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S_32_d9_D3_chiral

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c=32; determinant 9; D3 chiral; Θ non-trivial; 2 members discovered. Each member is the same knot type, reached by different construction parameters. The count is members discovered so far; further members exist by construction and are not yet discovered.

m01 m02

The knots shown here are generated and identified by the Knot-Identification Pipeline, a system by Werner Alois Stanggassinger in collaboration with Claude Code (Anthropic) — this website and the pipeline are their joint work. The Stanggassinger-family construction method (atomic module · Cn/Sn symmetry · closure constraint) is published here for attribution and priority.

© 2026 Werner Alois Stanggassinger · knot data CC BY 4.0 · machine-knot curves CC BY-NC 4.0 · sculptures, their curves & images © all rights reserved · the identification pipeline is open source (GPL-3.0, GitHub, archived at doi:10.5281/zenodo.23766950); the scripts deposited with a paper on Zenodo are public under that deposit’s licence.
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