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Two-paper project · revised 6 September 2026

Supercenter–Soddy Project

A paired study connecting in-excentral supercenters, signed parents, reciprocity, equal-detour points, and Soddy–orthocenter specializations. Only the finished PDF papers are published here.

The Supercenter: An In-Excentral Continuation of the Orthocenter

Signed Parents, Branches, and Reciprocity · 28 pages

An inverse and geometric study of the supercenter and its signed-parent branches.

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Power-k Equal-Detour Points of Triangles and Simplices

Existence, Closure, and the Soddy–Orthocenter Specializations · 13 pages

A study of equal-detour points, existence and closure, and their Soddy–orthocenter specializations.

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