• Column-level documentation is absent; field semantics must be inferred after download

Provenance

Source

figshare

Collection Method

Curated set of shapes with calculated measurements, likely for a specific research paper.

Freshness

Last updated 2026-05-18 15:10:07; freshness should be verified