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ping-pong

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c=24; determinant 81; D6 amphichiral; Θ trivial; 26 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. Canonical id: S_24_d81_D6_amphi.

m01 m02 m03 m04 m05 m06 m07 m08 m09 m10 m11 m12 m13 m14 m15 m16 m17 m18 m19 m20 m21 m22 m23 m24 m25 ping-pong · sculpture

The knots shown here are generated and identified by the Knot-Identification Pipeline, a system by W.A.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.

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