String-Encoded Perimeter Representations of 50 Geometric Shapes for Symmetry Analysis

An Excel spreadsheet containing string-encoded perimeter representations for 50 geometric shapes (Triacontominoes). The dataset, created by Ruth Dalton and last updated on 2026-05-18, encodes each shape boundary as a turtle-graphics walk using symbols for straight moves and turns. It includes derived string-based symmetry values for each shape, supporting reproducible analysis.

Use Cases

• Calculate and compare string-based symmetry measures based on the derived symmetry value column.
• Analyze structural regularities in geometric perimeters based on identified repeated substrings.
• Benchmark algorithms for shape classification based on discrete string representations.
• Complement pixel-based or topological symmetry analyses as mentioned in the associated paper.

Strengths

• Contains 50 distinct geometric shapes, providing a defined set for analysis.
• Includes a derived quantitative measure (string-based symmetry value) for each shape.
• Released under the permissive CC-BY-4.0 license for broad reuse.

Limitations

• Row count is unknown, which may limit suitability assessment.
• Column-level documentation is absent; field semantics must be inferred after download.
• The dataset is very small (20.9 KB), indicating a limited scope.

Provenance

Source

Ruth Dalton via figshare.

Collection Method

Likely generated for computational geometry research, as it complements analyses in an associated paper.

Freshness

Last updated 2026-05-18 15:07:42; freshness should be verified.