Updates

Some changes that are happening, and worth keeping.

This page records recent project progress, page adjustments, and content organization across MidnightDesk. Each update stays brief, while keeping the context and meaning of the change.

MidnightDesk Main Site Rebuild

Full-site Chinese organization begins

MidnightDesk began a fuller round of Chinese organization across the homepage, work page, about page, updates archive, project details, navigation, buttons, and tags. The new Chinese version keeps the original tone where possible while making the pages more natural for Chinese readers.

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MidnightDesk Main Site Rebuild

Main site rebuild begins

The older main site carried a strong developer-tool feeling. The work was not presented clearly enough, and the structure was not suited to long-term public reading. This rebuild reorganized page hierarchy, work entry points, and access paths, bringing MidnightDesk closer to a personal portfolio that can be read directly.

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Pythagorean Theorem Proof Study

A round of overlap checking completed

After the two proof chains were completed, the project searched public paper sites, proof databases, and collections of Pythagorean theorem proofs in a more systematic way. Within the current search scope, no material was found that closely overlaps with these two proof paths.

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Pythagorean Theorem Proof Study

Two proof chains completed

The Pythagorean proof exploration completed two proof chains that can be read independently: one around incenter intercepts and local similarity, and another around the incircle, the A-excircle, and the internal homothety center. Both proofs have been organized into Markdown and PDF versions.

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Pythagorean Theorem Proof Study

Proof exploration reopened

After the first stage was set aside, a new geometric idea made the project possible again. The project then rechecked places where AI-assisted reasoning could be misread, and adjusted how supporting tools would be used afterward.

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